Question

A race car track has been constructed with the a bank angle of 32.7° so there is no friction force. The race car track has a curve radius of 394 m. What speeds, for the race cars, has the track been designed to accommodate?
gravity force down slope = m(acceleration down slope)

m g sin 37.5 =(m v^2/r) cos 37.5

g tan 37.5 = v^2/r
v^2 = r g tan 37.5 = 394*9.81 tan 37.5

v = 54.5 m/s

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