A rear-wheel-drive race car with manual transmission system has a total \"gear\"

Question

A rear-wheel-drive race car with manual transmission system has a total "gear" ratio of 10:1 when operating in first gear. If the engine produces 300 ft lb of torque, and the rear tires are 30 inches in diameter, determine torque and attractive force at the rear tires. Assume the normal force and friction coefficient are sufficient to provide for the calculated attractive force. Do not attempt to solve for the normal force. Provide your answer by adding forces and torque to the image shown below to create a valid free-body diagram of the wheel and tire.

Explanation / Answer

Gear ratio is 10

Mo = Mi r * e

Mo - ouput torque

Mi - input torque

r - gear ratio

e- gear efficiency , we assume e=1 it is not given

out torque = 300*10 = 3000 lb-ft

Tire dia = 30 inch

radius = 15 in = 5/4 ft

Foce (tractive) = 3000 *(4/5) = 2400 lb

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