Constant angular acceleration problem

Click For Summary
SUMMARY

The problem involves calculating the constant angular acceleration of a centrifuge that operates at 3600 rpm and completes 72 rotations before reaching its operational speed. To solve this, the angular speed must first be converted from rpm to radians per second, resulting in an angular speed of 376.99 rad/s. The formula for angular acceleration, α, can be derived from the relationship between angular displacement and angular speed, allowing for the calculation of α without needing the time variable directly.

PREREQUISITES
  • Understanding of angular motion concepts
  • Familiarity with the conversion of rpm to radians per second
  • Knowledge of kinematic equations for rotational motion
  • Basic algebra for solving equations
NEXT STEPS
  • Learn how to convert angular speed from rpm to rad/s
  • Study kinematic equations for rotational motion
  • Explore the relationship between angular displacement and angular acceleration
  • Practice problems involving constant angular acceleration
USEFUL FOR

Physics students, engineers, and anyone interested in understanding rotational dynamics and angular acceleration calculations.

Paulhaley2000
Messages
1
Reaction score
0
Ok so here is the problem

A centrifuge operates at 3600 rpm. When switched on it rotates 72 times before reaching operational angular speed. Find the constant angular acceleration while its speeding up.

Ok so I already know I needed to convert rpm to rad/sec which I did. I'm stuck here because the formula I have for ang acc is (Change in W)/ time. But I don't know time or ang acc. Thanks for the help btw
 
Physics news on Phys.org
You don't know the time, but you do know the "distance". The solution is analogous to linear motion in 1 dimension.
 

Similar threads

Solve Angular Velocity & Acceleration - Dimensional Analysis
  • · Replies 3 ·
Replies
3
Views
2K
Centripetal Acceleration while Swinging a Stone on a String
  • · Replies 9 ·
Replies
9
Views
2K
Angular Momentum Problem: Mouse walking on a rotating turntable
  • · Replies 5 ·
Replies
5
Views
2K
Angular velocity and angular acceleration of a turbine
  • · Replies 17 ·
Replies
17
Views
3K
Angular Acceleration Homework: 962 Revolutions in 10 Secs
  • · Replies 1 ·
Replies
1
Views
4K
Conservation of Angular Momentum -- Child jumping onto a Merry-Go-Round
  • · Replies 18 ·
Replies
18
Views
7K
Finding Angular Velocity in Rotational Motion Problems
  • · Replies 5 ·
Replies
5
Views
2K
Magnitude of Acceleration on Merry-Go-Round
  • · Replies 2 ·
Replies
2
Views
2K
Rotation w/constant angular acceleration
  • · Replies 2 ·
Replies
2
Views
3K
Riding a bicycle around a tree w/ constant acceleration
  • · Replies 20 ·
Replies
20
Views
3K