Question

A pump is to lift 18.0 kg of water per minute through a height of 3.60 m. What output rating (in watts) should the pump motor have? (Write the unit watts as W.)

Answer 1

`10.6` W

Step-by-step explanation:

m = mass of water being lited = 18.0 kg

t = time taken to lift the amount of water = 1 min = 60 sec

g = acceleration due to gravity = 9.8 m/s²

h = height to which the amount of water is raised = 3.60 m

P = Power output of the pump

Power output of the pump to lift the water can be given as

`P = (mgh)/(t)`

Inserting the values

`P = ((18) (9.8) (3.60))/(60)`

`P = 10.6` W