Question

Find the total force on a semi-circle (half-circle) shaped dam where the top of the dam...

Find the total force on a semi-circle (half-circle) shaped dam where the top of the dam is the diameter of the circle, and the diameter of the circle is 12 m. The water rises to the top of the dam. Set up the integral needed to solve the problem, but do not integrate. (Hint: The density of water is 1000 kg/m3 , and g = 9.8 m/s2 .)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A dam on a river is built so that the wall facing the water is shaped...
A dam on a river is built so that the wall facing the water is shaped like the region above the curve y=0.3 x^4 and below the line y= 140 . (Here, distances are measured in meters.) The water level is 20 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000 "kg"/m^3, and the acceleration of gravity is 9.8 m/sec^2 .)
A vertical dam has a semicircular gate as shown in the figure. The total depth d...
A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42 m, the height h of air above the water level is 6 m, and the width w of the gate is 8 m. Find the hydrostatic force against the gate. (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 water is 1000 kg/m3.)
(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters...
(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters and top radius 6 meters is full of water. Set up a Riemann Sum and an Integral to model the work that is required to pump the water to the level of the top of the tank? No need to integrate here. (Note that density of water is 1000 kg/m3 ). RIEMANN SUM ______________________________________________ INTEGRAL____________________________________________________ Provide an explanation as to the difference of the...
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 ? =...
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.
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...
A glass has circular cross sections that taper​ (linearly) from a radius of 7 cm at...
A glass has circular cross sections that taper​ (linearly) from a radius of 7 cm at the top of the glass to a radius of 6 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 6 cm above the top of the​ glass? Use 1000 kg/m3 for the density of orange juice and 9.8 m/s2 for the...
Problem 18.87 Drops of an oil that has a mass density of 700 kg/m3 are released...
Problem 18.87 Drops of an oil that has a mass density of 700 kg/m3 are released from a broken undersea oil pipe that is 1200 m below the ocean surface. Use 1000 kg/m3 for the mass density of ocean water. Part A If the drops have an average diameter of 100 μm, how long do they take to rise to the surface? Hint: The drops quickly reach terminal speed and experience a viscous drag force of magnitude Fdwo=(0.0200Pa⋅s)Rv, where R...
1. A person pushes on a doorknob with a force of 5.00 N perpendicular to the...
1. A person pushes on a doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from the axis of the hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about hinges? Select one: a. 6.50 kg.m2 b. 2.50 kg.m2 c. 12.5 kg.m2 d. 2.00 kg.m2 2. A dumbbell has a connecting bar of...