Question

(10 points) A cable car at a ski resort carries skiers a distance of 3.4 km. The cable which moves the car is driven by a large circular pulley with diameter 3.0 m. Assuming no slippage, how fast (using the unit of rpm, or revolution per minute) must the pulley rotate for the cable car to make the trip in 5.0 minutes? ОА 72 rpm B.30 rpm C. 150 rpm 0.60 rpm E 9.4 rpm

Answer 1

6800 Resort carries skiers a distance of 314 um The cable which a so skires cover total distance in a trip s=3.4x2=6.8 km = 6800 m A trip takes 5 min relocity of the cable car = 5 I w=1360 m/min If the circular pulley with rotate on revolurim the it coner = 20R m distance Si= 2 x* x3 = 18.85 m the angular relocity of the pulley is 1360 7 = E rpm =72-1 rpm 1885 od W=728pm 2. The coner pulley need to rotate 72 ner/min to the trip with in 5 min.