Solve the problem.
-A wheel is rotating at 4 radians/sec, and the wheel has a 100-inch diameter. To the nearest foot per minute, what is the velocity of a point on the rim?
A) 990 ft/min
B) 995 ft/min
C) 1005 ft/min
D) 1000 ft/min

Question

Quizplus · Accepted Answer

The velocity $v$ of a point on the rim of a rotating wheel can be found using the formula $v = r\omega$, where $r$ is the radius of the wheel and $\omega$ is the angular velocity in radians per second. Given the diameter of the wheel is 100 inches, the radius $r$ is $50$ inches. Converting the radius to feet, we get $r = \frac{50}{12}$ feet. Given $\omega = 4$ radians/sec, the velocity in feet per second is $v = \frac{50}{12} \times 4$. To convert this to feet per minute, multiply by 60, resulting in $v = \frac{50}{12} \times 4 \times 60 = 1000$ feet per minute.

Solve the Problem. -A Wheel Is Rotating at 4 Radians/sec, and the Wheel