QUESTION 8 The gear ratio of an engine in third gear is 4.4 and the differential

Question

QUESTION 8 The gear ratio of an engine in third gear is 4.4 and the differential ratio is 1.6. What is the total gear ratio, from engine to wheels, assuming only considering these two gear sets? Answer tolerance ±2% QUESTION 9 If the total gear ratio from engine to wheels in a car is 4.4, and the engine gear speed is operating at 2,355 rpm, what is the linear speed in mph of a wheel that measures 28.1 inch in diameter? Answer tolerance ±2% QUESTION 10 The output torque of an engine is 405 lb-ft. If the power output of the engine is 201, what is the rotational speed of the engine in rpm?

Explanation / Answer

Question 8.

Given, gear ratioo from engine to gear box r1 = 4.4

differential ratio, r2 = 1.6

then total gear ratio from engine to wheel = r1*r2 = 7.04

9. given total ratio from engine to wheels, r = 4.4

rpm of engine W1 = 2355 rpm

wheel radius, R = 28.1 in = 0.71374 m

so final rotatinoal speed of wheel, W2 = W1*r

final linear speede v= W2*R = 2355*4.4*2*pi*0.71374/60 = 774.4836 m/s = 1732.4704724 miles per hour

10. output torque of engine, T = 405 lb-ft

power output of engine, P = 201

rotational speed of the engine = w

then

P = Tw

w = P/T = 0.49629 rad/s = 4.7392 rpm

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