Question

question 21
problem reference 8 - 4
a wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center. a point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s.
determine the angular speed of the wheel.
4.0 rad/s
10 rad/s
20 rad/s
0.4 rad/s
2.0 rad/s

Explanation:

Step1: Recall tangential speed formula

Tangential speed $v = r\omega$, so $\omega = \frac{v}{r}$

Step2: Substitute values

$v = 2\ \text{m/s}$, $r = 0.2\ \text{m}$
$\omega = \frac{2}{0.2} = 10\ \text{rad/s}$

Answer:

B. 10 rad/s