A scooter has wheels with a diameter of 120 mm. What is the angular speed of the wheels when the scooter is moving forward at 6.00 m/s?
A) 100 rpm
B) 955 rpm
C) 50.0 rpm
D) 47.7 rpm
E) 72.0 rpm

Question

Quizplus · Accepted Answer

The angular speed, $\omega$, can be calculated using the formula $\omega = v/r$, where $v$ is the linear speed and $r$ is the radius of the wheel. Given the diameter is 120 mm, the radius $r = 60$ mm or $0.06$ m. With $v = 6.00$ m/s, $\omega = 6.00 / 0.06 = 100$ rad/s. To convert to rpm, use the conversion factor $1 \text{ rad/s} = 9.55 \text{ rpm}$, thus $100 \text{ rad/s} = 955$ rpm.

A Scooter Has Wheels with a Diameter of 120 Mm