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.

Respuesta :

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

[tex]\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}[/tex]

The linear speed,

[tex]v=\omega r[/tex]

Substituting the values, we get

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

Thus, the speed is 25.12 m/s