A toy car of mass 2.0kg is made to move in a circular track of radius 10.0m. If the centripetal force is 800.0N, calculate the angular veloc

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A toy car of mass 2.0kg is made to move in a circular track of radius 10.0m. If the centripetal force is 800.0N, calculate the angular velocity of the car​

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Tài Đức 5 months 2021-08-23T10:52:34+00:00 1 Answers 5 views 0

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    2021-08-23T10:53:51+00:00

    Answer:

    w = 6.325 rad/s

    Explanation:

    Given the following data;

    Mass = 2kg

    Radius, r = 10m

    Centripetal force = 800N

    To find the angular velocity of the car;

    First of all, we would use the following formula to solve for the speed of the car;

    Centripetal force = mv²/r

    800 = 2*v²/10

    Cross-multiplying, we have;

    8000 = 2v²

    4000 = v²

    Taking the square root of both sides, we have;

    v = √4000

    v = 63.25 m/s

    Next, we find the angular velocity, w using the formula below;

    w = v/r

    w = 63.25/10

    w = 6.325 rad/s

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