college

A ceiling fan has
15
-inch blades (so the radius of the circular fan is
15
inches). Suppose the fan turns at a rate of
60
revolutions per minute.
(a) Find the angular speed of the fan in radians per minute.
(b) Find the linear speed of the tip of a blade in feet per second.

Do not round any intermediate computations, and round your answer to the nearest whole number.

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  1. A ceiling fan has
    15
    -inch blades (so the radius of the circular fan is
    15
    inches). Suppose the fan turns at a rate of
    60
    revolutions per minute.
    (a) Find the angular speed of the fan in radians per minute.
    (b) Find the linear speed of the tip of a blade in feet per second.

    1. 👍
    2. 👎
  2. 60 rev/min * 2π rad/rev = 120π rad/min

    the linear speed is just radius * angular speed

    120π/min * 15in * 1ft/12in * 1min/60s = (120π*15)/(12*60) ft/s

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