A highway curve of radius 100 m,banked at an angle of 45°,may be negotiated without friction at a speed of
A)22 m/s.
B)31 m/s.
C)44 m/s.
D)67 m/s.

Question

Quizplus · Accepted Answer

The speed at which a vehicle can negotiate a banked curve without friction is given by the formula v = √(rg tan θ), where r is the radius, g is the acceleration due to gravity (approximately 9.8 m/s²), and θ is the banking angle. Substituting the given values, v = √(100 * 9.8 * tan 45°) = √(980) ≈ 31 m/s.

A Highway Curve of Radius 100 M,banked at an Angle