A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.550 m/s. The water is freshwater (a lake) at T = 15°C. The design team builds a one-fifth scale model to test in their university's wind tunnel. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25°C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve rimilarity?

The South African swimming team sometimes use the UWC pools to practice. Suppose that you take a deep breath and then DIVE 2 m deep into the pool. You immediately feel the pressure against your eardrums. This pressure is dependent on the following parameters OA. the depth and density of the water at that point as well as the gravitational acceleration (g) OB. the density of the water as well as the gravitational acceleration (g) OC. Only the depth of the water at that point. O D. the depth of the water at that point as well as the gravitational acceleration (g)

A cylinderis fitted with a piston beneath which is a spring, as in the attachment.  The cylinder is open to the air at the top.  The sprink constant is 4300 N/m. The piston has negligible mass and a radius of 0.032.  When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? How much work does the atmospheric pressure do in compressing the spring.

A tank holds a large amount of water. A pipe is connected to the tank at the upper end and is open to the air at the lower end (see figure).The upper end of the pipe is h1 = 1.90-m above the ground. The lower end of the pipe is h2 = 0.570-m above the ground. The water at the upper end of the pipe has a speed of 0.640 m/s. The water at the lower end of the pipe has a speed of 8.50 m/s.What is the pressure in the water in the pipe at the upper end of the pipe?

Pressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force (in N) must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 21.0 cm in diameter and the gauge pressure inside is 2.60 atm? Neglect the weight of the lid. N

A Volkswagen with mass m = 8.00 x 102kg is at rest as shown in the figure. Both pistons have a circular cross-sectional area. The small piston has a diameter of d1 = 0.25 m and the large piston has a diameter d2 = 4.5 m. Determine the magnitude of the forceexercised on the small piston.

You and your father are designing a waterfall for your backyard swimming pool. At the top of the waterfall is a tank containing water that is kept to a depth d = 0.280 m by a pump. As shown, there is a small hatch of height h = 0.100 m and width w = 0.150 m, hinged at the top, that can be used to turn on and turn off the supply of water to the waterfall. You want to attach a simple latch at the center of the bottom of the hatch and are trying to decide what type of latch to buy at your local hardware store. To make that decision, you need to determine the force that the latch must be able to withstand to keep the hatch closed.

A child is playing with a 0.5 kg ball in the swimming pool. The ball is made of a stiff rubber and has a radius of .25 m. Assume the volume of the ball does not change when held under water. What downward force must the child exert on the ball to hold it in equilibrium just below the surface of the water? a. b. How does this answer change if the child was holding the ball near the bottom of the pool (1.5 m down)?

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.010 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring?   * I know that a is = 0.0088422743 m  but b is NOT 8.950712099 J (wrong) please show work of how to work part b.