Question
Calculate the power of a pump that is required to lift 360kg of water through the height of 3m in 1minute
Answers
Answered by
GPT 3.5
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.
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.