# The drill bit of a variable speed electric drill has a constant angular acceleration of 2.50...

## Question:

The drill bit of a variable speed electric drill has a constant angular acceleration of 2.50 rad/s{eq}^2 {/eq}. The initial angular speed of the bit is 5.00 rad/s. After 4.00 s, (a) what angle has the bit turned through and (b) what is the bit's angular speed?

## Rotational Motion

A rotating mass with constant angular acceleration can be described using rotational motion. The kinematic equations used to solve linear motion are also applicable to this type of problem. The condition to do this is to convert translational variables into angular variables.

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Part(a):Solve the angle at time = 4.00 s using the equation

{eq}\theta = \omega_i t + \frac{1}{2}\alpha t^2 {/eq}

where

Practice Applying Rotational Motion Formulas

from

Chapter 17 / Lesson 15
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Physics students should be comfortable applying rotational motion formulas. Review the definition of rotational motion and practice using the relevant formulas with the provided examples.