A fan blade, whose diameter is 1.0 m, is turning with an angular velocity of 2.0 rad/s. What is the tangential velocity of a point on the tip of the blade?
A) 1.5 m/s
B) 2.0 m/s
C) 5.0 cm/s
D) 0.50 m/s
E) 1.0 m/s

Question

Quizplus · Accepted Answer

The tangential velocity $v$ of a point on the circumference of a circle (in this case, the tip of the fan blade) can be calculated using the formula $v = r\omega$, where $r$ is the radius of the circle and $\omega$ is the angular velocity. Given the diameter of the fan blade is 1.0 m, the radius $r$ is 0.5 m. With an angular velocity $\omega$ of 2.0 rad/s, the tangential velocity is $v = 0.5 m \times 2.0 rad/s = 1.0 m/s$.

A Fan Blade, Whose Diameter Is 1