Answer:
9.14hrs
Explanation:
1 horse power = 745.7 watts
1.5 horse power = 1118.55 watts
1 ft = 0.305 m
24 ft = 7.3152 m
60 ft = 18.288 m
the water tank is spherical, volume of a spherical tank = 3/4 πr³ where is r is the radius of the tank = 7.3152 m / 2 = 3.66 m
volume = 4/3 ( 3.66 m ³) × 3.142 = 205.394 m³
mass of water = density × volume = 205.394 m³ × 1000kg/m³ = 205,394 kg
weight of water = mass × acceleration due to gravity = 205,394 kg × 9.8 = 2012861.2 N
potential energy stored at the height where water was stored = mgh = weight × height = 2012861.2 N × 18.288 m
potential energy stored = energy from the pump = power in watt × t
1118.55 watts × t =2012861.2 N × 18.288 m
t = (2012861.2 N × 18.288 m) / 1118.55 watts = 32846.62 secs = 9.14 hrs