Calculate the power of a pump which lifts 500kg of water through a vertical height of 4m in 5sec (assuming g=10m/s^2).
Power=work done/time=force used*distance/time
=500*g*4/5
=500*10*4/5
.^.=4000w
=4kw.
Wow it's amazing
To calculate the power of a pump, we can use the formula:
Power = (Work done) / (Time)
Where:
Work done = (Force) x (Distance)
Force = (Mass) x (Gravity)
Given:
Mass (m) = 500 kg
Vertical height (h) = 4 m
Time (t) = 5 sec
Gravity (g) = 10 m/s^2
First, let's calculate the force:
Force = Mass x Gravity
Force = 500 kg x 10 m/s^2
Force = 5000 N
Next, calculate the work done:
Work done = Force x Distance
Work done = 5000 N x 4 m
Work done = 20,000 Joules
Lastly, calculate the power:
Power = Work done / Time
Power = 20,000 J / 5 s
Power = 4000 Watts
Therefore, the power of the pump is 4000 Watts.
To calculate the power of a pump, you need to use the formula:
Power (P) = Work (W) / Time (t)
First, let's calculate the work done by the pump to lift the water. The work done is given by the formula:
Work (W) = Force (F) x Distance (d)
The force required to lift the water can be calculated using Newton's second law of motion:
Force (F) = Mass (m) x Acceleration due to gravity (g)
Given:
Mass (m) = 500 kg
Acceleration due to gravity (g) = 10 m/s^2
Therefore, the force required to lift the water is:
F = m x g
F = 500 kg x 10 m/s^2
F = 5000 N
Now, let's calculate the work done by the pump:
W = F x d
W = 5000 N x 4 m
W = 20,000 N∙m (or Joules)
Finally, we can calculate the power of the pump:
Power (P) = Work (W) / Time (t)
P = 20,000 N∙m / 5 s
P = 4,000 Watts
Therefore, the power of the pump is 4000 Watts.