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 1350rev/min .

Part A

For a 11.1-mm-diameter drill bit turning at a constant 1350rev/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 1350rev/min .

Part A

For a 11.1-mm-diameter drill bit turning at a constant 1350rev/min , find the maximum linear speed of any part of the bit.

v = m/s

SubmitMy AnswersGive Up

Part B

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

arad =

Explanation / Answer

A)

here,

angular speed , w = 1350 rev/min

w = 1350 * 2pi/60 rad/s

w = 141.4 rad/s

Now, maximum velocity = w*radius

maximum velocity = 141.5 * 0.0111/2

maximum velocity = 0.784 m/s

the maximum linear speed of any part of the bit is 0.784 m/s

B)

Now, arad = v^2/r

arad = 0.784^2/(0.0111/2)

arad = 110.9 m/s^2

maximum radial acceleration of any part of the bit is 110.9 m/s^2

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