Answered: P. V, A Ve

Engineering

Mechanical Engineering

P. V, A Ve

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.46P

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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

A jet of velocity V strikes a vane that moves to the right at
speed V_c, 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?

Expert Solution

Step 1

Given data:

*The velocity of the jet is V.

*The velocity of the vane is V_c.

*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:

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

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

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