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Coursework for Block F (Fluid Mechanics) Dr Timothy Hong Department of Urban Engineering London South Bank University Tel: XXXXXXXXXX XXXXXXXXXX Room: T607 become what you want to be Question 1. Water...

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Coursework for Block F (Fluid Mechanics) Dr Timothy Hong Department of Urban Engineering London South Bank University Tel: XXXXXXXXXX XXXXXXXXXX Room: T607 become what you want to be Question 1. Water is stored either side of a vertical lock gate as shown in Figure Q1 The water level on one side of the wall is 10.0 m, on the other side it is 4.0 m. Determine the net force on the wall, per metre length, and the location of the point of action of the force XXXXXXXXXXFIGURE Q1 Question 2. A differential U-tube manometer is to be used to measure the difference between 2 points on a horizontal water pipeline as shown in Figure Q2. If the difference in level on the manometer h is 176 mm, and the relative density of mercury is 13.6, show that h g p p w m w ? ? ? ? ? ? ? ? ? 1 1 2 ? ? ? and determine the difference in pressures p1 – p2. FIGURE Q2 h pressure, p1 p2 water, density ?w mercury, density ?m Question 3. Find the head, h, on the mercury manometer. Question 4. A vertical gate is located at the side of a tank containing water, as shown in Figure Q4. The top of the gate is 2 m from the top of the water level in the tank. Calculate the magnitude and location of the resultant force on the gate if the gate is a) Rectangular with a width of 2 m b) Circular c) Triangular with the apex at the bottom and a top width of 4 m Figure Q4 Note: Please submit the report of coursework (with coversheet) at Faculty office by Friday (4 pm), 10 May 2012 All coursework should be written using a word processor and graphical software. Hand-written report can not be marked. Late Submission Late work will be penalized. Plagarism All courseworks are to be the student's own original work. No plagiarism of published material or other student's (former or current) work will be allowed. Cheating, falsification, plagiarism and other forms of academic dishonesty are violations of LSBU policy and can result in grade adjustment, penalty.
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Engineering Principles Coursework for Block F (Fluid Mechanics) Dr Timothy Hong Department of Urban Engineering London South Bank University Tel: XXXXXXXXXX XXXXXXXXXX Room: T607 become what you want to beQuestion 1. Water is stored either side of a vertical lock gate as shown in Figure Q1 The water level on one side of the wall is 10.0 m, on the other side it is 4.0 m. Determine the net force on the wall, per metre length, and the location of the point of action of the force. 10.0 4.0 FIGURE Q1Question 2. A differential U-tube manometer is to be used to measure the difference between 2 points on a horizontal water pipeline as shown in Figure Q2. If the difference in level on the manometer h is 176 mm, and the relative density of mercury is 13.6, show that ?? p? p? 1 2 m ??1 h ?? ? g? w? w? and determine the difference in pressures p – p . 1 2 pressure, p 1 p 2 water, density ? w h mercury, density ? m FIGURE Q2

Answered Same Day Dec 22, 2021

Solution

David answered on Dec 22 2021
136 Votes
Solution
Net Force on the wall:
Force per unit length applicable due to water can be calculated using
F = ??hcg x height of the water level on left side
where ?? is specific gravity of water and equal to 9982kg/m3 and hcg is the position of the center of gravity of water
So , due to water on left side of the wall
= 9982 x 5 x 10
= 499.1kN
Force due to water on right side of the wall will be
F = ??hcg x height of the water level on right side
= 9982 x 2 x 4
= 79.856 kN
Since the two forces are opposite, Net force will be
= 419.244kN (Answer)
Location of Action of Force:
Since the lock gate is closed then the Sum of moments on both sides of the wall will be zero
�?????????? = 0
Let the location of the point is h from the bottom of the water level, So from the above expression
79.856x – 499.1 (3-x) = 0
On solving we get
x = 8.62m from left side water level (Answer)
Solution...
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