A pump raises water through a height of 15m at the rate of 30kg per second .Calculate the power of the pump
m g h = 30 * 9.81 * 15 = work done on 30 kg
power = work done/time = m g h/(1 second)
in Watts
To calculate the power (P) of the pump, we can use the formula:
P = mgh
Where:
P is the power,
m is the mass of water being raised per second,
g is the acceleration due to gravity, and
h is the height to which the water is being raised.
Given:
m = 30 kg/s (mass of water raised per second)
h = 15 m (height to which water is raised)
g = 9.8 m/s² (acceleration due to gravity)
Now, plug the given values into the formula to calculate the power:
P = (30 kg/s) * (9.8 m/s²) * (15 m)
P = 4410 Watts
Therefore, the power of the pump is 4410 Watts.