Answer:
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.