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17 January, 08:54

A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 28.0 m/s. With what maximum speed can it go around a curve having a radius of 73.0 m?

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  1. 17 January, 12:00
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    Given Information:

    Radius = r₁ = 150 m

    Radius = r₂ = 73 m

    Maximum speed = v₁ = 28.0 m/s

    Required Information:

    Maximum speed = v₂ = ?

    Answer:

    Maximum speed v₂ = 19.53 m/s

    Explanation:

    The maximum acceleration of the truck is

    a = v²₁/r₁

    a = 28²/150

    a = 5.226 m/s²

    Now if we change the radius to r₂ = 73 m

    Then the maximum speed of the truck is

    v₂ = √a*r₂

    v₂ = √5.226*73

    v₂ = 19.53 m/s

    So the speed of the truck is decreased when the radius of curve is decreased.
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