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A horizontal pipelline carries water ...

A horizontal pipelline carries water in a streamline flow . At a point along the pipe , where the cross - sectional area is `10 cm^(2)` , the water velocity is 1 m/s and pressure is 2000 Pa . The pressure of water at another point where cross - sectional area is ` 5 cm^(2)` , is _______ (in Pa)

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To solve the problem, we will apply the principles of fluid mechanics, specifically the continuity equation and Bernoulli's equation. ### Step-by-Step Solution: 1. **Identify Given Data:** - Cross-sectional area at point 1, \( A_1 = 10 \, \text{cm}^2 = 10 \times 10^{-4} \, \text{m}^2 = 0.001 \, \text{m}^2 \) - Velocity at point 1, \( V_1 = 1 \, \text{m/s} \) - Pressure at point 1, \( P_1 = 2000 \, \text{Pa} \) ...
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