Angular acceleration of a wheel formula

  • #1

Homework Statement



What is the formula for angular acceleration, when the wheel's diameter, speed, acceleration and distance are known.

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
37
0
The hard part is realizing that the speed the wheel is moving at (I'm assuming it's a wheel attached to a moving body like a car driving on the road) is equal to the tangential speed of a particle on the end of the wheel. Same can be said about acceleration.

So, then you simply convert between tangential and angular values, you said diameter is known, so these are given in terms of diameter d (with d=2r) as
[tex]\alpha=\frac{2a_{t}}{d}[/tex], [tex]\omega=\frac{2v_{t}}{d}[/tex]
 
  • #3
berkeman
Mentor
60,596
10,909

Homework Statement



What is the formula for angular acceleration, when the wheel's diameter, speed, acceleration and distance are known.

Homework Equations





The Attempt at a Solution


Welcome to the PF.

You are asking for an equation for acceleration, when the acceleration is known?
 

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