Four cable lines are used to pull cable cars up and down the hills of Smallville. Each cable travels at a speed of 9.55 mph, caused by a rotating wheel with a diameter of 8.5 feet. How fast is the wheel rotating?
v 9.55 mi / hr v 9.55 (5280 / 3600) 14.01 ft / sec w r v w v / r 14.01 / (8.5/2) 3.296 rad /sec w 31.47 rev / min
the circumference of wheel pi* dia 3.14*8.5 26.70 feet Speed of cable 9.55 miles per hour 9.55*5280/60 feet per min 840.4 feet per min No. of revolution of wheel 840.4/26.7 per min. 31.47 revolutions per minute.
