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Question: A circular track or radius 100 m is designed for an average speed 54 km/h. Find the angle of banking...

A circular track or radius 100 m is designed for an average speed 54 km/h. Find the angle of banking.

A

tan-1(3/20)

B

tan-1(9/40)

C

tan-1(3/10)

D

none of these

Answer

tan-1(9/40)

Explanation

Solution

tan θ = v2rg=15×15100×10=940\frac{v^{2}}{rg} = \frac{15 \times 15}{100 \times 10} = \frac{9}{40}.

θ = tan-1(940)\left( \frac{9}{40} \right)