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physics

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A pulley rotating in the counterclockwise direction is attached to a mass suspended from a string. The mass causes the pulley's angular velocity to decrease with a constant angular acceleration α = -2.2 rad/s2. If the pulley's initial angular velocity is ω = 5.37 rad/s, how long does it take before the angular velocity of the pulley is equal to -3.5 rad/s?

  • physics -

    This is a basic rotational kinematics equation.
    w= w initial +at
    -3.5 rad/s = 5.37rad/s + (-2.2rad/s2)t
    -8.87rad/s = (-2.2rad/s2) t
    t = 4.03 sec

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