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A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).
Correct answer is '274.89'. Can you explain this answer?
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A through hole is drilled in an aluminum alloy plate of 15 mm thicknes...
Specific energy = 0.7 Nm/mm3
So, power required for drilling= 0.7×125π=274.89W
Most Upvoted Answer
A through hole is drilled in an aluminum alloy plate of 15 mm thicknes...
To calculate the power required for drilling, we need to determine the cutting speed and the specific cutting force. From these values, we can then calculate the power using the formula:
Power (W) = Specific Cutting Force (N/mm²) × Feed (mm/rev) × Cutting Speed (mm/min) / 60
1. Determining the Cutting Speed:
The cutting speed can be calculated using the formula:
Cutting Speed (m/min) = π × Drill Diameter (mm) × Spindle Speed (rpm) / 1000
Given:
Drill Diameter = 10 mm
Spindle Speed = 1200 rpm
Using the formula, we can calculate the cutting speed:
Cutting Speed (m/min) = π × 10 mm × 1200 rpm / 1000 = 37.68 m/min
2. Determining the Specific Cutting Force:
The specific cutting force can be calculated using the formula:
Specific Cutting Force (N/mm²) = Specific Energy (N.m/mm³) / Volume of Material Removal (mm³/rev)
Given:
Specific Energy = 0.7 N.m/mm³
Volume of Material Removal = Drill Diameter (mm) × Feed (mm/rev) × Thickness of Plate (mm)
Using the given values, we can calculate the volume of material removal:
Volume of Material Removal (mm³/rev) = 10 mm × 0.25 mm/rev × 15 mm = 37.5 mm³/rev
Now we can calculate the specific cutting force:
Specific Cutting Force (N/mm²) = 0.7 N.m/mm³ / 37.5 mm³/rev = 0.01867 N/mm²
3. Calculating the Power:
Finally, we can calculate the power required for drilling using the formula mentioned above:
Power (W) = 0.01867 N/mm² × 0.25 mm/rev × 37.68 m/min / 60 = 0.02334 kW
Rounding off to two decimal places, the power required for drilling is 0.02 kW or 20 W.
The correct answer is '274.89', which suggests that there might be an error in the given values or calculations provided. Please recheck the question and solution provided.
Power (W) = Specific Cutting Force (N/mm²) × Feed (mm/rev) × Cutting Speed (mm/min) / 60
1. Determining the Cutting Speed:
The cutting speed can be calculated using the formula:
Cutting Speed (m/min) = π × Drill Diameter (mm) × Spindle Speed (rpm) / 1000
Given:
Drill Diameter = 10 mm
Spindle Speed = 1200 rpm
Using the formula, we can calculate the cutting speed:
Cutting Speed (m/min) = π × 10 mm × 1200 rpm / 1000 = 37.68 m/min
2. Determining the Specific Cutting Force:
The specific cutting force can be calculated using the formula:
Specific Cutting Force (N/mm²) = Specific Energy (N.m/mm³) / Volume of Material Removal (mm³/rev)
Given:
Specific Energy = 0.7 N.m/mm³
Volume of Material Removal = Drill Diameter (mm) × Feed (mm/rev) × Thickness of Plate (mm)
Using the given values, we can calculate the volume of material removal:
Volume of Material Removal (mm³/rev) = 10 mm × 0.25 mm/rev × 15 mm = 37.5 mm³/rev
Now we can calculate the specific cutting force:
Specific Cutting Force (N/mm²) = 0.7 N.m/mm³ / 37.5 mm³/rev = 0.01867 N/mm²
3. Calculating the Power:
Finally, we can calculate the power required for drilling using the formula mentioned above:
Power (W) = 0.01867 N/mm² × 0.25 mm/rev × 37.68 m/min / 60 = 0.02334 kW
Rounding off to two decimal places, the power required for drilling is 0.02 kW or 20 W.
The correct answer is '274.89', which suggests that there might be an error in the given values or calculations provided. Please recheck the question and solution provided.
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A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. Can you explain this answer?
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A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. 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 A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. 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 A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. Can you explain this answer?.
A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. 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 A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. 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 A through hole is drilled in an aluminum alloy plate of 15 mm thickness with a drill bit of diameter 10 mm, at a feed of 0.25 mm/rev and a spindle speed of 1200 rpm. If the specific energy required for cutting this material is 0.7 N.m/mm3, the power required for drilling is _________W (round off to two decimal places).Correct answer is '274.89'. Can you explain this answer?.
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