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A drum rotates at 200 r/min. Calculate its angular velocity in rad/s and the brake torque transmitted if the power is X watts.

Physics

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Step-by-step solution

2 steps
  1. Calculate the angular velocity of the drum.

    The drum rotates at N=200N = 200 r/min.
    The angular velocity ω\omega in rad/s is is given by:

    ω=2πN60\omega = \frac{2 \pi N}{60} ω=2π×20060=400π60=20π3 rad/s\omega = \frac{2 \pi \times 200}{60} = \frac{400 \pi}{60} = \frac{20 \pi}{3} \text{ rad/s} ω≈20.94395 rad/s\omega \approx 20.94395 \text{ rad/s}

    2.1 Brake torque transmitted

  2. Calculate the brake torque transmitted.

    The power

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