All questions of Machining & Machine Tool Operations for Mechanical Engineering Exam

My grandpa __________ (sleep) for three hours when I woke him up.
Correct answer is 'had been sleeping'. Can you explain this answer?

Explanation:

The correct answer to the given sentence is "had been sleeping" because it is in past perfect continuous tense. This tense is used to describe an action that was ongoing in the past before another action took place.

Here is a detailed explanation of the sentence:

- The sentence is in the past tense, as indicated by the word "woke" which is the past tense of "wake".
- The action of sleeping started before the moment of waking up and continued until that moment.
- The past perfect continuous tense is formed using the auxiliary verb "had" in the past perfect tense, the main verb "been" in the present participle form, and the main verb "sleep" in the base form with "-ing" added to the end.
- The sentence can be rephrased as "By the time I woke him up, he had been sleeping for three hours."
- The use of past perfect continuous tense emphasizes the duration of the action of sleeping that had been happening before the moment of waking up.

In summary, the correct answer "had been sleeping" indicates that the action of sleeping had started before the moment of waking up and had been ongoing for a duration of three hours until that moment.

Stroke of a shaping machine is 250 mm. It makes 30 double strokes per minute. Overall average speed of operation is
  • a)
    3.75 m/min
  • b)
    5.0 m/min
  • c)
    7.5 m/min
  • d)
    15.0 m/min
Correct answer is option 'C'. Can you explain this answer?

Shraddha Datta answered
Given data:
Stroke of a shaping machine = 250 mm
Number of double strokes per minute = 30

To find: Overall average speed of operation

Formula used:
Overall average speed of operation = (length of stroke x number of double strokes per minute) / 1000

Calculation:
Substituting the given values in the formula, we get
Overall average speed of operation = (250 x 30) / 1000
= 7.5 m/min

Therefore, the correct answer is option C, i.e., 7.5 m/min.

Explanation:
The overall average speed of operation of a shaping machine is the distance traveled by the tool in one minute. As the machine makes 30 double strokes per minute, the tool travels a distance of 250 mm x 30 = 7500 mm or 7.5 m in one minute. Hence, the overall average speed of operation is 7.5 m/min.

Using the Taylor equation for tool life and letting n = 0.5 and C= 400, calculate the percentage increase in tool life when the cutting speed is reduced by 50%.
  • a)
    100%
  • b)
    No change
  • c)
    400%
  • d)
    300%
Correct answer is option 'D'. Can you explain this answer?

Vaibhav Khanna answered
Taylor Equation for Tool Life:
The Taylor equation is used to determine the relationship between cutting speed and tool life. The equation is as follows:

VT^n = C

where,
V = cutting speed
T = tool life
n, C = constants

Calculating the Percentage Increase in Tool Life:
Given, n = 0.5 and C = 400

Let's assume the initial cutting speed is V1 and the corresponding tool life is T1. When the cutting speed is reduced by 50%, the new cutting speed becomes V2 = V1/2.

Using the Taylor equation, we can find the new tool life T2.

T1 = C/V1^n

T2 = C/V2^n
= C/(V1/2)^n
= C/(2^n * V1^n)
= (1/2^n) * (C/V1^n)
= (1/2^(0.5)) * T1
= 0.707 * T1

Therefore, the new tool life T2 is 0.707 times the initial tool life T1.

The percentage increase in tool life is given by:

((T2 - T1)/T1) * 100
= ((0.707T1 - T1)/T1) * 100
= -29.3%

However, we need to calculate the percentage increase in tool life when the cutting speed is reduced by 50%. This can be found as follows:

Percentage increase in tool life = |((T2 - T1)/T1) * 100|
= |((-0.293) * 100)|
= 29.3%

Therefore, the percentage increase in tool life when the cutting speed is reduced by 50% is 29.3%. This is option 'D'.

Which among the following is slowest speed operation in lathe?
  • a)
    Turning
  • b)
    Thread cutting
  • c)
    Taper turning
  • d)
    Knurling
Correct answer is option 'A'. Can you explain this answer?

