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
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Question

A jet of velocity V strikes a vane that moves to the right at
speed Vc, as in Fig.  The vane has a turning angle θ.
Derive an expression for the power delivered to the vane by
the jet. For what vane speed is the power maximum?

P. V, A
Ve
Transcribed Image Text:P. V, A Ve
Expert Solution
Step 1

Given data:

*The velocity of the jet is V.

*The velocity of the vane is Vc.

*The vane has a turning angle of θ.

The relative velocity of the jet and the van is V-Vc.

Thus, the force due to the flow of jet is given by:

Mechanical Engineering homework question answer, step 1, image 1

Therefore, the power delivered to the vane by the jet is given by:

Mechanical Engineering homework question answer, step 1, image 2

The maximum powers occur when the derivative of power with respect vane speed become zero, Thus,

Mechanical Engineering homework question answer, step 1, image 3

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