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.
A)0.3 m/s
B)2 m/s
C)3 m/s
D)9 m/s
E)12 m/s

Question

Quizplus · Accepted Answer

We can use the formula for tangential speed:

v = r * w

where v is tangential speed, r is radius, and w is angular speed.

We know that a point 0.2 m from the center of the wheel has a tangential speed of 2 m/s, so we can plug in these values and solve for w:

2 = 0.2 * w

w = 10 radians/s

Now we can use this value of w to find the tangential speed of a point 0.3 m from the center:

v = 0.3 * 10 = 3 m/s

Therefore, the answer is choice (C), 3 m/s.

A Wheel of Radius 0