Answer to Question #77930 in Mechanics | Relativity for jerry

Question

D Work, energy and power DNS Semester 5/ Mechanics/ Aug. 2017/CKM 42
To Be A Leader In Maritime Education & Training
• A pump draws water from a tank and issues it at
a speed of 10 m/s from the end of the hose of
cross sectional area 5 cm2, situated 4 m above
the level from which the water is drawn. Find the
rate at which the pump is working.

Answer 1

For incompressible fluid the continuity equation says ρvS=const, and for water vS=const which means that volumetric flow rate is constant for each for any section of the flow.
Q=vS=10×5×〖10〗^(-4)=5×〖10〗^(-3) m^3/s