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."
__ 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)