Q. A water pump lift 9kg of water through a vertical height of 3.5 m in 10 minute .calculate the power of the pump?
power = work/time
= force*distance/time
= mg * distance / time
= 9 * 9.8 * 3.5 / 600
= 0.51 watt
To calculate the power of the water pump, we can use the formula:
Power = Work / Time
First, we need to calculate the work done by the pump. The work done is equal to the force applied multiplied by the distance moved.
Work = Force * Distance
In this case, the force is the weight of the water lifted and the distance is the vertical height.
Weight = mass * acceleration due to gravity
Weight = 9 kg * 9.8 m/s^2 (taking the acceleration due to gravity as 9.8 m/s^2)
Work = Weight * Distance
Work = (9 kg * 9.8 m/s^2) * 3.5 m
Now, we have the work done by the pump. We need to convert the time from minutes to seconds because the SI unit of power is watts, which is equivalent to joules/second.
Time = 10 minutes = 10 * 60 seconds = 600 seconds
Finally, we can calculate the power using the formula mentioned earlier.
Power = Work / Time
Power = ((9 kg * 9.8 m/s^2) * 3.5 m) / 600 s
By performing the calculations, we can find the power of the water pump.