What is the average angular deceleration of the rear wheel?

Thread starter johnojohno
Start date Mar 21, 2011
Tags

Angular Deceleration

AI Thread Summary

To calculate the average angular deceleration of a cyclist's rear wheel, the cyclist slows from 8.8725 m/s to a stop over 100 meters. Using the formula for linear acceleration, the deceleration is found to be -0.393 m/s². To convert this to angular deceleration, the formula α = a/r is applied, where r is the radius of the wheel. Given the wheel's diameter of 650 mm, the radius is 0.325 m. The discussion focuses on correctly deriving the angular deceleration from the linear deceleration using the wheel's dimensions.

Mar 21, 2011

johnojohno

Homework Statement

A cyclist traveling at 8.8725 mps, brakes coming to a halt in 100m, what is the average angular deceleration of the rear wheel. The diameter of the wheel is 650mm

The Attempt at a Solution

(v² - u²)/2s = a

(0-8.8725²)/2x100 = -0.393 mps

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Mar 21, 2011

cupid.callin

.393 is acceleration not angular acceleration

angular acceleration, α = a/r

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