Rotational motion: Find angular displacement when rotation speed is changing

Click For Summary
The discussion focuses on calculating the angular displacement of a wheel experiencing a change in rotational speed due to torque. The initial angular speed is 19.8 rad/s, increasing to 23.5 rad/s over 11.2 seconds. Participants emphasize the need to incorporate angular acceleration into the calculations, as the initial attempt incorrectly calculated acceleration instead of displacement. Relevant equations for angular motion, similar to kinematic equations, are suggested to determine the angle turned during this time. Properly applying these equations is crucial for finding the correct angular displacement.
mememe1245
Messages
14
Reaction score
0

Homework Statement



A torque acts on a wheel rotating at 19.8 rad/s and increases its angular speed to 23.5 rad/s in 11.2 s. Find the angle through which the wheel turns during this time.

Homework Equations


omega = theta/time

The Attempt at a Solution


23.5 - 19.8/11.2 = .33rad/s/s --- this is wrong.
 
Physics news on Phys.org
Your thread title is non-descriptive of the thread content. I will change it this time.

Clearly the problem involves a change in rotation speed, so an angular acceleration is involved. You haven't presented any Relevant Equations involving acceleration.

Can you explain your attempt at solution? Use symbols rather than numbers.
 
mememe1245 said:

Homework Statement



A torque acts on a wheel rotating at 19.8 rad/s and increases its angular speed to 23.5 rad/s in 11.2 s. Find the angle through which the wheel turns during this time.

Homework Equations


omega = theta/time

The Attempt at a Solution


23.5 - 19.8/11.2 = .33rad/s/s --- this is wrong.

The problem clearly states, "Find the angle ..." Is 0.33 rad/s/s how you measure an angle?

Review your equations for angular motion. There should be one which gives you the angular displacement if you know: the time, the angular velocity, and the angular acceleration.
 
You found out the angular acceleration...NOT the angle present.

Try using proper required equations to find out the angle displaced

(Hint:- kinematic equations and equations for circular motions are pretty much the same
 
Last edited by a moderator:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
67
Views
4K
Replies
54
Views
4K
Replies
5
Views
1K
Replies
7
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 19 ·
Replies
19
Views
2K