Question

the wheel of a car has radius of 0.30 m and rotates at 800 revolutions per minute. determine the speed at which a point on the outer edge of the wheel is moving.

Answer 1

Given the radius of a wheel, r = 0.3 m, and the angular velocity of a wheel,

$\begin{gathered} \omega=800\text{ rpm} \\ =\frac{800\text{rpm}\times2\pi\text{ rad/rev}}{60\text{ second/minute}} \\ =83.73\text{ rad/s} \end{gathered}$

The linear speed,

$v=\omega r$

Substituting the values, we get

$\begin{gathered} v=83.73\times0.3 \\ =25.12\text{ m/s} \end{gathered}$

Thus, the speed is 25.12 m/s