An 80-percent-efficient pump with a power input of 20 hp is pumping water from a lake to a nearby pool at a rate of 1.5 ft3/s through a constant-diameter pipe. The free surface of the pool is 80 ft above that of the lake. Determine the mechanical power used to overcome frictional effects in piping.

mechanical power used to overcome frictional effects in piping is 2.37 hp

Explanation:

given data

efficient pump = 80%

power input = 20 hp

rate = 1.5 ft³/s

free surface = 80 ft

solution

we use mechanical pumping power delivered to water is

 .............1

put here value

 = (0.80)(20)

= 16 hp

and

now we get change in the total mechanical energy of water is equal to the change in its potential energy

  ..............2

and that can be express as

    ..................3

so

     ......4

solve it we get

hp

so here

due to frictional effects, mechanical power lost in piping

we get here

put here value

= 16 -13.614

= 2.37  hp

so mechanical power used to overcome frictional effects in piping is 2.37 hp

this is true

explanation:

i looked it up

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