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Based on unit considerations alone, show that the power

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 35P Chapter 1

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 35P

Based on unit considerations alone, show that the  power needed to accelerate a car of mass m (in kg) from rest to velocity V (in m/s) in time interval t (in s) is proportional to mass and the square of the velocity of the car and inversely proportional to the time interval.

Step-by-Step Solution:

Step 1:

        Mass of the car = m (in kg)

        Initial velocity = 0 (in m/s)

        Final velocity = v (in m/s)

        Time interval = t (in s)

Step 2:

        To prove

        Power

Step 3:

        Taking Left hand side

        Power is defined as the rate of doing work or the amount of energy consumed in a second.

        P =

        We know that work done = force x distance

        W = F x d

        P =

        Force = mass x acceleration

        F = ma

        Therefore the power can be written as

        P =

Step 4 of 6

Chapter 1, Problem 35P is Solved
Step 5 of 6

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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Based on unit considerations alone, show that the power

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