The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wh

Question

The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150m and takes approximately 30 minutes to make a full circle. Determine the speed of the riders (in m/s) on the Singapore Flyer.

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Tài Đức 5 years 2021-08-28T22:28:50+00:00 1 Answers 291 views 0

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  1. thanhha
    0
    2021-08-28T22:30:29+00:00
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    Answer:

    The speed of the riders on the Singapore Flyer is approximately 0.262 m/s

    Explanation:

    The dimensions of the tallest Ferris wheel in the world are;

    The diameter of the Ferris wheel, D = 150 m

    The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds

    The angular velocity of the Ferris wheel, ω = 2·π/T

    The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders

    Where;

    r = The radius of the Ferris wheel = D/2

    D = 150 m

    ∴ r = 150 m/2 = 75 m

    ∴ v = r·2·π/T

    ∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s

    The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s

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