Water is pumped steadily out of a flooded basement at a speed of 5.7m/s, through a uniform hose of radius 1.01cm. The hose passes through a window 2.96m above the waterline. What is the power (in W) delivered by the pump?
Continuity and Bernoulli principles
The Attempt at a Solution
By using the radius, the cross sectional area is found to be 3.2047 * 10^-4 m^2.
Multiply this by the velocity to find the flow rate I got: .001827 m^3/s or 1.827 kg/s.
Multiply this by gravity (9.8 m/s^2) and the height (2.96m), I got 52.99 Watts.
I don't know where I made a mistake, please help!