Question

2. A water pump that consumes 2 kW of electric power when operating is claimed to take in water from a lake and pump it to a pool whose free surface is 30 m above the free surface of the lake at a rate of 50 L/s. Determine if this claim is reasonable

Answer 1

the claim is false

Step-by-step explanation:

Power consumed = mgh

m = ρv where volume per seconds ( 1 l = 0.001 m³) = 50 L/s × 0.001 m³ = 0.05 m³, ρ density of water = 1000 kg/m³

P consumed = ρv gh = 0.05 m³×1000 kg/m³ × 9.8m/s × 30 m = 14700 = 14.7 Kw

This claim is false because the power consumed is greater then the 2kW reported.