Question

A car can take a turn of radius 30.0 m with a speed of 20.0 m/s without skidding. At what speed can it take a turn of radius 60.0 m without skidding? Show work

Answer 1

Max speed that a car can have on a turn without skidding is given by:

V_max = sqrt (*g*R)

Since and g are constant, So speed of car is proportional to the square root of radius of turn

V2/V1 = sqrt (R2/R1)

V2 = 20.0*sqrt (60.0/30.0)

V2 = 28.28 m/sec

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