While giving a patient a blood transfusion, a bottle is set up to pass the blood through a needle of length 2 cm and internal diameter 0.35 mm. If the level of blood is 1.4 m above needle, calculate the rate of flow and speed of the blood coming out of the needle. Take, coefficient of viscosity of blood =0.238 poise. Density of blood `=1020" kg/m"^(3)`.

Explanation

To solve the problem of calculating the rate of flow and speed of blood coming out of the needle during a transfusion, we can follow these steps:

### Step 1: Convert Given Measurements to Consistent Units
- Length of the needle (L) = 2 cm = 0.02 m
- Internal diameter of the needle (d) = 0.35 mm = 0.00035 m
- Radius of the needle (r) = d/2 = 0.000175 m
- Height of blood above the needle (h) = 1.4 m
- Coefficient of viscosity of blood (μ) = 0.238 poise = 0.238 × 0.1 Pa·s = 0.0238 Pa·s (since 1 poise = 0.1 Pa·s)
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