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

Assignment Help:

(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


Related Discussions:- Derive the equation for the shape of the surface

Steam mass capacity, I have 5000 kg boiler capacity. In flow of 1 m3 gas fl...

I have 5000 kg boiler capacity. In flow of 1 m3 gas flow how much steam I can produce

Determine maximum tension in the belt, The following data is provided for b...

The following data is provided for belt transmission dynamometer as shown in figure, NA = 400 r.p.m., DA = 750 mm, DB = DC = DD = 250 mm, L = 800mm, Power = 8KW. Determine :- Th

Tunnels and laying of track, Tunnels: Tunnels become unavoidable for ...

Tunnels: Tunnels become unavoidable for negotiating hills, where detours are costly. The tunnels in rock are not lined, but those in loose strata require a lining of cement c

Computer integrated manufacturing, the component of computer integrated man...

the component of computer integrated manufacturing with the diagram

Swot Analysis, what are the threats of mechanical engineering ?

what are the threats of mechanical engineering ?

Equations of static equilibrium, Equations of static equilibrium: In p...

Equations of static equilibrium: In particular, if the forces are parallel and we take z-axis parallel to them, then the first, second and last equations are identically satis

Find out the common velocity, Find out their common velocity: An aerop...

Find out their common velocity: An aeroplane weighing 40 kN horizontally moves with a velocity of 20 m/sec (72 kmph, that means 72 km per hour). A helicopter of weight 20 kN i

If no leak found in the above listed area remove flywheel, If no leak found...

If no leak found in the above listed area remove flywheel: Remove fly wheel and check weather oil leak is from the seal or "o" ring.

Thormodynamics, define thormodynamics and its laws

define thormodynamics and its laws

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd