Question

A ceiling fan has
17
-inch blades (so the radius of the circular fan is
17
inches). Suppose the linear speed of the tip of a blade is
9
feet per second.
(a) Find the angular speed of the fan in radians per minute.
(b) Find the number of revolutions a blade makes per minute.

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

Answer 1

@Brrandyn @Compassionate

Answer 2

i don't know if its 17 or 3 for a and 61 or 249 for b or if I'm totally wrong...

Answer 3

I've drawn the given scenario (basic model): Provided that the linear speed (of the blade "tip") is 9, use the two following equations to find the solution.
Angular Velocity: \[\omega =\frac{ \theta }{ t }\]
Linear Velocity: \[\ V=\frac{ \ r*θ }{t}\]
b. Replace "V" with provided value and solve.
\[V=\frac{ 17*(9*2\pi)}{1s}=480 ft/sec\]

Gosh, I'm sorry for the slow response time, drawing panel refuses to close and unable to type anything when using the equation window! Very infuriating, haha.

Answer 4

Try solving for the angular velocity (: .