Question

a curve of radius 50 m is to be banked, so that the automobile may make a turn at a speed of 15 m/s without depending on friction. at what angle should the road be banked?
Formula: tanØ=v^2/gr

Given:
radius=50m
Velocity=15m/s

Required:Ø

Solution:

tanØ= (15m/s)^2/ (9.8m/s)(50m)
Ø= arctan(15m/s)^2/(9.8m/s)(50m)
Ø=arctan(45/98)
Ø=24°40"

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