Concepts Of Physics MCQ Edition [Volume 1]PhysicsCircular Motion
A park has a radius of 10 m . Determine the proper angle of banking if a vehicle travels around it at an average speed of 18 km/hr .
Options
- A⁻¹ (4 )
- B⁻¹ ( 1 2 )
- C⁻¹ ( 1 4 )
- D⁻¹ ( 1 8 )
Correct answer
C. ⁻¹ ( 1 4 )
Step-by-step solution
Given radius of the park, r = 10 m Speed of the vehicle, v = 18 km/hr = 18 5 18 m/s = 5 m/s The proper angle of banking is given by the formula: = v^2 rg Taking g = 10 m/s ^2 and substituting the values: = 5^2 10 10 = 25 100 = 1 4 = ⁻¹ ( 1 4 )