Question #36879

A rear wheel drive car of mass 1300kg has a rolling resistance of 150 N, a frontal area of 1.6m2, a drag coefficient of 0.30, a transmission loss of 17% and a maximum engine power of 50kW. Assuming that the traction limit for each tyre is equal to the weight that it carries (i.e. the tyre traction coefficient =1) and that 60% of the vehicle weight is on the rear wheels during acceleration,
a) What is the maximum power available at the back wheels?
b) What is its theoretical maximum speed in mph on a level road?
c) What is its theoretical maximum speed in mph up a 1 in 7 hill?
d) What is the maximum tractive force that each of the rear tyres could provide under acceleration before slipping occurs? (NB this is per rear wheel not per axle!!)
e) What would be the maximum, useable, tractive force at each of the rear tyres if full power was applied at 30 mph? (hint: is this limited by tyre grip or by engine power?)
f) What would be the wind resistance at 30 mph?
g) What would be the acceleration (in mph/s) at 30

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