Question

hydraulic pipe where pistons are circular and the r the large 2m and the r small is 0.2m. fluid is h2o.

1. smaller 1kg and larger weighs 100kg, what is ∆h?

2. placed a wood on the large(m=1500kg), how much force is u needed to for small to have the same ∆h as in 1?

3. removed the wood and the small from the tube and apply same force from 2 above on the large, what speed would the water shoot from the now open tube? ∆h = 0 and no resistance.

Answer 1

Part 1) The pressure difference is given by

Part 2) As in case one so

Part 3) Using conservation of energy, pressure energy per unit volume is equal to the kinetic energy per unit volume.