Calculate the power of a pump that is required to lift 360kg of water through the height of 3m in 1minute
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.
To calculate the power of a pump required to lift water, we need to use the formula:
Power (P) = Work done / Time
Work done is equal to the force exerted multiplied by the distance lifted. In this case,
Work done = force x distance
First, we need to calculate the force exerted by the pump to lift the water. The force can be determined using the formula:
Force = mass x acceleration due to gravity
Given:
Mass (m) = 360 kg (kilograms)
Acceleration due to gravity (g) = 9.8 m/s^2 (meters per second squared)
Force = 360 kg x 9.8 m/s^2 = 3528 N (Newtons)
Next, we calculate the work done by multiplying the force and the distance lifted:
Work done = Force x Distance
Distance = 3 m (meters)
Work done = 3528 N x 3 m = 10584 J (Joules)
Lastly, we can calculate the power:
Power = Work done / Time
Time = 1 minute = 60 seconds
Power = 10584 J / 60 s = 176.4 W (Watts)
Therefore, the power of the pump required to lift 360 kg of water through a height of 3 m in 1 minute is approximately 176.4 Watts.