Answer:
About 126 ft/min
Step-by-step explanation:
We know r = 2 feet, and that the wheel has an angular speed of 10 rpms, or 10 revolutions per minute. Our goal is to get the speed in ft/sec.
10 rev 1 minute 2π radians 2 feet
----------- × ---------------- × ------------------ × ------------
1 minute 60 seconds 1 revolution 1 radian
= 10 * 2π * 2 = 126 ft/minute
The answer is reasonable. Another, simple approach to this would be using the formula 2π * r * rpm. If so, 2π * 2 * 10 which would be 126 ft/minute.
