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# A Park Has a Radius of 10 M. If a Vehicle Goes Round It at an Average Speed of 18 Km/Hr, What Should Be the Proper Angle of Banking? - Physics

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ConceptExamples of Circular Motion (Vehicle on a Level Circular Road, Vehicle on a Banked Road)

#### Question

A park has a radius of 10 m. If a vehicle goes round it at an average speed of 18 km/hr, what should be the proper angle of banking?

#### Solution

Given:
Speed of the vehicle = v = 18 km/h = 5 m/s
Radius of the park = r = 10 m
Let the angle of banking be $\theta$

Thus, we have : $\tan\theta = \frac{\text{v}^2}{\text{rg}}$

$\Rightarrow \theta = \tan^{- 1} \left( \frac{25}{100} \right)$

$\Rightarrow \theta = \tan^{- 1} \left( \frac{1}{4} \right)$

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#### APPEARS IN

Solution A Park Has a Radius of 10 M. If a Vehicle Goes Round It at an Average Speed of 18 Km/Hr, What Should Be the Proper Angle of Banking? Concept: Examples of Circular Motion (Vehicle on a Level Circular Road, Vehicle on a Banked Road).
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