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A garden pipe has an internal diameter o...

A garden pipe has an internal diameter of 4 cm. It is connected to a lawn sprinkler that consists of 24 holes at the other end. Each hole is of radius 0.06 cm. If the water in the pipe has a speed of 80 cm `s^(-1)`, find its speed through sprinkler holes.

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To solve the problem, we will use the principle of conservation of mass, which states that the volume flow rate must remain constant throughout the system. This means that the volume flow rate in the pipe must equal the total volume flow rate through the sprinkler holes. ### Step-by-step Solution: 1. **Calculate the cross-sectional area of the garden pipe (A1)**: - The internal diameter of the pipe is given as 4 cm. Therefore, the radius (r1) is: \[ r_1 = \frac{4 \, \text{cm}}{2} = 2 \, \text{cm} ...
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