Calculating the Average Angular Acceleration of a CD

Click For Summary
SUMMARY

The discussion focuses on calculating the average angular acceleration of a compact disk (CD) with a diameter of 12 cm, which rotates from 480 rpm to 213 rpm over a playing time of 79 minutes. The formula used for angular acceleration is σ = Δω/Δt. The incorrect calculation provided resulted in a negative value of -0.00589, which is not acceptable as the problem specifically asks for the magnitude of the average angular acceleration, necessitating a positive value.

PREREQUISITES
  • Understanding of angular velocity and its units (rpm)
  • Familiarity with the concept of angular acceleration
  • Knowledge of basic physics equations involving rotational motion
  • Ability to convert between different units of measurement (e.g., rpm to radians per second)
NEXT STEPS
  • Learn how to convert rpm to radians per second for accurate calculations
  • Study the concept of angular acceleration in rotational dynamics
  • Practice solving problems involving varying angular velocities
  • Explore the implications of negative versus positive values in physics calculations
USEFUL FOR

Students studying physics, particularly those focusing on rotational motion, as well as educators looking for examples of angular acceleration calculations.

SalsaOnMyTaco
Messages
32
Reaction score
0

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
 
Physics news on Phys.org
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 !
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
14K