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

Material handling, how the car manufacturing company handle the material

how the car manufacturing company handle the material

2 degree freedom of system, A mechanical System (two degrees of freedom sys...

A mechanical System (two degrees of freedom system) is represented by the following two differential equations: m1x"1+(k1+k2)x1-k2x2=0 m2x"2-k1x1+(k2+k3) x2=0 Given m1=m2=0.5kg, k

Characteristics of computer controlled scheduling (ccs), Characteristics...

Characteristics  Of  Computer  Controlled Scheduling (Ccs) To control the manufacturing system in an effectual way, the system is normally composed in a task-based hierarchy. T

How can we transfer data among cad system, How can we transfer data among C...

How can we transfer data among CAD system The three main reasons for transferring data among CAD systems (or CAE systems or agents etc.) are : (i)  To communicate with remot

What do you mean by compression moulding, Q. What do you mean by Compressio...

Q. What do you mean by Compression moulding? In compression molding, a material normally in power or perform shape , is loaded directly into the hot die cavity, pressure from

Minimun work term in reciprocating compressor, what is mean by minimum work...

what is mean by minimum work term in reciprocating compressor?

Need Assignment, Ac circuit having rl rc rlc. Series

Ac circuit having rl rc rlc. Series

Calculating the maximum moment, Select a standard rolled steel I-section fo...

Select a standard rolled steel I-section for the simply supported beam shown in figure below.  Select an appropriate factor of safety and material strength.  Include references for

Determine coefficient of friction, Following data is provided for a 360 o ...

Following data is provided for a 360 o hydrodynamic bearing : Radial load = 3.2 kN journal Speed =1490 rpm journal diameter = 50 mm bearing length = 50 mm radial cl

Show pneumatic test, Q. Show Pneumatic Test? Pneumatic testing presents...

Q. Show Pneumatic Test? Pneumatic testing presents hazards that must be addressed as part of the engineering design of the pressure vessel. Due to the additional hazards of

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