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11 April, 03:56

a ball on a string makes 25.0 revolutions in 9.37s, in a circle of radius 0.450m. what is its velocity? (unit=m/s)

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  1. 11 April, 07:30
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    v = 7.54m/s

    Explanation:

    Okay, so we can first start of by finding the period. The equation for period is:

    T = seconds / cycle. WE know in 9.37s, it does 25 revolutions (cycles), so we can find the period:

    T = seconds / cycle

    T = 9.37s / 25

    0.3748 = T. We will use this as our time.

    We then need to find the velocity, so we use the formula for velocity:

    v = d/t. But d is the circumferance as its circular motion (circle).

    so circumferance is 2πr. We know everything, and now we solve for velocity:

    v = d/t

    v = 2πr / t

    v = 2π*0.450 / 0.3748

    v = 7.54m/s
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