A simple hydraulic jack can be built that does not need a pump. As shown in the

Question

A simple hydraulic jack can be built that does not need a pump. As shown in the sketch, the jack consists of a large-diameter cylinder/piston on the right side that lifts the heavy weight, W, and nothing but a tall tube on the left side into which oil can be poured. The idea is to use the hydrostatic pressure force ("head'') of the oil in the tube on the left side to lift the weight on the right side. Ignoring friction in the piston/cylinder, ignoring the weight of the piston compared to W, and assuming on oil leakage, generate an expression for the oil height h required to just star t lifting the weight. Your expression should be h as a function of the other variables as needed.

Explanation / Answer

The pressure acting at the level of load = oil * g*h
so force acting on the weight = pressure *area = oil * g*h**D2^2 / 4

for just lifting , this force should be equal to W

so oil * g*h**D2^2 / 4 = W

h = 4W / (oil * g**D2^2)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.