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Water flows through a tunnel from the r...

Water flows through a tunnel from the reservior of a dam towards the turbine installed in its power plant . The power plant is situated h metre below the reservoir . If the ratio of the cross sectional areas of the tunnel at the resercoir and power station end is `eta ` , find the speed of the water entering into the turbine .

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To solve the problem of finding the speed of water entering the turbine, we will use the principles of fluid mechanics, specifically the continuity equation and Bernoulli's equation. Here’s a step-by-step solution: ### Step 1: Understand the Setup We have a reservoir of water at a height \( h \) above the turbine. The cross-sectional areas of the tunnel at the reservoir and at the turbine are given as \( A_1 \) and \( A_2 \) respectively. The ratio of these areas is given as \( \eta = \frac{A_1}{A_2} \). ### Step 2: Apply the Continuity Equation The continuity equation states that the mass flow rate must remain constant. Therefore, we can write: \[ ...
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