The dummy activities are used to complete the iogical sequence, but do not consume any time or resources. A dummy activity is thus a connecting link for control purpose or for maintaining uniqueness of activity.

Tool signature is
  • a)
    a numerical method of identification of tool
  • b)
    the plan of tool
  • c)
    the procedure adopted for describing various tool angles
  • d)
    used to describe the material of too
Correct answer is option 'C'. Can you explain this answer?

Tanishq Rane answered
The correct answer is option 'C', which states that tool signature is the procedure adopted for describing various tool angles. In the field of mechanical engineering, tool signature plays an important role in understanding and identifying the characteristics of a cutting tool. It consists of a set of numbers and symbols that provide information about the angles and dimensions of the tool.

The tool signature is used to describe the various angles associated with a cutting tool. These angles include:

1. Rake angle: It is the angle between the rake face of the tool and the normal to the machined surface. It determines the direction of chip flow and affects the cutting forces and tool life.

2. Relief angle: It is the angle between the flank of the tool and a line perpendicular to the machined surface. It provides clearance for the tool, reducing friction and minimizing the chance of built-up edge formation.

3. Side cutting edge angle: It is the angle between the side cutting edge of the tool and the machined surface. It determines the direction of cutting forces and affects the chip thickness and surface finish.

4. End cutting edge angle: It is the angle between the end cutting edge of the tool and the machined surface. It affects the cutting forces and surface finish.

5. Nose radius: It is the radius of curvature at the tip of the tool. It reduces the stress concentration and improves tool life.

The tool signature also includes information about the dimensions of the tool, such as the tool height, tool width, and nose radius. These dimensions are important for selecting the appropriate tool for a specific machining operation.

By using the tool signature, engineers and machinists can easily identify and select the right tool for a particular machining operation. It helps in optimizing cutting conditions, reducing tool wear, and improving productivity. Moreover, the tool signature is also useful in tool regrinding or replacement, as it provides a reference for restoring the original tool angles.

In conclusion, the tool signature is a procedure adopted for describing various tool angles. It is an essential tool in the field of mechanical engineering, providing valuable information for tool selection, optimization of cutting conditions, and tool maintenance.

Climb milling is chosen while machining because
  • a)
    the chip thickness increases gradually
  • b)
    it enables the cutter to dig in and start the cut
  • c)
    the specific power consumption is reduced
  • d)
    better surface finish can be obtained
Correct answer is option 'C'. Can you explain this answer?

Kiran Basu answered
Followings are the advantages of down or climb milling:
- cuttter tends to push the workpiece against the milling table in the downward direction thereby increasing the stability.
- the cutter has increased tool life as compared to up milling because of higher values of rake angle.
- specific power consumption is low.

The regulating wheel of a centreless grinder is rotating at a surface speed of 127 mm/s and is inclined at an angle of 5°, Calculate the feed rate of material past the grinding wheel. [sin5° = 0.087, cos5° = 0.996]
  • a)
    5.2 mm/s
  • b)
    8 mm/s
  • c)
    11 mm/s
  • d)
    14.2 mm/s
Correct answer is option 'C'. Can you explain this answer?

Aniket Saini answered
Degrees. The diameter of the regulating wheel is 254 mm.

To find the rotational speed of the regulating wheel, we can use the formula:

Rotational speed = Surface speed / Circumference

The circumference of the regulating wheel can be calculated using the formula:

Circumference = π * diameter

Circumference = 3.14 * 254 mm
Circumference = 798.36 mm

Now, we can calculate the rotational speed:

Rotational speed = 127 mm/s / 798.36 mm
Rotational speed ≈ 0.159 radians/s

Therefore, the rotational speed of the regulating wheel is approximately 0.159 radians/s.

Trepanning operation is performed for
  • a)
    finishing a drilled hole
  • b)
    trueing a hole for alignment
  • c)
    producing large hole
  • d)
    sizing a small hole
Correct answer is option 'C'. Can you explain this answer?

