A ball is whirled on the end of a string in a horizontal circle of radius R at a speed v. Complete the following statement: The centripeta

Question

A ball is whirled on the end of a string in a horizontal circle of radius R at a speed v. Complete the following statement: The centripetal acceleration of the ball can be increased by a factor of 8 by ________.

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Hải Đăng 4 years 2021-08-25T17:36:07+00:00 2 Answers 49 views 0

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    0
    2021-08-25T17:37:38+00:00

    Answer:

    Explanation:

    The formula of the centripetal acceleration is given by

    a=\frac{v^{2}}{R}

    The centripetal acceleration is increased by 8 times, it means the velocity is doubled and the radius is halved.

    0
    2021-08-25T17:37:49+00:00

    Explanation:

    When an object moves in a circular path, centripetal force acts on it. The magnitude of centripetal acceleration is given by formula :

    a=\dfrac{v^2}{r}

    Here,

    v is the speed of the ball in circular path

    r is the radius of circular path

    The centripetal acceleration is inversely proportional to the radius of the circular path. To increase the centripetal acceleration by a factor of 8, the radius must decrease by a factor of 8 keeping speed constant.

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