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29 May, 16:19

A parent swings a 11.5 kg

child in a circle of radius

0.711 m, making 12 revolutions

in 27.4 s. How much force does

the parent exert on the child?

(Unit = N)

+4
Answers (1)
  1. 29 May, 20:17
    0
    22.5 N

    Explanation:

    Taking towards the center to be + x, sum of forces on the child in the x direction:

    ∑F = ma

    F = m v² / r

    F = m (ωr) ² / r

    F = m ω² r

    Plugging in values:

    F = (11.5 kg) (12 rev * 2π rad/rev / 27.4 s) (0.711 m)

    F = 22.5 N
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