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A wheel is rolling forward at a constant speed of 1 meter per second . The diagr

ID: 3017587 • Letter: A

Question

A wheel is rolling forward at a constant speed of 1 meter per second . The diagram shows the wheel at t=0 seconds b. Find a formmula for the height v (measured in meters above gound) of the point marked A as a function of e. Find a fortmula for the horizontal position (tneasured in meters to the right of the point marked 0) the point marked A as a finction of t. Hint: It might help to finst find a formula for the horizontal position of the center of the uheel, then think about where the marked point will be relative to the center : A wheel is rolling forward at a constant speed of I meter per secoud. The diagram shows the wheel at t-0 seco a. Calculate when the point miarkod A will be directly above ,, center of the wheel. There are several correct answers-just find one. 0 direction of travel

Explanation / Answer

Velocity = 1 m/s

Angular velocity = v/R = 1/1.2 = 5/6 rad / sec

A has to rotate of 15° when it will be directly above centre

So time taken =( 15/360)/(5/6) = 90/(360*5) = .05 sec

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