## Math Problem Statement

Oil flows through a pipe that contracts from 450mm diameter at A to 300mm diameter at B and then forks. One branch being 150mm diameter discharging at C and the other branch being 225mm discharging at D. If the velocity at A=1.5m/s and the velocity at B is 3.6m/s, (i)Find the discharge at C and D, (ii) find the velocities at B and C

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Fluid Mechanics

Continuity Equation

Volumetric Flow Rate

### Formulas

Q = A * v

A = π * d^2 / 4

Q_B = Q_C + Q_D

### Theorems

Continuity Principle in Fluid Dynamics

### Suitable Grade Level

Undergraduate Fluid Mechanics

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