How Fast Does a Car Tire Spin?

Problema e solução em inglês, como no livro original.

Calculate the angular speed of a 0.300 m radius car tire when the car travels at 15.0 m/s (about 54 km/h). See Figure 6.5.

Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.

Estratégia
In this case, the speed of the tire tread with respect to the tire axle is the same as the speed of the car with respect to the road, so we have v = 15.0 m/s. The radius of the tire is r = 0.300 m. Since we know v and r, we can rearrange the equation $v = r ω$ , to get $ω = \frac{v}{r}$ and find the angular speed.
Solução
To find the angular speed, we use the relationship: $ω = \frac{v}{r}$ .

Inserting the known quantities gives

$\begin{matrix} ω & = & \frac{15.0 m/s}{0.300 m} \\ = & 50.0 rad/s. \end{matrix}$
6.7

0 de 2 passos abertos

Como foi?