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A bicyclist is riding a bicycle on a flat road. (Figure 2) The combined mass of

ID: 1901093 • Letter: A

Question

A bicyclist is riding a bicycle on a flat road. (Figure 2) The combined mass of the bicyclist and bicycle is = 110 , the radius of each wheel is = 32.5 , and the coefficient of rolling resistance between the tires and the road is = 0.170 . The pedaling power of the bicyclist is translated to the back wheel through the tension in the chain that is wrapped around a set of gears. What is , the tension in the chain that allows the bicycle to maintain a constant velocity when the chain is on the gear with a radius = 3.75 ? Consider the combined weight to be evenly distributed between the two wheels.

Express your answer to three significant figures and include the appropriate units.








=



Explanation / Answer

f = N/2 = M g/2 = 0.170 * (110)*9.8/2 = 91.63 N

2 * r1 f = r2 T

2 * 32.5 * 91.63 = 3.75 * T

T = 1.59E3 N

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