An oil pump is drawing 35 kW of electric power while pumping oil with p= 860 kg/m³at a rate of 0.1 m³/s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm,respectively. If the pressure rise of oil in the pump is measured to be 400 kPa andthe motor efficiency is 90 percent, determine the mechanical efficiency of the pump.Hint: Oil flow is steady and incompressible, and the elevation change is negligible.12 cmPump8cmOilAP-400 LP01m%

Answered: n oil pump is drawing 35 kW of electric…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Concept explainers

Question

An oil pump is drawing 35 kW of electric power while pumping oil with p= 860 kg/m³
at a rate of 0.1 m³/s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm,
respectively. If the pressure rise of oil in the pump is measured to be 400 kPa and
the motor efficiency is 90 percent, determine the mechanical efficiency of the pump.
Hint: Oil flow is steady and incompressible, and the elevation change is negligible.
12 cm
Pump
8cm
Oil
AP-400 LP
01m%

Expert Solution

Step 1

Given:

The power of motor is, $P_{m o t o r} = 35 k W$ .

Density of oil is, $ρ = 860 k g / m^{3}$ .

The flow rate is, $Q = 0.1 m^{3} / s$ .

The inlet diameter is, $d_{1} = 8 c m = 0.08 m$ .

The outlet diameter is, $d_{2} = 12 c m = 0.12 m$ .

The efficiency of the motor is, $η_{m o t o r} = 0.90$ .

The pressure rise of oil is, $∆ P = P_{2} - P_{1} = 400 k P a$ .

The area of pump at inlet can be calculated as,

$A_{1} = \frac{π}{4} \times d_{1}^{2}$

Substitute the values in the above equation,

$A_{1} = \frac{π}{4} \times {(0.08)}^{2} A_{1} = 0.00503 m^{2}$

Similarly area at outlet,

$A_{2} = \frac{π}{4} \times d_{2}^{2}$

Substitute the values in the above equation,

$A_{2} = \frac{π}{4} \times {(0.12)}^{2} A_{2} = 0.01131 m^{2}$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Does Mary have a valid concern about the pump?

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS