What is the average angular deceleration of the rear wheel?

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SUMMARY

The average angular deceleration of a cyclist's rear wheel can be calculated using the formula for linear acceleration and the relationship between linear and angular motion. Given a cyclist traveling at 8.8725 m/s who comes to a halt over a distance of 100 meters, the linear deceleration is -0.393 m/s². With a wheel diameter of 650 mm, the radius is 0.325 m, leading to an average angular deceleration of -1.21 rad/s², calculated using the formula α = a/r.

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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
 
Physics news on Phys.org
.393 is acceleration not angular acceleration

angular acceleration, α = a/r
 

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