A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth

Practice Questions

Q1
A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth is 3 m, what is the discharge?
  1. 60 m³/s
  2. 30 m³/s
  3. 20 m³/s
  4. 10 m³/s

Questions & Step-by-Step Solutions

A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth is 3 m, what is the discharge?
  • Step 1: Identify the velocity of the river, which is given as 2 m/s.
  • Step 2: Identify the width of the river, which is given as 10 m.
  • Step 3: Identify the depth of the river, which is given as 3 m.
  • Step 4: Calculate the area of the river using the formula: Area = Width × Depth.
  • Step 5: Substitute the values into the area formula: Area = 10 m × 3 m.
  • Step 6: Calculate the area: Area = 30 m².
  • Step 7: Use the discharge formula: Discharge = Velocity × Area.
  • Step 8: Substitute the values into the discharge formula: Discharge = 2 m/s × 30 m².
  • Step 9: Calculate the discharge: Discharge = 60 m³/s.
  • Discharge Calculation – Discharge is calculated by multiplying the velocity of the river by the cross-sectional area (width × depth).
  • Area of a Rectangle – The area is determined by multiplying the width and depth of the river.
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