Calculate Velocity in a Channel - What is the velocity in the grit channel in $$ (\mathrm{m} / \mathrm{s}) $$ given - Flow $$ =10,000 \mathrm{~m}^{3} / \mathrm{d} $$ - Width $$ =1.0 \mathrm{~m} $$ - Depth $$ =0.5 \mathrm{~m} $$

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1. **Determine the cross-sectional area of the channel**

The area $$ A $$ is given by the product of the channel width and depth:
   $$
   A = \text{width} \times \text{depth} = 1.0 \, \mathrm{m} \times 0.5 \, \mathrm{m} = 0.5 \, \mathrm{m}^2
   $$

2. **Convert the flow rate from cubic meters per day to cubic meters per second**

The flow rate is given as $$ Q = 10\,000 \, \mathrm{m}^3/\mathrm{d} $$. Since there are $$ 86\,400 $$ seconds in one day, the flow rate in $$\mathrm{m}^3/\mathrm{s}$$ is:
   $$
   Q = \frac{10\,000 \, \mathrm{m}^3}{86\,400 \, \mathrm{s}} \approx 0.1157 \, \mathrm{m}^3/\mathrm{s}
   $$

3. **Calculate the velocity of the channel**

The velocity $$ v $$ can be calculated using the formula:
   $$
   v = \frac{Q}{A}
   $$
   Substitute the values:
   $$
   v = \frac{0.1157 \, \mathrm{m}^3/\mathrm{s}}{0.5 \, \mathrm{m}^2} \approx 0.2314 \, \mathrm{m}/\mathrm{s}
   $$

Thus, the velocity in the grit channel is approximately $$ 0.231 \, \mathrm{m}/\mathrm{s} $$.
The velocity in the grit channel is approximately $$ 0.231 \, \mathrm{m}/\mathrm{s} $$.

Calculate Velocity in a Channel

What is the velocity in the grit channel in
given

Flow

Width

Depth

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Calculate Velocity in a Channel What is the velocity in the grit channel in given Flow Width Depth