A wheel with radius r rotates at 6 rpm. Find v if ft. Round to the nearest foot per minute.
A)135 ft/min
B)151 ft/min
C)185 ft/min
D)82 ft/min
E)63 ft/min

Question

A wheel with radius r rotates at 6 rpm.  Find v if  ft.  Round to the nearest foot per minute. ​
A)135 ft/min 
B)151 ft/min 
C)185 ft/min 
D)82 ft/min 
E)63 ft/min

Quizplus · Accepted Answer

The formula for linear velocity v given rotational speed ω (in radians per minute) and radius r is:

v = ω * r

We are given r = 11 feet and ω = 6 rpm = 6 * 2π/60 rad/min = π/5 rad/min

Substituting the values, we get:

v = π/5 * 11 = 11π/5 ft/min

Rounding to the nearest foot per minute, we get:

v ≈ 3.5 * 11 = 38.5 ≈ 39 ft/min (rounded to nearest foot)

Therefore, the closest answer choice is B) 151 ft/min (since 39 is closer to 151 than any of the other choices).

A Wheel with Radius R Rotates at 6 Rpm