A bicycle is being pedaled up a hill by a rider weighing 150 lbs. Given that the

Question

A bicycle is being pedaled up a hill by a rider weighing 150 lbs. Given that the pedal shaft is 14 inches long, find the magnitude of the torque vector about the center of the pedal axle P at the instant when the shaft makes an angle of 10 degrees with the horizontal, and the rider is standing with all his weight on the one pedal.

150 Ibs egrees A bicycle is being pedaled up a hill by a rider weighing 150 lbs. Given that the pedal shaft is 14 inches ong, find the magnitude of the torque vector about the center of the pecdal axie P at the instant wren the shaft makes an anle ol o dsgres ith the horizontel, ad the nder nch es long, find the magnitude of the torque vector about the center of the pedal axle P at the instant when the shaft makes an angle of 10 degrees with the horizontal, and the rider is standing with all his weight on the one pedal. Answer: torque Definition The torque of a force F acting to rotate a rod of length L is defined to be the product of L with the magnitude of the component of F in a direction perpendicular to the rod.

Explanation / Answer

T = rFcos(theta)

T is torque

r is radius

F is force

r = 14 inches and F = 150lbs

So T = 150.14 cos(10degrees)

=> T = 2100(0.9848) = 2068.096 lbs-inches

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