Water is discharged from a pipe of cross-section area `3.2cm^(2)` at the speed of 5m//s. Calculate the volume of water discharged:
in `cm^(3)` per sec

Answer

To calculate the volume of water discharged from a pipe per second, we can follow these steps:

### Step 1: Understand the given data
- Cross-sectional area of the pipe (A) = 3.2 cm²
- Speed of water (v) = 5 m/s

### Step 2: Convert the speed from meters per second to centimeters per second
Since we need the final volume in cm³ per second, we should convert the speed from meters to centimeters:
- 1 meter = 100 centimeters
- Therefore, 5 m/s = 5 × 100 cm/s = 500 cm/s

### Step 3: Use the formula for volume flow rate
The volume flow rate (Q) can be calculated using the formula:
\[ Q = A \times v \]
Where:
- Q = volume flow rate in cm³/s
- A = cross-sectional area in cm²
- v = speed in cm/s

### Step 4: Substitute the values into the formula
Now, substitute the values we have:
\[ Q = 3.2 \, \text{cm}^2 \times 500 \, \text{cm/s} \]

### Step 5: Calculate the volume
Now, perform the multiplication:
\[ Q = 3.2 \times 500 = 1600 \, \text{cm}^3/\text{s} \]

### Final Answer
The volume of water discharged is **1600 cm³ per second**.

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