A water pump produces 9KL of water per hour at a height of 70 m above the pump.The pump is driven by a 3 KW electric motor.calculate.
1) The work done per hour
2) The work done per minute
fresh water is about 1 kg/Liter
so m g h/t = 9000 kg * 9.81 * 70/3600 seconds
= 1717 Watts done
= 1717 Joules/second * 3600 seconds/hr = 6,180,300 Joules/hour
= 1717Joules/second*60 s/min = 103,020 Joules/min
Do for me please
To calculate the work done per hour and per minute, we first need to determine the amount of work done in lifting the water.
The work done, W, is given by the equation:
W = mgh
Where:
m is the mass of the water lifted,
g is the acceleration due to gravity (approximately 9.8 m/s^2),
and h is the height.
Given that the water pump produces 9 KL (9,000 liters) of water per hour, we can calculate the mass of the water using the density of water:
Density of water = 1,000 kg/m^3
Mass of water = volume of water × density of water
Volume of water = 9,000 liters = 9,000 kg
Now we can calculate the work done per hour and per minute.
1) The work done per hour:
Work done per hour = W × number of lifts per hour
The number of lifts per hour is equal to the water flow rate per hour divided by the volume of water lifted at each lift.
Given that the pump produces 9 KL per hour and the height is 70 m, the number of lifts per hour can be calculated as follows:
Number of lifts per hour = (9,000 kg) / (9,000 kg/lift) = 1 lift
Therefore, the work done per hour is:
Work done per hour = (9,000 kg) × (9.8 m/s^2) × (70 m) = 6,930,000 J
2) The work done per minute:
Since there are 60 minutes in an hour, the work done per minute can be calculated as follows:
Work done per minute = (Work done per hour) / 60
Work done per minute = (6,930,000 J) / 60 = 115,500 J
Therefore, the work done per minute is 115,500 J.
To calculate the work done per hour and per minute, we need to determine the total amount of work done by the water pump in lifting the water against the force of gravity.
First, let's calculate the work done per hour:
1) Work done per hour:
Work done = Power x Time
Given that the power of the electric motor is 3 KW and the time is 1 hour:
Work done per hour = 3 KW x 1 hour = 3 KWh
Therefore, the work done per hour is 3 KWh.
2) Work done per minute:
To calculate the work done per minute, we need to convert the given parameters (work done per hour) to the desired time unit.
There are 60 minutes in an hour, so to find the work done per minute, we divide the work done per hour (3 KWh) by 60:
Work done per minute = 3 KWh / 60 = 0.05 KWh
Therefore, the work done per minute is 0.05 KWh.
Note that 1 KWh (Kilowatt-hour) is equal to 3.6 million joules. Therefore, you can convert the values to joules if necessary by multiplying by 3.6 million.