Question

A cd han an initial angular speed of 600 revolutions per minute. If the disc stop rotating after 4 seconds, what is its angular acceleration?

Answer 1

the angular acceleration of the CD is -2.5π radians per second squared.

To determine the angular acceleration of the CD, we need to use the formula for angular acceleration:

Step-by-step explanation:

Angular acceleration = (final angular speed - initial angular speed) / time

Let's break down the given information and calculate the angular acceleration:

Initial angular speed = 600 revolutions per minute

Final angular speed = 0 revolutions per minute (since the disc stops rotating)

Time = 4 seconds

First, we need to convert the initial angular speed from revolutions per minute to radians per second. Since 1 revolution is equal to 2π radians, we can calculate the initial angular speed as follows:

Initial angular speed = 600 revolutions per minute * (2π radians / 1 revolution) * (1 minute / 60 seconds) = 600 * 2π / 60 radians per second

Now, we can substitute the values into the formula for angular acceleration:

Angular acceleration = (0 - (600 * 2π / 60)) / 4

Simplifying the equation:

Angular acceleration = (-600π / 60) / 4

Angular acceleration = -10π / 4

Angular acceleration = -2.5π radians per second squared

Therefore, the angular acceleration of the CD is -2.5π radians per second squared. The negative sign indicates that the disc is decelerating or slowing down.