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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?

  • physics -

    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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