Rotational motion: Find angular displacement when rotation speed is changing

AI Thread 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:
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top