Rotational Motion About a Fixed Axis , NEED HELp :\

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Homework Help Overview

The problem involves a wheel rolling without slipping, with specific parameters such as diameter and tangential speed. The original poster seeks to determine the speed of the axle and the angular speed of the wheel, indicating a focus on rotational motion concepts.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to identify relevant equations for calculating the speed of the axle and the angular speed of the wheel. Some participants question the calculations provided and suggest alternative methods for determining angular speed based on different reference points.

Discussion Status

The discussion includes attempts to verify calculations and clarify concepts related to angular speed and reference points. While some participants express confidence in certain values, there is no explicit consensus on the correctness of the angular speed calculation, indicating ongoing exploration of the problem.

Contextual Notes

Participants are discussing the implications of different reference points for calculating angular speed and the relationship between linear and angular velocities. There is an indication of confusion regarding the correct approach to the problem.

keylostman
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Homework Statement



A wheel of diameter of .68m roll without slipping. A point at the top of the wheel moves witha tangential speed of 5.4m/s. Whaat speed is the axle of the wheel moving? What is the angular speed of the wheel?

How would i approach to do this problem, what equations would i need to use ?
 
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ok for speed of axle i took .5 * 5.4 to get 2.7m/s

and for angular speed of wheel i took 5.4mn/s * .34m to get 15.9 rad/s

am i correct ?
 
Hi keylostman!

Are you the same person as th3plan?

Why have you posted the same problem twice?

Your speed is right, but your angular speed is not.

Angular speed = speed/radius, where speed means speed relative to the centre.

You can either take the centre to be the axle - so the radius is .34, but you have to subtract the axle speed - or you can take the centre to be the (stationary) point of contact - so the radius is .68.
 
so i take 5.4-2.7 ti get 2.7 m/s and multiply by .34m the radius to get .918 rad/s ?
 

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