Question

1. Suppose an automobile engine can produce 185 N·m of torque, and assume this car is suspended so that the wheels can turn freely. Each wheel acts like a 14 kg disk that has a 0.175 m radius. The tires act like 2.1 kg rings that have inside radii of 0.175 m and outside radii of 0.32 m. The tread of each tire acts like a 8.5 kg hoop of radius 0.325 m. The 15 kg axle acts like a solid cylinder that has a 2.1 cm radius. The 27.5 kg drive shaft acts like a solid cylinder that has a 3.3 cm radius. Calculate the angular acceleration, in radians per square second, produced by the motor if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car.

Answer 1

M 14kg o l5 madiu Tres2-1gings aud Slaclii O75 m umida) O32m (outsida) 2.5 hop o al o325m 15k arle 2.1 Cm Sacdius 27.5 ka duwe, 3.3cm Suadius Memaut a ertia Yha chaal aboud wt ans Lcohoel 2 luxo752 0.42875 the memert netia t Ya oalls a toxag, / Lialy 22m( +2) 2 fy2-1(015203) 0-279 m The memaut f nartia tha hoep i . SX 0325 2. 2 2 O8978 kg.m

15X (0.021 Tazlamyg 2 2- kg m 3.3075xl -0.5x27.5X(o-033 O.Ol4973 m Sunmalieo memed neitia iy op taebtt Ltolal Susheel tTea 0.4285t0.279+0 89780.o0330 +o ol493 1.62383 Net toque 0.95X 185 l75.75N onet 7575 103.23 Total 1-62383