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28 August, 00:21

A gear of radius 7.2 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?

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  1. 28 August, 00:39
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    Linear velocity is given by the formula v = ωr, where ω is the angular velocity in radians, and r is the radius.

    We first solve for ω:

    11 revs/sec = (11 revs/sec) x (2πrad/rev) = 22π rad/sec.

    (note: 2πrad/rev means that there are 2π radians in one revolution)

    v = ωr; where v is in meters per second

    v = (22π rad/s) (7.2 cm) (10⁻² m/1 cm) = 4.976 m/s
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