Explanation:

Trepanning operation for producing large holes:
- Trepanning is a machining process used to produce large holes in a workpiece.
- It involves cutting out a disk-shaped piece of material to create the hole rather than drilling all the material out.
- This method is more efficient and faster than traditional drilling for large hole sizes.

Finishing a drilled hole:
- Once a hole is drilled, additional operations such as reaming or boring may be used to finish and size the hole to the required dimensions.
- These operations ensure that the hole is smooth, accurate, and meets the necessary tolerances.

Trueing a hole for alignment:
- Trueing a hole refers to aligning or straightening a hole that may have been drilled off-center or at an angle.
- This process is important in applications where precise alignment is critical, such as in the assembly of machine components.

Sizing a small hole:
- Sizing a small hole involves adjusting the diameter of the hole to meet specific requirements.
- This can be done using techniques such as reaming, honing, or grinding to achieve the desired hole size and surface finish.
In conclusion, trepanning operation is primarily used for producing large holes in a workpiece. While other operations like finishing, trueing, and sizing are also important in hole-making processes, trepanning specifically focuses on creating large holes efficiently and accurately.

In which of the following milling operation cutter is rotated in the same direction of travel of work piece
  • a)
    Up milling
  • b)
    Down milling
  • c)
    Face milling
  • d)
    End millingin 
Correct answer is option 'B'. Can you explain this answer?

Arjun Unni answered

Down Milling:

Down milling is the milling operation in which the cutter rotates in the same direction as the travel of the workpiece. This type of milling is also known as climb milling. Let's understand why down milling is carried out in this manner.

Advantages of Down Milling:
- In down milling, the cutting forces tend to push the workpiece towards the table, resulting in a better surface finish.
- It reduces the risk of workpiece lifting off the table, ensuring better stability during the machining process.
- Down milling also helps in reducing tool wear and prolonging tool life.
- It is suitable for cutting materials that are prone to work hardening.

Comparison with Up Milling:
In up milling, the cutter rotates in the opposite direction to the travel of the workpiece. This type of milling is also known as conventional milling. Up milling has the following disadvantages compared to down milling:
- Up milling tends to create a rougher surface finish due to the cutting forces pulling the workpiece away from the table.
- It can cause workpiece chatter and vibration, leading to poor machining accuracy.
- Up milling is more likely to cause tool chipping and premature tool wear.

Conclusion:
In conclusion, down milling is preferred over up milling in most cases due to its advantages in terms of surface finish, stability, and tool life. It is important to consider the specific requirements of the machining operation and choose the appropriate milling technique accordingly.

A blind hole is better tapped with a tap having
  • a)
    right hand flutes
  • b)
    left hand flutes
  • c)
    straight flutes
  • d)
    no flutes
Correct answer is option 'A'. Can you explain this answer?

Harshad Iyer answered
Right Hand Flutes for Tapping Blind Holes
Blind holes are holes that do not go completely through the material, resulting in a bottom surface. Tapping blind holes can be challenging because the tap needs to effectively remove the chips from the hole without them getting stuck at the bottom. Using the right tap with the appropriate flute direction can make the tapping process much smoother.

Right hand flutes are better for tapping blind holes
- When tapping a blind hole, it is essential to use a tap with right-hand flutes. Right hand flutes are designed to push the chips forward, away from the bottom of the hole. This helps prevent the chips from getting lodged at the bottom and causing issues during the tapping process.
- The right-hand flutes also help in clearing the chips effectively, ensuring a smoother tapping operation and reducing the chances of tap breakage or thread damage.
- Using a tap with left-hand flutes in a blind hole can lead to chip buildup at the bottom, making it difficult to tap the hole properly. This can result in poor thread quality and may even damage the tap or the workpiece.
- Straight flutes or taps with no flutes are not recommended for tapping blind holes as they do not effectively evacuate the chips, leading to potential issues during the tapping process.

