A fan makes 3 revolutions per second. The blades are 21 inches long.

How do I find the angular velocity of a fan blade? in radians per second

There are 2pi radians per revolution

so, 3rev/s * 2pi rad/rev = 6pi rad/s

To find the angular velocity of a fan blade in radians per second, you can use the formula:

Angular velocity (ω) = 2πf

where ω is the angular velocity in radians per second, and f is the frequency of revolutions per second.

In this case, you mentioned that the fan makes 3 revolutions per second. So, you can substitute the value of f into the formula:

ω = 2π * 3

Calculating this, we get:

ω = 6π

Therefore, the angular velocity of the fan blade is 6π radians per second.