Water from a stream is falling on the blades

Also Read : • Water is falling on the blades of a turbine at a rate of 100 kg/s from a certain spring. If the… • Water falls from a height of 60 m at the rate of 15 kg/ s to operate a turbine. The losses due to… • Water falls from a height of 60 m at the rate of 15 kg/ s to operate a turbine. The losses due to… • The height of the dam, in an hydroelectric power station is 10 m. In order to generate 1 MW of… • Water enters in a turbine at a speed of 500 m/s. and leaves at 400 m/s. If 2 × 10^3 kg/s of water… • Of two masses of 5 kg each falling from height of 10 m , by which 2 kg water is stirred. The rise in… • A flat plate moves normally with a speed v1 towards a horizontal jet of water of uniform are of… • A pump motor is used to deliver water at a certain rate form a given pipe. By what amount the power… • A pump motor is used to deliver water at a certain rate from a given pipe of area of cross-section… • A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much…

As shown in the photograph below, when water comes out of a pipe (located on the surface of the earth) it travels downwards in an arc. What is the shape and size of this arc as a function of D, the inner diameter of the pipe, and, P, the pressure of the water? I suppose the shape is either a parabola or maybe a catenary. Assume the pipe is horizontal and the water is exiting the pipe perpendicular to gravity. (Although a thrown object will have a parabolic trajectory, I don't think I can assume that a stream of water will necessarily be parabolic because the water stream has viscosity.) Let's first examine the initial shape immediately when the water exits the pipe: Initially, the stream possesses a well-defined radius of curvature $R$, which we can find by applying Euler's equation normal to a streamline: $$ \frac = \eta Q \Delta P=\eta A_c V \Delta P$, you can see how pressure influences $V$ again. Generally, you can see that a larger pressure at the pipe exit will result in larger $V$, thus giving our parabola a larger focal length. Vice versa for smaller pressure. The specific answer to how $V$ depends on $D$ and $P$ depends on what your system includes before the pipe exit. You're last "embraced" comment is important. I'll try to answer this question qualitative. Suppose the water consists of microscopic non-interacting particles (apart from elastic collisions), say microscopic sand particles. All these particles come out of the pipe with an average horizontal velocit...

Hint: When water falls from a height, it has potential energy due to the force of gravity. This potential energy will be the energy that gets transferred to the turbine, which then produces power. Use this idea to proceed with the problem. Complete step by step solution: Let the mass of the water that falls be denoted by $m$ . Let the height from which the water falls as measured from the turbine be denoted by $h$ . Let the potential energy of the water that falls be denoted by $E$ . The potential energy can be computed as follows $E = mgh$ This energy is the same energy that gets converted into kinetic energy just when it touches the blades of the turbine. This kinetic energy is used to turn the turbine and hence generate power. So the rate of change of potential energy of the water will be equal to the power generated by the turbine due to the falling water. Therefore, $P = \dfrac$ .

[latex]\boldsymbol[/latex]). In this text we shall use whatever metric units are most convenient for a given situation. Figure 1. Flow rate is the volume of fluid per unit time flowing past a point through the area A. Here the shaded cylinder of fluid flows past point P in a uniform pipe in time t. The volume of the cylinder is Ad and the average velocity is v̄=d/tso that the flow rate is Q=Ad/t=Av̄. Example 1: Calculating Volume from Flow Rate: The Heart Pumps a Lot of Blood in a Lifetime How many cubic meters of blood does the heart pump in a 75-year lifetime, assuming the average flow rate is 5.00 L/min? Strategy Time and flow rate[latex]\boldsymbol[/latex]for volume gives [latex]\begin[/latex]is [latex]\boldsymbol[/latex]is the average velocity. This equation seems logical enough. The relationship tells us that flow rate is directly proportional to both the magnitude of the average velocity (hereafter referred to as the speed) and the size of a river, pipe, or other conduit. The larger the conduit, the greater its cross-sectional area. [latex]\begin[/latex][latex]\rbrace[/latex] This is called the equation of continuity and is valid for any incompressible fluid. The consequences of the equation of continuity can be observed when water flows from a hose into a narrow spray nozzle: it emerges with a large speed—that is the purpose of the nozzle. Conversely, when a river empties into one end of a reservoir, the water slows considerably, perhaps picking up speed again when...

Also Read : • The water from a stream is falling at the blades of a turbine at the rate of 2000 kg/s. If the water… • Water falls from a height of 60 m at the rate of 15 kg/ s to operate a turbine. The losses due to… • Water falls from a height of 60 m at the rate of 15 kg/ s to operate a turbine. The losses due to… • The height of the dam, in an hydroelectric power station is 10 m. In order to generate 1 MW of… • Water enters in a turbine at a speed of 500 m/s. and leaves at 400 m/s. If 2 × 10^3 kg/s of water… • An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to… • A 2 kg block is dropped from a height of 0.4 m on a spring of force constant 2000 N/m. The maximum… • A spring gun of a spring constant k = 4000 N/m is held in a vertical position. It projects a ball of… • A block of mass 'm' initially at rest is dropped from a height 'h' on to a spring of force constant… • Initially, spring of spring constant 100 N/m is in its natural length. The block of mass 1 kg…

The block has mass M and rests on a surface for which the coefficient of friction μ. If a force F = k t 2 is applied to the cable(see figure), the power 'P' developed by the force F at t = t 2 ​ is approximately______ kilowatt. Write 'P-10' in OMR sheet. (Given: $$M = 20kg, \mu = 0.4 , k = 4 0 N / s 2 , t 2 ​ = 3 s e c.)