Angular Velocity: Find Initial Velocity Given Acceleration & Displacement

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Homework Help Overview

The problem involves a wheel rotating with constant angular acceleration, where the angular displacement, final angular velocity, and angular acceleration are provided. The goal is to determine the initial angular velocity, but the time interval is unknown.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationships between angular velocity, angular displacement, and angular acceleration, questioning how to incorporate the unknown time into their reasoning.

Discussion Status

Some participants have suggested looking for an equation that relates the known quantities to the unknown initial velocity. There is acknowledgment of the challenge posed by the unknown time variable, and one participant has pointed out the relevance of constant acceleration in the context of the problem.

Contextual Notes

Participants are navigating the constraints of the problem, particularly the unknown time interval, while trying to apply relevant equations of motion for angular quantities.

blaze33
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Homework Statement



a wheel rotates with a constant angular acceleration pie rad/s^2. during a certain time interval its angular displacement is pie rad. at the end of the interval its angular velocity is 2pie rad/s. what is the angular velocity at the beginning of the interval?

Homework Equations



tried looking at the angular velocity/displacement/acceleraions equations but i don't know how to even begin this question.

The Attempt at a Solution



well i have to find the initial angular velocity and the time interval is also unknown.
 
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In the problem angular acceleration, angular displacement and final velocity is given. Can you find an equation which contain initial velocity, final velocity, angular acceleration and angular displacement.
 
yes but it also has time, which is uknown.
 
Lol at U of M exam questions ;). This one's simple, the key is constant acceleration.

w^2 = Wo^2 +2(alpha)(deltatheta) should do the trick ;)
 
lol jegues thanks.
hope the exam will be simpler than that haha
 

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