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A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground n the efficiency of the pump is 30% how much electric power is consumed by the pump?
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Problem Statement:
A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground and the efficiency of the pump is 30%, we need to determine the amount of electric power consumed by the pump.

Solution:

Step 1: Calculate the amount of work done by the pump:
Given that the volume of the tank is 30m3, we can convert it to liters by multiplying by 1000:
Volume of the tank = 30m3 = 30,000 liters

The work done by the pump is equal to the weight of the water lifted to the tank. The weight of water can be calculated using the formula:
Weight = Volume × Density × Gravity

The density of water is approximately 1000 kg/m3, and the acceleration due to gravity is 9.8 m/s2.
Weight of water = 30,000 liters × 1000 kg/m3 × 9.8 m/s2

Step 2: Calculate the height the pump lifts the water:
Given that the tank is 40m above the ground, the height the pump lifts the water is 40m.

Step 3: Calculate the work done against gravity:
The work done against gravity can be calculated using the formula:
Work = Force × Distance

Force = Weight of water = 30,000 liters × 1000 kg/m3 × 9.8 m/s2
Distance = Height = 40m

Work done against gravity = (30,000 liters × 1000 kg/m3 × 9.8 m/s2) × 40m

Step 4: Calculate the total work done:
The total work done by the pump is the sum of the work done against gravity and the work done against friction or other losses.

Total work done = Work done against gravity + Work done against friction or other losses

Step 5: Calculate the electric power consumed:
The electric power consumed by the pump can be calculated using the formula:
Power = Work done / Time

Given that the pump fills the tank in 15 min, we need to convert it to seconds:
Time = 15 min × 60 sec/min

Electric power consumed = Total work done / Time

Step 6: Calculate the efficiency of the pump:
The efficiency of the pump is given as 30%, which can be converted to a decimal form:
Efficiency = 30% = 0.30

Step 7: Calculate the electric power input:
The electric power input to the pump can be calculated using the formula:
Electric power input = Electric power consumed / Efficiency

Finally, we can substitute the values into the equations and calculate the electric power input consumed by the pump.
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A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground n the efficiency of the pump is 30% how much electric power is consumed by the pump?
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A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground n the efficiency of the pump is 30% how much electric power is consumed by the pump? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground n the efficiency of the pump is 30% how much electric power is consumed by the pump? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40m above the ground n the efficiency of the pump is 30% how much electric power is consumed by the pump?.
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