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10 August, 19:44

Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an orangutan has arms that are 0.90 m long and repeatedly swings to a 20° angle, taking one swing immediately after another, estimate how fast it is moving in m/s.

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  1. 10 August, 20:00
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    how fast it is moving in m/s? 0.65 m/s.

    Explanation:

    given information:

    the length of the arm, L - 0.9 m

    angle, θ = 20°

    First we calculate the distance in horizontal motion

    s = 2 L sin θ

    = 2 (0.9) sin 20°

    = 0.62 m

    now calculate the time

    t/2 = 2π√ (L/g)

    t = π√ (0.9/9.8)

    = 0.95 s

    the speed is

    v = s/t

    = 0.62/0.95

    = 0.65 m/s
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