Problem 2E

Section 12.1 Rotational Motion

A high-speed drill reaches 2000 rpm in 0.50 s.

a. What is the drill’s angular acceleration?

b. Through how many revolutions does it turn during this first 0.50 s?

Solution 2 E

a.)

Step 1 of 2

We have to find the drill’s angular acceleration.

The drill’s angular acceleration can be found from the expression.

where,

initial angular velocity = 0 rad/s

final angular velocity = 2000 rpm

s

Conversion of 2000 rpm to rad/s

Thus,

Therefore, the drill’s angular acceleration is 419 rad/s.

b.)