Two wheels roll side-by-side without sliding, at the same speed.The radius of wheel 2 is twice the radius of wheel 1.The angular velocity of wheel 2 is:
A)twice the angular velocity of wheel 1
B)the same as the angular velocity of wheel 1
C)half the angular velocity of wheel 1
D)more than twice the angular velocity of wheel 1
E)less than half the angular velocity of wheel 1

Question

Quizplus · Accepted Answer

Since both wheels roll without sliding at the same speed, the wheel with the larger radius (wheel 2) will have a lower angular velocity. This is because angular velocity ($\omega$) is related to linear velocity ($v$) and radius ($r$) by the equation $\omega = \frac{v}{r}$. Therefore, if the radius of wheel 2 is twice that of wheel 1, its angular velocity will be half.

Two Wheels Roll Side-By-Side Without Sliding, at the Same Speed