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14 August, 11:22

An athlete in a gym applies a constant force of 50 N to the pedals of a bicycle to keep the rotation rate of the wheel at 10 rev/s. The length of the pedal arms is 30 cm. What is the power delivered to the bicycle by the athlete?

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  1. 14 August, 14:44
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    Given that,

    Force applied to pedal F = 50N

    Angular velocity ω = 10rev/s

    We know that, 1rev = 2πrad

    Then, ω = 10rev/s = 10*2π rad/s

    ω = 20π rad/s

    Length of pedal r = 30cm = 0.3m

    Power?

    Power is given as

    P = τ*ω

    We need to find the torque τ

    τ = r * F

    Since r is perpendicular to F

    Then, τ = 0.3 * 50

    τ = 15 Nm

    Then,

    P = τ*ω

    P = 15 * 20π

    P = 942.48 Watts

    power delivered to the bicycle by the athlete is 942.48 W
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