SOLUTION: A cyclist moves the pedals of a bicycle at 8 ft/sec. The pedals are connected to the center of a gear with a 4 inch radius by a 6 inch shaft. The gear is connected by a chain to a

Question 130134: A cyclist moves the pedals of a bicycle at 8 ft/sec. The pedals are connected to the center of a gear with a 4 inch radius by a 6 inch shaft. The gear is connected by a chain to a gear with a 3 inch radius. The 3 inch radius gear is in the center of a wheel with a 16 inch radius. What is the linear speed of the wheel in ft/sec.?
I missed this question on a test and it's been bugging me. I'm ok if I'm given rev/min. but this starts out with the pedals moving at 8 ft/sec. Help, I'm so confused!!

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"A cyclist moves the pedals of a bicycle at 8 ft/sec"

"The pedals are connected to the center of a gear with a 4 inch radius by a 6 inch shaft."
__ so the speed of the gear is 2/3 (4in/6in) of the pedal

"The gear is connected by a chain to a gear with a 3 inch radius."
__ the speed of the chain is constant, so the two gears have the same circumferential speed

"The 3 inch radius gear is in the center of a wheel with a 16 inch radius"
__ so the speed of the wheel is 16/3 (16in/3in) of the gear

"What is the linear speed of the wheel in ft/sec.?"
__ 8(2/3)(16/3)
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