Water of length I = 1.8 meters fills a U-tube. The water is displaced as shown and allowed to move freely, resulting in simple harmonic motion. The simple harmonic motion can be derived from the 2nd law of dynamics by considering the extra weight in the water column on the high side. What is the period of this oscillation in seconds? Round your answer to the nearest 2 decimal points.
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- Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.85 ✕ 105 Pa and the pipe radius is 2.70 cm. At the higher point located at y = 2.50 m, the pressure is 1.27 ✕ 105 Pa and the pipe radius is 1.30 cm. A pipe is open at both its left and right ends. The pipe starts at the left end, extends horizontally to the right, curves up and to the right, and extends horizontally to the right again. The right end is higher than its left end, and the change in height is labeled y. The diameter at the right end is smaller than the diameter at the left end. The pressure at the left end is labeled P1, and the pressure at the right end is labeled P2. (a) Find the speed of flow in the lower section. m/s(b) Find the speed of flow in the upper section. m/s(c) Find the volume flow rate through the pipe. m3/sA vertical, circular cross sectional jet of water leaves a nozzle with diameter, d, as shown in Figure 4. The volume flow rate of the water is equal to Q. The water jet strikes a conical deflector and the force of the water jet suspends the conical deflector at height H above the nozzle. The weight of the conical deflector is given by W. The water jet spreads uniformly on the surface of the conical deflector, as shown in the figure. (a) Determine the velocity of the water jet prior to striking the conical deflector in term of Q, d and H? Calculate H, given Q= 0.005 m³/s, d= 20 mm, W= 15.0 N and 0=45° . (Ь) 20 H Figure 4Solve
- A solid metal sphere of volume 0.722 m³ is lowered to a depth in the ocean where the water pressure is equal to 4.02 x 107 N/m². What is the change in the volume of the sphere? The atmospheric pressure is 1.013 × 105 Pa and the bulk modulus of the metal from which the sphere is made is 1.27 x 10¹⁰ N/m². Answer in units of m³. Your response... Previous Responses X #1.0.00228 PALETTEA vertical U tube of uniform cross section contains water upto a height of 0.3m. Calculate the time period of oscillating water when it is depressed on one side and then released.A rectangular solid made of aluminum has a density p= 2.70 g/cm³. The dimensions of the solid are shown below. The solid is placed on top of a truncated cone whose circular ends have the dimensions shown. The bottom of the rectangular solid down on the top surface of the cone. Find the pressure (in N/m²)between those two surfaces. (Ignore air pressure.) (1 kg = 1000 g, 1 m 100 cm) presses 10.0 cm 8.00 cm 15.0 cm r= 2.00 cm R = 6.00 cm
- Blocks A and B were simultaneously immersed in the same liquid. Block A has 10 lb and the area submerged in the liquid is 2.70 ft² while Block B is 15 lb and 4.30 ft². If the frequency of oscillation of Block A is 5Hz. a) What is the frequency of oscillation of Block B? b) What is the specific weight of the liquid? c) What is the specific gravity of the liquid?A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to CA,√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole, that is let c = 1. (Assume the acceleration due to gravity g is 9.8 m/s². Round your numeric value to five decimal places.) dh dt = eBook -3 8.47392 10 3 √hQuestion 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.