A body of mass 8 kg moves in a (counterclockwise) circular path of radius 10 meters, making one revolution every 10 seconds. You may assume

Question

A body of mass 8 kg moves in a (counterclockwise) circular path of radius 10 meters, making one revolution every 10 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component. A. Compute the centripetal force acting on the body.

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Yến Oanh 5 years 2021-08-05T15:12:23+00:00 1 Answers 54 views 0

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  1. thachthao
    0
    2021-08-05T15:13:33+00:00
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    Answer:

    Centripetal force is equal to 31.55 N

    Explanation:

    We have given mass of the body m = 8 kg

    Radius of the circular path r = 10 m

    It is given that it makes 1 revolution in 10 seconds

    Distance traveled in 10 seconds is equal to d=2\pi r=2\times 3.14\times 10=62.8m

    Velocity is equal to velocity=\frac{distance}{time}=\frac{62.8}{10}=6.28m/sec

    We have to find the centripetal force

    Centripetal force is equal to F=\frac{mv^2}{r}=\frac{8\times 6.28^2}{10}=31.55N

    So centripetal force will be equal to 31.55 N

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