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}*2\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*0.3 \\ =25.12\text{ m/s} \end{gathered}`

Thus, the speed is 25.12 m/s