angular speed .

Question

a fan turns at the rate of 950 revolutions per minute. Find the angular speed of any point on one of the fan blades. Use 3.14 as an approximation for pi. Express your answer in radians per second and round to the nearest tenth.

Answer 1

Hi Dakota,

This is really just a unit conversion problem. We need to convert 950 rev/min to rad/s.

First, lets convert the revolutions to radians using the fact that 2pi radians = 1 rev.

Then convert the minutes to seconds using the fact that 1 min = 60 sec.

(950 rev/min)(2 pi rad/1 rev)(1 min/60 sec) - revs and mins will cancel

950 * 2(3.14) / 60 = 99.4 rad/s

Hope this helps! :)