A ceiling fan rotates at the rate of 45 degrees every 0.75 s. What is the angular speed of the fan in radians per second?

Question

A ceiling fan rotates at the rate of 45 degrees every 0.75 s. What is the angular speed of the fan in radians per second?

Answer 1

You are trying to find constant ω = Δθ/Δt

You need to find the change in the angle in radians plug into the equation.

90° (2π rads/ 360°) = Δθ

Answer 2

ω = 45·(ƒ2π/360)π/0.75 = π/3 rad/s = 1.0472 rad/s