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A ceiling fan has 5-inch blades (so the radius of the circular fan is inches). Suppose the fan turns at a rate of 2 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 inches per minute.

1 Answer

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Answer:

a) 12.56 rad per minute

b)62.8 inches per minute

Step-by-step explanation:

Given:

  • Radius of the blades, R=5 inches
  • Frequency of the blades, f=2 revolutions per minute

a)

Let
\omega be the angular velocity of the blade which is given by


\omega =2\pi f\\\omega=2* 3.14 * 2\\\omega=12.56\ \rm rad/min

b)

Let v be the linear speed of the tip of the blade which is given by


v=\omega * R\\v=12.56* 5\\v=62.8\ \rm inches/min

Hence we have calculated the angular velocity and linear speed.

User Joshua Wolff
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