Exercise 9.27 According to the shop manual, when drilling a 11.1-mm-diameter hol

Question

Exercise 9.27

According to the shop manual, when drilling a 11.1-mm-diameter hole in wood, plastic, or aluminum, a drill should have a speed of 1400 rev/min .

Part A

For a 11.1-mm-diameter drill bit turning at a constant 1400 rev/min , find the maximum linear speed of any part of the bit.

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Part B

Find the maximum radial acceleration of any part of the bit.

Exercise 9.27

According to the shop manual, when drilling a 11.1-mm-diameter hole in wood, plastic, or aluminum, a drill should have a speed of 1400 rev/min .

Part A

For a 11.1-mm-diameter drill bit turning at a constant 1400 rev/min , find the maximum linear speed of any part of the bit.

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Part B

Find the maximum radial acceleration of any part of the bit.

Explanation / Answer

A)
w = 1400 rev/min = 1400*2*pi/60 rad/s = 146.61 rad/s
r = (11.1/2) = 5.55 mm = 0.00555 m
linear speed, V = r*w
                            = 0.00555*146.61
                            =0.814 m/s
B)
Radial acceleration = V^2/r
                                    =(0.814)^2 / 0.00555
                                    =119.3 m/s^2

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