Download Practice Problem set 3

ENGR 1100
PRACTICE PROBLEM SET #4
1. The driver gear is rotating at 25 rpm counter-clockwise, what is the angular velocity of the left
gear? If the output of torque is 150 ft·lb, what is the input torque at the driver gear?
20 teeth
5 teeth
Driver
2. The driver gear is rotating at 50 rpm clockwise, what is the angular velocity of the right most gear
(i.e. magnitude and rotational direction) If the input torque is 150 ft·lb, what is the output torque?
20 teeth
12 teeth
13 teeth
5 teeth
Driver
3. The driver gear is rotating at 36 rpm counter-clockwise, what is the angular velocity of the left
most gear? If the input torque is 10 ft·lb, what is the output torque?
45 teeth
12 teeth
10 teeth
6 teeth
Driver
ENGR 1100
PRACTICE PROBLEM SET #4
4. What is the angular velocity of the rear wheel, if the left-most sprocket is rotating at 60 rpm. If the
input torque 120 ft·lb, what is the output torque?
Left sprocket # teeth =24, driven sprocket # teeth =12, driving sprocket #teeth=36, rear wheel
hub # teeth=6
5. The large piston in a hydraulic lift has a radius of 250 cm2. What force must be applied to the small
piston with an area of 25 cm2 in order to raise a car of mass 1500 kg?
6. A trash compactor pushes down with a force of 500 N on a 3 cm2 input piston, causing a force of
30,000 N to crush the trash. What is the area of the output piston that crushes the trash?
7. When the button of a trash compactor is pushed, a force of 350 N pushes down on a 1.3 cm2 input
piston, creating a force of 22,076 N to crush the trash. What is the area of the piston that crushes
the trash?
8. The force applied from your foot to the car brake is approximately 40 lbs. The input area of the
master cylinder is 10 in2. If the area of the disk brake hydraulic interface is 225 in2, what is the
force delivered to each disk.