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A float in an ocean harbor is made from a uniform foam having a specific weight of
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Applied Fluid Mechanics (7th Edition)
- A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)arrow_forward4.0 m السرو 4.0 m The raft is made of solid square Pinewood (density= 550 kg/m'). Determine whether the raft floats in water (density = 1000 kg/m) and if so, how much of the raft is beneath the water surface. Weight of raft 0.30 m Since the density of the raft (pinewood) is less than that of water, the raft foats. Q: A force of 250 N is applied to a hydraulic piston that is 0.01 m in diameter. If the piston which supports the load has a diameter of 0.10 m, approximately how much mas can be lifted? 250 N 0.01 m 0.10 marrow_forwardDetermine the final metacentric heightarrow_forward
- Two builders carry a sheet of drywall up a ramp. Assume that W = 1.9 m, L = 3.3 m, theta = 19.0⁰, and that the lead builder carries a weight of 109.0 N (24.5 lb). L- Ө What is the weight carried by the builder at the rear? HINT: Consider the drywall to have no thickness. The builder at the rear gets tired and suggests that the drywall should be held by its narrow side. ~W~ 0 What is the weight he must now carry? HINT: From the previous problem, you know how much each builder carries. Therefore you know the total weight. Set the sum of the torques about the front lower corner to 0, so that you do not need to know the weight carried by the builder in front.arrow_forwardFluidarrow_forward5. A 3-m-long (in the direction perpendicular to the paper) curved gate is located in the side of a reservoir. The gate forms a quarter of a circle whose radius is 2 m. Determine the magnitude of the horizontal and vertical components of the force that is required to hold the gate in place (ignore the self weight of the gate). 6 m Water X-2 2 m Gatearrow_forward
- Your calculation and explanation are helpful. Next, Calculate elastic modulusYour observation of the gluten-free pancakes shows that they are much softer. For that reason you only use a 0.7 kg weight. Now the height of the pancake stack decreases from its initial value of 55 mm to a final value of 46 mm. Use these measurements to calculate the elastic modulus of the pancakes. Express your answer in Pascals but without including the unit.Next, Calculating distance between bonds Given your measurement of the elastic modulus, what is the distance between the bonds in the gluten-free pancakes? Assume that the interaction energy between the molecules in the gluten free pancake recipe is Uint = kBT = 4*10-21J The cross link distance isa) larger than 1 micronb) between 100 nm and 1 micronc) between 10 nm and 100 nmd) between 1 nm and 10 nme) smaller than 1 nmarrow_forwardA 4.9 cubic feet of water are compressed to 5000 psig. What is the volume decrease if the temperature is 60°F? Assume the average bulk modulus of elasticity of 311 000 psi.arrow_forwardHello! Can you please assist me in solving these questions. Thank you in advancearrow_forward
- 5. A triangular gate 4 ft base and 6 ft high is placed on the surface of a dam shown in the figure. Its base is hinged and the vertex is attached to a cylindrical buoy whose weight is 100 lb. The external diameter of the buoy 12.8 ft is 4 ft and the weight of the gate is 200 lb. The mechanism is such that the buoy will open the gate if water surface will rise higher than 12.8 ft. What is the height of the cylinder below the water surface. Answer:5.73 ft 4 ft 0.6 0.8 + a ft 6 ftarrow_forward3arrow_forwardAn 87.5 kg fisherman sits at the center of the boat, which has a uniform width and a weight per linear foot of 4.1 lb/ft. The boat is 13 m long. Assume that the water exerts a uniform distributed load upward on the bottom of the boat. a. What is the applied load (lb) applied to the boat due to the weight of the fisherman? Round up to the next whole value.b. Using the applied load at Item 9.a, what is the maximum shear force (lb) exerted on the boat?c. What is the maximum bending moment (lb-ft) exerted on the boat?d. At what distance from the left side of the boat the maximum bending moment occurs?arrow_forward
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