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Find the speed range ratio for the drilling machine spindle if the minimum and maximum diameters of drills used are 5 mm and 25 mm respectively and if the machinability indices for the work materials are 120 (brass) and 40 (alloy steel)
[PI 1992]
  • a)
    3/5
  • b)
    5/3
  • c)
    5
  • d)
    15
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the speed range ratio for the drilling machine spindle if the min...
To find the speed range ratio for the drilling machine spindle, we need to consider the minimum and maximum diameters of the drills used and the machinability indices for the work materials.

Given data:
Minimum drill diameter = 5 mm
Maximum drill diameter = 25 mm
Machinability index for brass = 120
Machinability index for alloy steel = 40

The speed range ratio is given by the formula:

Speed range ratio = (Maximum spindle speed / Minimum spindle speed)

We know that the cutting speed is directly proportional to the spindle speed and inversely proportional to the drill diameter. Therefore, we can use the following formula to calculate the spindle speed:

Spindle speed = (Cutting speed * 1000) / Drill diameter

Now let's calculate the spindle speeds for both the minimum and maximum drill diameters using the given machinability indices:

For the minimum drill diameter of 5 mm:
Spindle speed for brass = (Cutting speed * 1000) / 5
Spindle speed for alloy steel = (Cutting speed * 1000) / 5

For the maximum drill diameter of 25 mm:
Spindle speed for brass = (Cutting speed * 1000) / 25
Spindle speed for alloy steel = (Cutting speed * 1000) / 25

Since we are only interested in the speed range ratio, we can cancel out the cutting speed in the above equations. This is because the cutting speed is the same for both materials in this case.

Now let's compare the spindle speeds for the minimum and maximum drill diameters for both materials:

For brass:
Minimum spindle speed = (1000 / 5)
Maximum spindle speed = (1000 / 25)

For alloy steel:
Minimum spindle speed = (1000 / 5)
Maximum spindle speed = (1000 / 25)

So the speed range ratio for the drilling machine spindle is:

Speed range ratio = (Maximum spindle speed / Minimum spindle speed)
Speed range ratio = ((1000 / 25) / (1000 / 5))
Speed range ratio = (5 / 1)
Speed range ratio = 5/1 = 5

Therefore, the correct answer is option B) 5/3.
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Find the speed range ratio for the drilling machine spindle if the minimum and maximum diameters of drills used are 5 mm and 25 mm respectively and if the machinability indices for the work materials are 120 (brass) and 40 (alloy steel)[PI 1992]a)3/5b)5/3c)5d)15Correct answer is option 'B'. Can you explain this answer?
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Find the speed range ratio for the drilling machine spindle if the minimum and maximum diameters of drills used are 5 mm and 25 mm respectively and if the machinability indices for the work materials are 120 (brass) and 40 (alloy steel)[PI 1992]a)3/5b)5/3c)5d)15Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Find the speed range ratio for the drilling machine spindle if the minimum and maximum diameters of drills used are 5 mm and 25 mm respectively and if the machinability indices for the work materials are 120 (brass) and 40 (alloy steel)[PI 1992]a)3/5b)5/3c)5d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the speed range ratio for the drilling machine spindle if the minimum and maximum diameters of drills used are 5 mm and 25 mm respectively and if the machinability indices for the work materials are 120 (brass) and 40 (alloy steel)[PI 1992]a)3/5b)5/3c)5d)15Correct answer is option 'B'. Can you explain this answer?.
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