Find the horizontal hydrostatic force, Mechanical Engineering

Assignment Help:

Question. In the system shown below, the force exerted by the free jet issuing from the sharp-edged circular nozzle and impinging on the small circular plate is just su±cient to keep the (iscoceles) triangular door closed against the water pressure. The depth of the water in the tank is kept fixed by using top-up water. The mass of the arm, the circular plate and door are negligible. The door and the plate are each rigidly fixed to the arm, through their centroids.

 

2079_Find the horizontal hydrostatic force.png

Neglect friction in both the water flow and the pivot, and take ½ ¼ 1000 kg/m3 the density of water, and g ¼ 9:81m/s2 the acceleration due to gravity. Give full details of your assumptions, symbolic working and numerical calculations.

(a) Neglecting fluid motion (you can use results from Qu. 1) find (i) the horizontal hydrostatic force FN acting on the door, and (ii) the line of action of the hydrostatic force.

(b) Using Bernoulli's equation find the jet speed VJ .

(c) Draw a control volume focussed only on the circular plate, and analyze the linear momentum equation to find the horizontal hydrodynamic force FR acting on the plate in terms of nozzle diameter d.

(d) Finally, use moments to find the value of the diameter d.


Related Discussions:- Find the horizontal hydrostatic force

Ancillary railway structures, Ancillary Railway Structures: Overhe...

Ancillary Railway Structures: Overhead Transmission Lines When the line is electrified, the electric loco has to pick up the electric current from a cable that runs

What is a uniformly distributed load, A UDL or uniformly distributed load i...

A UDL or uniformly distributed load is a load, which is reach over a beam in such a way that every unit length is laded to the similar extent.

Find out dimension of the cross section of the beam, Q.  A wooden beam of t...

Q.  A wooden beam of the rectangular cross section is subjected to bending moment of 5KNm. If the depth of section is to be double the breadth and stress in wood is not to exceed 6

Thermodynamics: Apple Hydrocooling Unit, Design a hydrocooling unit that ca...

Design a hydrocooling unit that can cool fruits and vegetables from 30 to 5 degrees Celsius at a rate of 20,000 kg/hr under the following conditions: The unit will be of flood typ

Calculate size of blank required for drawing, Calculate Size of Blank Requi...

Calculate Size of Blank Required for Drawing A flanged cup shown in Figure is to be produced by deep drawing. Calculate the size of the blank required for drawing.

Transformer for flash butt welding, Transformer for flash butt welding ...

Transformer for flash butt welding The transformer required for flash butt welding is similar to that needed for other resistance welding processes. Here, the transformer is to

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