Water is pumped from a lake to reservoir using a pump which exerts 25 kW of useful mechanical power to the water. If the flow rate of the water is measured to be 0.035 m³/s and the free surface of the reservoir is 60 m higher than the surface of the lake, determine the irreversible head loss of the system and the lost mechanical power during this process. Draw your schematic/ free-body diagram.

The tank shown contains water to a level1 meter from the top. The tank is 3-meter wide at the top, and it has a depth of 3 meter and a length of 8 meter. Find the work required to pump all the water out of the spout, 2 meter above the top of the tank (the density of p = 1000; acceleration due to gravity at the earth's surface is 9.8) 14. kg and the m3 m TA十al

#31 PROVIDE THE GIVEN, REQUIRED, SOLUTION AND EXPLANATION

7. A fuel oil tank is an upright cylinder, with radius 3 meters and height 13 meters. a. Assuming the tank is full, calculate the work required to pump the oil out a spout 1 meter above the top of the tank. Round to the nearest whole number, and include units with your answer. Note: W - Vpgd Density of the oil = 800 kg/m³. Acceleration due to gravity = 9.82 b. Is it true that it takes half as much work to pump the oil out of the tank if it's only half full? Explain why or why not.

A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is filled with water to the depth of 12 meters. What is the amount of work needed to pump all the water to the top of the tank? a. 6.7 × 106 N O b. 4.8 x 106 N O c. 7.5 x 106 N O d. 5.4 x 106 N e. None of the choices.

A hand-driven tire pump has a piston with a 2.1 cm diameter and a maximum stroke of 24 cm. (a)  How much work do you do in one stroke if the average gauge pressure is 2.1 × 105 N/m2?  (b)  What average force do you exert on the piston, neglecting friction and gravitational force?