Question

question 22
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 tangential speed of a point 0.3 m from the center of the wheel.
3 m/s
0.3 m/s
12 m/s
2 m/s
9 m/s

Explanation:

Step1: Find angular speed

$\omega = \frac{v_1}{r_1} = \frac{2\,\text{m/s}}{0.2\,\text{m}} = 10\,\text{rad/s}$

Step2: Calculate tangential speed

$v_2 = \omega r_2 = 10\,\text{rad/s} \times 0.3\,\text{m} = 3\,\text{m/s}$

Answer:

3 m/s