Conclusion
In conclusion, when tapping a blind hole, it is crucial to use a tap with right-hand flutes. This will help ensure a smooth tapping operation, prevent chip buildup at the bottom of the hole, and result in high-quality threads. By choosing the right tap for the job, you can improve the efficiency and accuracy of your tapping operations.

In grinding operation for faster and bulk material removal
  • a)
    fine grain size is used
  • b)
    medium grain size is used
  • c)
    corse grain size is used
  • d)
    any grain size may be used
Correct answer is option 'C'. Can you explain this answer?

Rashi Chauhan answered
When material is removed in bulk, coarse grain is used and this is called roughening operation while in case of finishing and super finishing operation fine grain structure is used at high speed.

The broaching operation in which the work moves past the stationary tool is called
  • a)
    pull broaching
  • b)
    push broaching
  • c)
    surface broaching
  • d)
    continuous broaching
Correct answer is option 'D'. Can you explain this answer?

Mansi Rane answered
The reciprocation of the broach always involves an un-producting return stroke, which is eliminated in a continuous surface broaching machine. In this the small workpieces are mounted on the broaching fixtures which are in turn fixed to a continuously moving conveyor. Broaches which are normally stationary, are kept above the workpieces. The workpieces are pushed past the stationary broaches by means of the conveyor for cutting. The workpieces can be loaded and unloaded onto the conveyor manually or automatically. These machines are used for mass production.

 Which one of the following gear manufacturing processes is not based on generation principle?
  • a)
    Gear hobbing
  • b)
    Gear shaping
  • c)
    Gear milling
  • d)
    Gear shaving
Correct answer is option 'D'. Can you explain this answer?

Anu Deshpande answered
Gear Manufacturing ProcessesThere are several gear manufacturing processes, including gear hobbing, gear shaping, gear milling, and gear shaving. These processes are used to create gears of different sizes and shapes for various applications.Generation PrincipleThe generation principle is a method used in gear manufacturing that involves using a cutting tool that has the same shape as the gear tooth profile. The cutting tool is moved along the gear blank to create the tooth profile. This method is used in gear hobbing, gear shaping, and gear milling.Gear ShavingGear shaving is a gear manufacturing process that is not based on the generation principle. It involves using a shaving cutter to remove a small amount of material from the gear tooth surface. The shaving cutter is a cylindrical tool with a helical cutting edge. The gear blank is mounted on a special fixture, and the shaving cutter is brought into contact with the gear tooth surface at a specific angle.Advantages of Gear ShavingSome advantages of gear shaving include:1. Improved surface finish: Gear shaving can produce a smoother surface finish than other gear manufacturing processes.2. Increased gear accuracy: Gear shaving can improve the accuracy of gear teeth by removing any surface irregularities.3. Reduced noise: Gear shaving can reduce gear noise by producing a smoother gear tooth surface.ConclusionIn summary, gear manufacturing processes such as gear hobbing, gear shaping, and gear milling are based on the generation principle, while gear shaving is not. Gear shaving is a process that involves using a shaving cutter to improve the surface finish, accuracy, and noise level of gear teeth.

Trepanning operation is performed for
  • a)
    finishing a drilled hole
  • b)
    trueing a hole for alignment
  • c)
    producing large hole
  • d)
    sizing a small hole
Correct answer is option 'C'. Can you explain this answer?

Anshul Basu answered
Trepanning operation is performed for producing large holes.

Trepanning operation
Trepanning is a machining process used to produce large holes in a workpiece. It involves removing a cylindrical core of material from the workpiece, leaving behind a large hole. This operation is commonly used in industries such as aerospace, automotive, and oil and gas, where large holes are required for various applications.

Purpose of trepanning operation
The primary purpose of trepanning operation is to produce large holes in a workpiece. This can be done for several reasons, including:

- Creating openings for pipes or cables: Trepanning is often used to create openings in structural components to accommodate pipes, cables, or other components. These openings may be required for fluid flow, electrical connections, or other purposes.

