NAME: _________________________________________
November 22, 2019
Section:__________________
FLUID MECHANICS
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According to Archimedes’ principle, if a body is immersed partially or fully in a fluid then the buoyancy force is
___________ the weight of fluid displaced by the body.
According to equation of continuity, when water falls its speed increases, while its cross sectional area
________________.
Simplified equation of continuity is represented as _____________________.
If every particle of fluid has irregular flow, then flow is said to be __________________.
Prove 1 Pa = 1 kg / m · s2
Consider a hydraulic system with two pistons. Piston 1 applies a force F 1 over area A1and piston 2 applies a
force F2 over area A2.If you double the force applied by piston 1 and reduce the area of piston 2 by a factor of
3, what is the new force
One litre of a certain fluid weighs 8N. What is its specific volume?
A barber raises his customer’s chair by applying a force of 150N to a hydraulic piston of area 0.01 m2. If the
chair is attached to a piston of area 0.1 m2, how massive a customer can the chair raise? Assume the chair
itself has a mass of 5 kg.
In a hydraulic system, a piston has a cross-sectional area of 20 square centimeters pushes on an
incompressible liquid with a force of 30 newtons. The other end of the hydraulic pipe connects to the second
piston with a cross-sectional surface area of 100 square centimeters. Calculate the force on the second piston.
Water enters a typical garden hose of diameter 1.6 cm with a velocity of 3 m/s. Calculate the exit velocity of
water from the garden hose when a nozzle of diameter 0.5 cm is attached to the end of the hose.
Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The
refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe
drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli
equation. The density of ethanol is 789 kg/m3 and gravity g is 9.8 m/s2.