Question

1. Hydraulic shears are used in manufacturing are used to cut large sheets of metal. Using hydraulic pressure, the machine pushes a wedge to cut the metal. The wedge has a 0.25 inch thick cutting blade and the length of the blade is 5 inches. Hydraulic pressure applies an effort of 2000 Ib to the wedge. What's the ideal mechanical advantage to the wedge?

2. How much resistance force can ideally be generated by the 2000 Ib efforct force?

3. A wheelchair ramp has a height of 4 feet. The base of the ramp measures 11 feet. What is the slope of the ramp?

4. What is the idea mechanial advantage is the ramp?

5. If a person and a wheelchair have a combined weight of 150 Ib, how much effort force is required to travel up the ramp?

Answer 1

Step-by-step explanation:

1. Mechanical advantage of a wedge is the ratio of length to thickness.

MA = L / T

MA = 5 in / 0.25 in

MA = 20

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

MA = Fout / Fin

20 = Fout / 2000 lb

Fout = 40,000 lb

3. Slope is the ratio of rise to run.

m = 4/11

4. Mechanical advantage of a ramp is the inverse of its slope.

MA = 1/m

MA = 11/4

MA = 2.75

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

MA = Fout / Fin

2.75 = 150 lb / Fin

Fin ≈ 54.5 lb