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On a hot day you turn on a small fan to help you cool off. The tip on one of the

ID: 2231201 • Letter: O

Question

On a hot day you turn on a small fan to help you cool off. The tip on
one of the blades of the fan might go through 1.25 revolutions at an
average angular speed of 7.85 rad/s.
We are going to find how long it takes for the fan to rotate 1.25
revolutions.
a) Draw a picture! Indicate the direction of motion.
b) What angular displacement, (theta), in radians, does 1.25 revolutions
correspond to?
c) Write down the definition of angular velocity (w). What are the units?
d) Now when you have the (theta) and w find the time it takes the fan to rotate
1.25 revolutions.

Explanation / Answer

b) (1.25 imes 2pi = 2.5pi^c) c) (omega =) number of radians of rotation/s = rad/s d) ( heta/omega = 1)rad/s

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