A uniform cylinder of cross-sectional area 0.2 square m is filled with water to

Question

A uniform cylinder of cross-sectional area 0.2 square m is filled with water to a depth of 9 m above its outflow valve.By how much does the potential energy of the system, as measured with respect to the outflow valve, increase if water is pumped in from the level of the outflow valve until the depth increases by 0.03 m ?

If water is then allowed to flow from the cylinder through the small outflow valve until the water returns to its original level, what will be the total kinetic energy of the outflowing water and what will be its average speed, assuming no dissipative losses?

Solve this problem by energy considerations only. Then solve using Bernoulli's Equation.

Explanation / Answer

Pressure P = rgi g h

change in PE = mgh

from density D = mass/Volume

mass = DV = 1000* 0.2 * 9

mass = 1800 kgs

so PE = 1800 * 9.8 * 0.03

PE change = 529.2 Joules

--------------------------------------

total KE = change in PE = 529.2 Joules

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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