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Common Data Question
A centrifugal pump has an efficiency of 80%. The specifications of the pump are:
Discharge = 70 m3/hr, head = 7 m, speed = 1450 rmp and diameter = 2000 mm. If the speed of this pump is increased to 1750 rpm.
Q. Power input required is given by:  
  • a)
    1.066 kW
  • b)
    1.067 kW
  • c)
    2.12 kW
  • d)
    20 kW
Correct answer is option 'A'. Can you explain this answer?
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Common Data QuestionA centrifugal pump has an efficiency of 80%. The s...
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Common Data QuestionA centrifugal pump has an efficiency of 80%. The s...
Given data:
Efficiency of the pump (η) = 80%
Discharge (Q) = 70 m3/hr
Head (H) = 7 m
Speed (N1) = 1450 rpm
Diameter (D) = 2000 mm

Calculating power input at the given speed:
Power input (P1) can be calculated using the formula:
P1 = (Q * H * ρ * g) / (η * 1000)
where ρ is the density of the fluid being pumped and g is the acceleration due to gravity.

Converting the diameter from mm to m:
Diameter (D) = 2000 mm = 2 m

Calculating the power input at the given speed:
Substituting the given values into the formula, we have:
P1 = (70 * 7 * ρ * g) / (80 * 1000)

Calculating the power input at the increased speed:
New speed (N2) = 1750 rpm
To find the new power input (P2), we can use the affinity laws for pumps:
(P2 / P1) = (N2 / N1)^3
P2 = P1 * (N2 / N1)^3

Substituting the values and calculating P2:
P2 = P1 * (1750 / 1450)^3

Calculating the power input required:
The power input required is given by:
Power input required = P2 - P1

Calculating the final answer:
Substituting the values of P1 and P2, we can calculate the power input required:
Power input required = P2 - P1

Hence, the correct answer is option 'A' - 1.066 kW.
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Common Data QuestionA centrifugal pump has an efficiency of 80%. The specifications of the pump are:Discharge = 70 m3/hr, head = 7 m, speed = 1450 rmp and diameter = 2000 mm. If the speed of this pump is increased to 1750 rpm.Q.Power input required is given by:a)1.066 kWb)1.067 kWc)2.12 kWd)20 kWCorrect answer is option 'A'. Can you explain this answer?
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