Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# If the Horizontal Force Needed for the Turn in the Previous Problem is to Be Supplied by the Normal Force by the Road, What Should Be the Proper Angle of Banking? - Physics

Sum

If the horizontal force needed for the turn in the previous problem is to be supplied by the normal force by the road, what should be the proper angle of banking?

#### Solution

Given:
Speed of the scooter = v = 36 km/hr = 10 m/s
Radius of turn = r = 30 m
Let the angle of banking be $\theta$

We have :

$\tan\theta = \frac{\text{v}^2}{\text{rg}}$

$\Rightarrow \tan\theta = \frac{100}{30 \times 10} = \frac{1}{3}$

$\Rightarrow \theta = \tan^{- 1} \left( \frac{1}{3} \right)$

Concept: Examples of Circular Motion (Vehicle on a Level Circular Road, Vehicle on a Banked Road)
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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 7 Circular Motion
Q 5 | Page 114