Question 1 water is stored either side of a vertical lock

Question

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.

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

and determine the difference in pressures p1 - p2.

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

Answer 1

For the questions illustrated below, consider the diagram and information and provide responses. Q1. Water is stored either side of the vertical lock gate as illustrated in Figure. The water level on one side of the wall is 10.0 m; on the other side it is 4.0 m. Find out the total force on the wall, per metre length and the location of the point of action of force. Q2. A vertical gate is placed at the side of a tank having water, as illustrated in the figure. The top of the gate is 2 m from the top of the water level in the tank. Compute the magnitude and position of the resulting force on the gate if the gate is: a) Rectangular by a width of 2 m b) Circular c) Triangular by means of the apex at the bottom and a top width of 4 m