A water tank springs a leak. Find the speed of water emerging from the hole if the leak is 2.9 m below the surface of the water, which is open to the atmosphere.
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- Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.441×10−3 m3/sand the diameter of the nozzle you hold is 5.63×10−3 m. At what speed ? does the water exit the nozzle?A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.461×10−3 m3/sand the diameter of the nozzle you hold is 5.67×10−3 m. At what speed ? does the water exit the nozzle?
- 10) Water circulates throughout an apartment complex in a hot water heating system. (a) If the water is pumped at a speed of 0.50 m/s through a 4.0 cm diameter pipe under a pressure of 3.1 × 105 Pa, what will be the velocity and pressure in a 2.6 cm diameter pipe on the second floor 5.0 m above? (b)If the apartment building is 8 floors total, will there be enough pressure for the water to get to the top floor? Explain your reasoning. (You can assume every floor is 5m and that the pipe size stays 2.6 cm)Fire hoses used in major structure fires have inside diameters of 6.40 cm. Suppose such a hose carries a flow of 40.0 L/s starting at a gauge pressure of 1.62×106 N/m2. The hose goes 10.0 m up a ladder to a nozzle having an inside diameter of 3.00 cm. Assuming negligible resistance, what is the pressure in the nozzle?A water pipe has a 3.0 cm inside diameter and carries water into the basement of a house. At the basement, the water speed is 1.20 ms−1 and the pressure exerted is 190 kPa. The pipe then tapers to 1.5 cm inside diameter as it rises to the second floor, which is 8.5 m above the input point. Calculate: a) the speed of the water on the second floor.b) the water pressure on the second floor
- A sealed tank containing seawater to a height of 11.0 m also contains air above the water at a gauge pressure of 3.00 atm. Water flows out from the bottom through a small hole. How fast is this water moving?A cylindrical water tank is 20.0 m tall, open to the atmosphere at the top, and is filled to the top. It is noticed that a small hole has occurred in the side at a point 15.5 m below the water level and that water is flowing out at the volume flow rate of 2.30 10 -3 m3/min. Determine the speed in m/s at which water is ejected from the hole.Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573 × 10–3 m³/s and the diameter of the nozzle you hold is 5.09 × 10-3 m. At what speed v does the water exit the nozzle?
- A tank in the shape of an inverted cone has a height of 20 meters and a base radius of 11 meters and is filled with liquid to a depth of 16 meters. Determine the amount of work needed to pump all of the liquid to a point 1m from to the top of the tank. Assume that the density of the liquid is 793 kg/m 3AST Water is flowing in the pipe shown in the figure below, with the 8.20-cm diameter at point 1 tapering to 3.85 cm at point 2, located y 12.5 cm below point 1. The water pressure at point 1 is 3.20 x 10 Pa and decreases by 50% at point 2. Assume steady, ideal flow. What is the speed of the water at the following points? (a) point 1 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s (b) point 2 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/sSuppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573×10−3 m3/sand the diameter of the nozzle you hold is 5.41×10−3 m. At what speed ? does the water exit the nozzle?