To calculate the power required, we need to know the work done by the pump in lifting the water.
The work done (W) is given by the formula:
W = mgh
Where:
m = mass of the water (360 kg)
g = acceleration due to gravity (9.8 m/s^2)
h = height (3 m)
Substituting the given values:
W = 360 kg * 9.8 m/s^2 * 3 m
W = 10,584 J (joules)
Now, we need to convert the time from minutes to seconds:
t = 1 minute * 60 seconds/minute
t = 60 seconds
Power (P) is defined as the work done (W) divided by the time (t):
P = W / t
P = 10,584 J / 60 s
P ≈ 176.4 W (watts)
Therefore, the power required for the pump to lift 360 kg of water through a height of 3 m in 1 minute is approximately 176.4 watts.
Calculate the power of a pump that is required to lift 360kg of water through the height of 3m in 1minute
1 answer