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8 August, 06:05

g If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed in (m/s) to take a 110 m radius curve banked at 15°.

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  1. 8 August, 10:04
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    Speed; v = 17 m/s

    Explanation:

    We are given;

    Radius; r = 110m

    Angle; θ = 15°

    Now, we know that in circular motion,

    v² = rg•tanθ

    Thus,

    v = √ (rg•tanθ)

    Where,

    v is velocity

    r is radius

    g is acceleration due to gravity

    θ is the angle

    Thus,

    v = √ (rg•tanθ) = √ (110 x 9.8•tan15)

    v = √ (288.85)

    v = 17 m/s
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