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A pipe of varying area of cross-section ...

A pipe of varying area of cross-section is held such that its axis is horizontal. At two cross sections A and B, its radii are 8 cm and 4 cm. If velocity of water at A through the pipe is 16 cm `s^(-1)` and pressure at A is `10^( -6)` dyne/`cm^(2)` , find the pressure at cross-section B.

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To find the pressure at cross-section B of the pipe, we will use the principles of fluid dynamics, specifically the continuity equation and Bernoulli's equation. Here’s the step-by-step solution: ### Step 1: Identify the given data - Radius at cross-section A, \( r_1 = 8 \) cm - Radius at cross-section B, \( r_2 = 4 \) cm - Velocity at cross-section A, \( V_1 = 16 \) cm/s - Pressure at cross-section A, \( P_1 = 10^{-6} \) dyne/cm² ...
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