Calculating the Average Angular Acceleration of a CD

In summary, during the playing period of a certain CD with a diameter of 12cm and a playing time of 79 minutes, its rotation speed varies from 480 rpm to 213 rpm. The magnitude of the average angular acceleration of the disk during this period can be calculated using the formula σ=Δω/Δt, which results in a value of 0.00589. However, the question specifically asks for the magnitude, which should not be negative.
  • #1
SalsaOnMyTaco
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Homework Statement


Unlike the older vinal records which rotated at a constant ω of 33.3 rotations per minute (rpm), compact disks vary their rotation speed during the playing period. A certain CD has a diameter of 12cm and a playing time of 79 minutes. When the music starts, the CD is rotating at 480 rpm. At the end of the music, the CD is rotating at 213 rpm.

What is the magnitude of the average angular acceleration of the disk during this playing period?

Homework Equations



σ=Δω/Δt

The Attempt at a Solution



([213-480/60]*2∏)/79*60= -.00589

Once i typed the answer, it says its wrong
 
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  • #2
SalsaOnMyTaco said:

Homework Statement


Unlike the older vinal records which rotated at a constant ω of 33.3 rotations per minute (rpm), compact disks vary their rotation speed during the playing period. A certain CD has a diameter of 12cm and a playing time of 79 minutes. When the music starts, the CD is rotating at 480 rpm. At the end of the music, the CD is rotating at 213 rpm.

What is the magnitude of the average angular acceleration of the disk during this playing period?

Homework Equations



σ=Δω/Δt

The Attempt at a Solution



([213-480/60]*2∏)/79*60= -.00589

Once i typed the answer, it says its wrong
It asks for magnitude ... that's not negative !
 

1. What is the formula for calculating the average angular acceleration of a CD?

The formula for calculating average angular acceleration is average angular acceleration = (final angular velocity - initial angular velocity) / time taken. In simpler terms, it is the change in angular velocity divided by the time taken for that change to occur.

2. How do you measure the angular velocity of a CD?

The angular velocity of a CD can be measured by using a device called a tachometer. This device measures the number of revolutions per unit of time and can be used to determine the angular velocity of the CD.

3. What units are used to measure angular acceleration?

Angular acceleration is typically measured in radians per second squared (rad/s2). However, it can also be measured in degrees per second squared (deg/s2).

4. Can the average angular acceleration of a CD be negative?

Yes, the average angular acceleration of a CD can be negative. This indicates that the CD is slowing down, or decelerating, during the given time period.

5. How does the average angular acceleration of a CD affect its rotational motion?

The average angular acceleration of a CD directly affects its rotational motion. A higher average angular acceleration means that the CD is experiencing a greater change in angular velocity over a given time period, resulting in faster rotational motion. On the other hand, a lower average angular acceleration means a slower change in angular velocity and slower rotational motion.

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