- Forming recesses or pockets: Trepanning can also be used to create recesses or pockets in a workpiece. These recesses or pockets may be needed to provide clearance for other components, allow for the installation of fasteners, or for other reasons.

- Producing large diameter bearings or bushings: Trepanning is commonly used to produce large diameter bearings or bushings. These components are often used in heavy machinery and equipment, where they provide support and rotational movement.

- Creating large diameter through holes: In some cases, trepanning is used to create large diameter through holes in a workpiece. These holes may be required for various applications, such as allowing for the passage of fluids or gases, or providing access for other components.

Advantages of trepanning operation
Trepanning offers several advantages over other machining processes for producing large holes:

- High material removal rate: Trepanning allows for high material removal rates, which means that large holes can be produced quickly and efficiently.

- Accurate hole size and alignment: Trepanning produces accurate hole sizes and alignments, ensuring that the final product meets the required specifications.

- Ability to produce complex shapes: Trepanning can be used to produce complex shapes and contours, allowing for greater design flexibility and versatility.

- Cost-effective: Trepanning is a cost-effective machining process for producing large holes, as it reduces the need for multiple machining operations and reduces material waste.

In conclusion, trepanning is a machining operation performed for producing large holes in a workpiece. It offers several advantages and is commonly used in various industries for applications such as creating openings, forming recesses, producing bearings, and creating large diameter through holes.

Tool signature in ASA system comprises of
  • a)
    4 elements
  • b)
    5 elements
  • c)
    6 elements
  • d)
    7 elements
Correct answer is option 'D'. Can you explain this answer?

Tool Signature in ASA System
Tool signature in ASA system comprises of 7 elements. These elements are essential for defining the cutting tool's geometry and parameters accurately.

Elements of Tool Signature in ASA System:
- Back rake angle (α): It is the angle between the rake face and a line perpendicular to the base of the tool.
- Side rake angle (β): It is the angle between the rake face and the side cutting edge of the tool.
- End relief angle (γ): It is the angle between the end of the tool and a line perpendicular to the base of the tool.
- Side relief angle (δ): It is the angle between the side flank and a line perpendicular to the base of the tool.
- End cutting edge angle (λ): It is the angle formed between the end cutting edge and a line perpendicular to the base of the tool.
- Side cutting edge angle (φ): It is the angle formed between the side cutting edge and a line perpendicular to the base of the tool.
- End cutting edge inclination angle (υ): It is the angle between the end cutting edge and the reference plane.
Having all these elements in the tool signature allows machinists to accurately set up and use cutting tools for various machining operations in the ASA system.

Which of the following indicate better machinability?
1. Smaller shear angle
2. Higher cutting forces
3. Longer tool life
4. Better surface finish
  • a)
    1 and 3
  • b)
    2 and 4
  • c)
    1 and 2
  • d)
    3 and 4
Correct answer is option 'D'. Can you explain this answer?

Sakshi Basak answered
Factors which come into play while evaluating the machinability of any metal are:
1. Tool life
2. Form and size of chip and shear angle
3. Cutting forces and power consumption
4. Surface finish
5. Cutting temperature
6. Rate of metal removal per tool grind
7. Rate of cutting under the standard force
8. Uniformity in dimensional accuracy of successive parts

The cutting tool that performs orthogonal cutting is
  • a)
    twist drill
  • b)
    broach
  • c)
    helical milling cutter
  • d)
    single point cutting tool for turning
Correct answer is option 'B'. Can you explain this answer?

The cutting tool that performs orthogonal cutting is:
2. Single point cutting tool for turning
Orthogonal cutting refers to a cutting process where the cutting edge of the tool is perpendicular to the direction of cutting. This is a characteristic of turning operations using a single point cutting tool, such as in a lathe, where the tool cuts material from a rotating workpiece.

In case of straddle milling the number of side milling cutters mounted on arbor is/are
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Manoj Pillai answered

When milling operation is performed at two different faces simultaneously. By using two milling cutter is called straddle milling.

