a 700 watt pump is used to pump from a well 5 meters deep. how long will it take to pump 30
To calculate the time it will take for the 700 watt pump to pump 30 cubic meters of water from a well 5 meters deep, we need to consider the power of the pump, the work done, and the rate of work.
First, let's calculate the work done by the pump. Work is calculated by multiplying the force applied by the distance over which it is applied. In this case, the force is the weight of the water being lifted, and the distance is the height of the well.
The weight of water can be calculated using the formula:
Weight = density × volume × acceleration due to gravity
Assuming the density of water is 1000 kg/m³ and the acceleration due to gravity is approximately 9.8 m/s², the weight of 30 cubic meters of water is:
Weight = 1000 kg/m³ × 30 m³ × 9.8 m/s²
Next, we need to calculate the power or rate at which work is performed. Power is the amount of work done per unit of time. In this case, the power of the pump is given as 700 watts.
Power = Work / Time
Rearranging the formula, we can solve for time:
Time = Work / Power
Now we can substitute the values we have into the equation:
Time = (Weight × distance) / Power
Plugging in the values:
Time = ((1000 kg/m³ × 30 m³ × 9.8 m/s²) × 5 m) / 700 watts
Calculating this equation will give you the approximate time required to pump 30 cubic meters of water from a well 5 meters deep using a 700 watt pump.