Problema Solution
a wheel with a radius 6 ft is lowered into water. if the current causes the wheel to rotate at a speed of 8 revolutions per minute what is the speed of the current in miles per hour?
Answer provided by our tutors
The circumference of the wheel is:
C = 2*6*pi
C = 12 pi ft
1 mi = 5280 ft
1 ft = 1/5280 mi
C = (12/5280)pi mi
The speed of the wheel is:
v = 8 revolutions per min
v = 8*C/(1/60) mph (1 min = 1/60 hr)
v = 8*(12/5280)pi/(1/60)
v = 1.09 pi
pi = 3.14
v = 1.09*3.14 mph
v = 3.43 mph
The speed of the current is 3.43 mph.