Question

A gate in an irrigation canal is constructed in the form of a trapezoid 2 m...

A gate in an irrigation canal is constructed in the form of a trapezoid 2 m wide at the bottom, 38 m wide at the top, and 2 m high. It is placed vertically in the canal so that the water just covers the gate. Find the hydrostatic force on one side of the gate.

Note that your answer should be in Newtons, and use g = 9.8 m/s2.
Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let us consider a co-ordinate system such that the bottom of the gate is x=0.

Form the figure it is evident that depth is

From the similar triangles BGH and BDF

We have two of these similar triangles.

Hence, width is

Hence, at height x, total width is

If density is rho then, Hydrostatic force is given by

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A gate in an irrigation canal is constructed in the form of a trapezoid 7 m...
A gate in an irrigation canal is constructed in the form of a trapezoid 7 m wide at the bottom, 19 m wide at the top, and 2 m high. It is placed vertically in the canal so that the water just covers the gate. Find the hydrostatic force on one side of the gate. Note that your answer should be in Newtons, and use g = 9.8 m/s2.
EXAMPLE 6.1 A trapezoidal irrigation canal has a bottom width of b¼1.2m, side slopes of m¼2...
EXAMPLE 6.1 A trapezoidal irrigation canal has a bottom width of b¼1.2m, side slopes of m¼2 (2H:1V), and a longitudinal bottom slope of S0¼0.0005. A rectangular sharp-crested weir placed in this channel has a crest height of p¼0.70m, and a crest length of Lw¼0.80m. The water surface elevation at the approach section is h0¼0.77m above the weir crest. Determine the discharge in the canal.
A dam has a shape of a trapezoid. The height is 30 m and the width...
A dam has a shape of a trapezoid. The height is 30 m and the width is 60 m at the top and 40 m at the bottom. Find the force on the dam due to hydrostatic pressure if the water level is 5 m from the top of the dam.
A triangular plate with base 6 m and height 2 m is submerged vertically in water...
A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface. 4 m ( from water surface to top of triangle ) 6 m ( triangle width ) 2 m (triangle height ) Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to...
Question 2 (1 point) This swing gate is used to hold back water in a channel....
Question 2 (1 point) This swing gate is used to hold back water in a channel. The channel is 1 m wide, and the water is h = 0.9 metres deep. The swing gate sits at an angle of θ = 25 degrees, as depicted. The gate could be supported entirely by a force and moment on the pin at the bottom, or by other reaction forces at mountings not shown in this diagram. Neglecting the weight of the gate,...
A farm gate (Fig. P12.44) is 3.00 m wide and 1.80 m high, with hinges attached...
A farm gate (Fig. P12.44) is 3.00 m wide and 1.80 m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is tightened by a turnbuckle to a tension of 200 N. The mass of the gate is 40.0 kg. (Assume that the positive directions are upward and to the right.) Find the horizontal force exerted by the upper hinge. What if? What must be...
A trapezoidal plate, with 9m and 5m bases and 3m height, is submerged vertically in a...
A trapezoidal plate, with 9m and 5m bases and 3m height, is submerged vertically in a tank of water so that its top is 2m to the water surface (as figure below). Calculate the hydrostatic force against one side of the plate. (Water mass density ρ = 1000 kg/m3, and g = 9.8 m/s2). Please help me with this. My answer is 690900.
1A) Use integration to find the amount of fluid force exerted against one side of the...
1A) Use integration to find the amount of fluid force exerted against one side of the submerged triangular plate An equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of...
A valve shaped like a triangle of base 3 meters and height 2 meters is submerged...
A valve shaped like a triangle of base 3 meters and height 2 meters is submerged vertically 3 meters below the surface of the water in a tank. a. Assuming that the tank is full, use the techniques learned in Chapter 2.5 to set up a definite integral of the total fluid force ? on a side of the valve. b. Calculate the fluid force ? (in Newtons). Use 1000 kg/?3 as the mass density of water and ? =...
Set up integrals to compute the total volume in m^3 of and the total work in...
Set up integrals to compute the total volume in m^3 of and the total work in Joules to pump all of the water out of the following tanks. Assume that the density of the water is a uniform 1000 kg/m^3 and that the acceleration due to gravity is a constant 9.8 m/s^2. b.) An inverted, square-based pyramid (top side length 6 * sqrt(2) m, bottom side length 3 * sqrt(2) m, height 3 m), completely filled to the top with...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT