Derive the equation for the shape of the surface, Mechanical Engineering

(Rigid body rotation) Derive the equation for the shape of the surface zsurf(rsurf) for a rigid-body rotation of water at angular speed (rad/sec). Follow this process:

1) Start with pressure gradient in cylindrical coordinates:

2) Write out force balance in r and z directions

3) Integrate using the method we did in class: F = ma in r-direction gives: P(r,z) = P(r) + f1(z) F = ma in z-direction gives: P(r,z) = P(z) + f2(r)

4) Solve for z(r) at surface, where P = Patm = constant

762_Rigid body rotation.png

Posted Date: 4/2/2013 1:50:03 AM | Location : United States







Related Discussions:- Derive the equation for the shape of the surface, Assignment Help, Ask Question on Derive the equation for the shape of the surface, Get Answer, Expert's Help, Derive the equation for the shape of the surface Discussions

Write discussion on Derive the equation for the shape of the surface
Your posts are moderated
Related Questions

(a) Explain safety features of latest vehicles. (b) Discuss the advantages and disadvantages of front wheel drive vehicles over rear wheel drive vehicles.

WIRE-FRAME MODELSĀ  The wire-frame model is perhaps the oldest way of representing solids. According to this model, any solid is represented by its edges and vertices. A wire-fr

Copper-Lead Alloys Copper-lead alloys, having a large percentage of lead have determined a considerable employ as bearing material lately. Straight, copper-lead alloys of such

Q. Automation Material Specifications? Automation Material Specifications include the development and / or review of material specifications, and the review of data sheets, mat

Compute the outside diameter of the shaft: A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean t

types of compressor used in super chasrger

Why is back rake angle preferred to be negative for brittle materials?

Design the bending moment and shear force diagram for a simply supported beam of length 9 m and carrying a Uniformly distributed load of 10 KN /m for a distance of 6 m from the lef

Control Surface and Flow Work - thermodynamics: Cont r o l Surface: A control system has control volume that is separated from its surrounding by real or imaginary contro