An 17-cm-long bicycle crank arm, with a pedal at one end, is attached to a 22-cm

Question

An 17-cm-long bicycle crank arm, with a pedal at one end, is attached to a 22-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 64 rpm to 91 rpm in 11 s. What is the tangential acceleration of the pedal? Express your answer to two significant figures and include the appropriate units. A_t = 4.4 times 10^-2 m/s^2 What length of chain passes over the top of the sprocket during this interval? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Best Answer:  dw = (2/60)*91 - (2/60)*64 = 9.5246 - 6.698 = 2.8259 rad/sec

= dw/dt = 0.2569 rad/sec²

Ap = *Rp = 0.2569*0.17 = 0.04367m/s²


= d(w²)/(2) = (9.5246² - 6.698²)/(2*0.2569) = 89.24 rad

Lc = Rc* = (0.22/2)*89.24 = 9.817 meers

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