A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm). a) Find the linear speed of the ti

Question

A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm).
a) Find the linear speed of the tire in inches per minute.
b) Find the angular speed of the tire in radians per minute.

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Hồng Cúc 5 years 2021-08-21T03:42:05+00:00 1 Answers 9 views 0

Answers ( )

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    2021-08-21T03:43:14+00:00

    Answer: (a)942.85 rad/s

    (b) 15,085.71 inches per minute

    Step-by-step explanation:

    Given

    the radius of tire r=16 inches

    N=150 revolution per minute(rpm)

    So, the angular speed of the tire  \omega=2\pi N=2\times \frac{22}{7}\times 150=942.85\ rad/minute

    The linear speed of the tire v=\omega r

    v=\dfrac{6600}{7}\times 16=15,085.71\ \text{inches per minute}

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