find the angle of banking for safe turn of radius 20m, with speed 10 metre per second (neglect friction).
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Given:
Radius of road= 20m
Velocity of car= 10m/s
To find:
Banking angle (α) for a safe turn
Solution:
Curved roads are often banked to prevent the skidding of vehicles.
In this, the outer edges of the road are curved inwards to provide the required centripetal acceleration for a safe turn.
The angle at which the outer edges are raised is called the banking angle (α).
Applying the formula,
taking g = 9.8m/s²
tanα= 100/ 196
or α= tan⁻¹ 0.51
Hence the banking angle is tan⁻¹ 0.51.
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