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Water is flowing with a speed of 2m//s i...

Water is flowing with a speed of `2m//s` in a horizontal pipe with cross-sectional area decreasing from `2xx10^(-2) m^(2)` to `0.01 m^(2)` at pressure `4xx10^(4)` pascal. What will be the pressure at smaller cross-section?

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AI Generated Solution

To find the pressure at the smaller cross-section of the pipe, we can use the principles of fluid dynamics, specifically the continuity equation and Bernoulli's equation. Here’s a step-by-step solution: ### Step 1: Write down the known values - Initial velocity (V1) = 2 m/s - Initial cross-sectional area (A1) = 2 x 10^(-2) m² - Initial pressure (P1) = 4 x 10^4 Pa - Final cross-sectional area (A2) = 1 x 10^(-2) m² - Final pressure (P2) = ? (to be determined) ...
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