Question

1. What is the linear distance traveled in one revolution of a 9 in diameter wheel?

2. An industrial water shutoff valve is designed to operate with 15 Ib of effort force. The valve will encounter 155 Ib of resistance force applied to a 0.85 in diameter axle. What is the actual mechanial advantage of the sytem?

3. If the diameter of the wheel is 10.5 inches, what is the efficiency of the wheel and axle system?

4. A block and tackle system with 8 supporting strands is used to lift materials in a manufacturing facility. The motor being used to wind the cable in the pulley system can provide 200 Ib of force. What is the ideal mechanical advantage of the pulley system?

5. Ideally what is the maximum weight of materials that can be lifted?

Answer 1

Step-by-step explanation:

1. Circumference is pi times diameter.

C = πd

C = 9π inches

C ≈ 28.3 inches

2. Mechanical advantage is ratio of output force to input force.

MA = Fout / Fin

MA = 155 lb / 15 lb

MA ≈ 10.3

3. Mechanical advantage is ratio of input distance over output distance.

MA = din / dout

MA = 10.5 in / 0.85 in

MA ≈ 12.4

4. Mechanical advantage of pulley system is the number of strands.

MA = 8

5. Mechanical advantage is ratio of output force to input force.

MA = Fout / Fin

8 = Fout / 200 lb

Fout = 1600 lb