The function of chip-breaker in a cutting tool is
  • a)
    to get long chips
  • b)
    to break the chips into short segments
  • c)
    to remove chips from the bed
  • d)
    none of the above
Correct answer is option 'B'. Can you explain this answer?

Suyash Patel answered
A continuous type of chip is quite troublesome, they should be broken into comparatively small pieces for the ease of handling and to prevent it from becoming a work hazard, hence chip breakers are used to reduce the swarf into small pieces as they are formed.

In grinding operation for faster and bulk material removal
  • a)
    fine grain size is used
  • b)
    medium grain size is used
  • c)
    corse grain size is used
  • d)
    any grain size may be used
Correct answer is option 'C'. Can you explain this answer?

Rajat Basu answered
When material is removed in bulk, coarse grain is used and this is called roughening operation while in case of finishing and super finishing operation fine grain structure is used at high speed.

The broaching operation in which the work moves past the stationary tool is called
  • a)
    pull broaching
  • b)
    push broaching
  • c)
    surface broaching
  • d)
    continuous broaching
Correct answer is option 'D'. Can you explain this answer?

Anmol Saini answered
The reciprocation of the broach always involves an un-producting return stroke, which is eliminated in a continuous surface broaching machine. In this the small workpieces are mounted on the broaching fixtures which are in turn fixed to a continuously moving conveyor. Broaches which are normally stationary, are kept above the workpieces. The workpieces are pushed past the stationary broaches by means of the conveyor for cutting. The workpieces can be loaded and unloaded onto the conveyor manually or automatically. These machines are used for mass production.

Consider the following actions:
1. Mechanical abrasion
2. Diffusion
3. Plastic deformation
4. Oxidation
Which of the above are the causes of tool wear?
  • a)
    2 and 3
  • b)
    l and 2
  • c)
    1, 2 and 4
  • d)
    1 and 3
Correct answer is option 'B'. Can you explain this answer?

Disha Nambiar answered
Answer should be 1, 2 and 3 but the best answer among available option is (b). Causes of wear are abrasion, sliding, maximum temperature, diffusion and plastic deformation (chipping).

In oblique cutting of metals, the cutting edge of tool is
  • a)
    perpendicular to the work pieee
  • b)
    perpendicular to direction of tool travel
  • c)
    parallel to the direction of tool travel
  • d)
    inclined at an angle less than 90° to the direction of tool travel
Correct answer is option 'D'. Can you explain this answer?

Mahi Kaur answered


Oblique Cutting in Metal Machining

Oblique cutting in metal machining refers to a cutting operation where the cutting edge of the tool is inclined at an angle less than 90 degrees to the direction of tool travel. This type of cutting is commonly used in various machining processes to achieve specific results.

Importance of Oblique Cutting

- Oblique cutting allows for better chip control and improved surface finish compared to orthogonal cutting.
- It helps in reducing cutting forces and power consumption during machining.
- This cutting method is effective in reducing tool wear and extending tool life.

Tool Orientation in Oblique Cutting

In oblique cutting, the cutting edge of the tool is inclined at an angle to the direction of tool travel. This angle is less than 90 degrees, which allows the tool to shear the material at an angle rather than directly against it. This results in reduced cutting forces and improved chip formation.

Benefits of Inclined Cutting Edge

- The inclined cutting edge reduces the contact area between the tool and the workpiece, leading to lower cutting forces.
- It improves chip evacuation by creating a more favorable chip flow direction.
- The shear angle produced by the inclined cutting edge helps in reducing built-up edge formation.

Conclusion

Oblique cutting is a valuable technique in metal machining that offers various advantages over traditional orthogonal cutting. By inclining the cutting edge of the tool at an angle less than 90 degrees to the direction of tool travel, manufacturers can achieve better chip control, surface finish, and overall machining performance.

