Concepts Of Physics MCQ Edition [Volume 1]PhysicsCircular Motion

A circular road with a radius of 50 m has a banking angle of 30^ . Determine the speed at which a vehicle should travel on this road such that friction is not utilized.

Options

A17 m/s
B22 m/s
C29 m/s
D12 m/s

Correct answer

A. 17 m/s

Step-by-step solution

For a vehicle to travel on a banked road without utilizing friction, the required speed is given by the formula: v = R g Given: R = 50 m = 30^ Taking g = 10 m/s ^2 Substituting the values into the formula: v = 50 10 30^ v = 500 1 3 v = 500 1.732 v 17 m/s

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