Soft materials can not be economically grinded due to
  • a)
    the higher temperature involved
  • b)
    frequent wheel clogging
  • c)
    rapid wheel wear
  • d)
    low work piece stiffness
Correct answer is option 'B'. Can you explain this answer?

Mahi Kaur answered
Due to production of long continuous chips in case of soft material, continuous chips forced to enter into the space between the abrasive grains and leads to frequent clogging of wheel.

The main source of heat generation in metal cutting is
  • a)
    primary shear zone
  • b)
    secondary shear zone
  • c)
    primary shear zone + tool-chip interface
  • d)
    secondary shear zone + tool-chip interface
Correct answer is option 'C'. Can you explain this answer?

Dipika Bose answered
Explanation:
Metal cutting involves the removal of material from a workpiece using a cutting tool. The main source of heat generation in metal cutting is the primary shear zone + tool-chip interface.

Primary Shear Zone:
- The primary shear zone is the region where the actual cutting of the workpiece material takes place.
- As the cutting tool penetrates the workpiece, it creates high temperatures due to the deformation and shearing of the material.
- Friction between the tool and the workpiece further contributes to heat generation in this zone.

Tool-Chip Interface:
- The tool-chip interface is the contact area between the cutting tool and the chip that is being formed during the cutting process.
- Heat is generated at this interface due to friction between the tool and the chip as well as the deformation of the chip material.
- The high temperatures at the tool-chip interface can lead to tool wear and affect the quality of the machined surface.

Combination of Primary Shear Zone and Tool-Chip Interface:
- The primary shear zone and the tool-chip interface together account for the majority of heat generation in metal cutting.
- Understanding and managing the heat generated in these zones is crucial for optimizing cutting parameters, reducing tool wear, and improving machining efficiency.
In conclusion, the primary shear zone and the tool-chip interface are the main sources of heat generation in metal cutting. By controlling the heat generated in these zones, manufacturers can improve the overall machining process and achieve better results.

Force on individual grain of a grinding wheel is proportional to the
  • a)
    work speed
  • b)
    square of work speed
  • c)
    cube of work speed
  • d)
    fourth power of work speed
Correct answer is option 'B'. Can you explain this answer?

Devika Tiwari answered
Force on individual grain of a grinding wheel is proportional to the square of work speed.

Grinding is a machining process that involves the removal of material from a workpiece using a grinding wheel. The grinding wheel is made up of abrasive grains that are bonded together and rotate at high speeds to perform the cutting action.

Force on individual grain:
When the grinding wheel comes into contact with the workpiece, each individual abrasive grain on the surface of the wheel interacts with the workpiece material. This interaction creates a force on the grain, which is responsible for the material removal.

Factors affecting the force:
The force on an individual grain of the grinding wheel depends on several factors, including the work speed. The work speed refers to the relative speed between the grinding wheel and the workpiece surface.

Explanation:
The force on an individual grain can be understood by considering the cutting action of the grain on the workpiece material. As the grain moves across the workpiece surface, it cuts and removes material. This cutting action requires the application of a cutting force.

The cutting force is influenced by the speed at which the grain moves across the workpiece surface. At higher work speeds, the grain has less time to engage with the workpiece material, resulting in a shorter contact time. This shorter contact time leads to a higher cutting force being applied by the grain.

Mathematically, the force on an individual grain can be expressed as:

F = K * V^n

Where:
F = Force on grain
K = Constant
V = Work speed
n = Exponent

Proportional to the square of work speed:
The relationship between the force on the grain and the work speed can be determined experimentally. It has been observed that the force on the grain is proportional to the square of the work speed (V^2).

This relationship can be explained by considering the cutting action of the grain. The cutting force is directly related to the rate at which material is being removed. At higher work speeds, the rate of material removal increases, leading to a higher cutting force. The square relationship between the force and the work speed can be attributed to the fact that the cutting force is proportional to the product of the work speed and the rate of material removal.

Therefore, the correct answer is option 'B', the force on an individual grain of a grinding wheel is proportional to the square of the work speed.

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