Question

Water with a density of 1,000 kg/m³ flows through a 2.00 cm diameter pipe with a velocity of 2.40 m/s. what is the volume flow rate?

Answer 1

The volume flow rate of water through a pipe can be calculated using the equation: Volume flow rate = Cross-sectional Area x Velocity.

Step-by-step explanation:

The volume flow rate of water can be calculated using the equation:

Volume flow rate = Cross-sectional area × Velocity

To find the cross-sectional area, we need to use the formula:

Area = π× (radius)²

Given that the diameter of the pipe is 2.00 cm, the radius would be 1.00 cm or 0.01 m. Therefore, the cross-sectional area would be:

Area = π×(0.01 m)²

Now, substituting the values into the equation for volume flow rate:

Volume flow rate = (π×(0.01 m)²) × 2.40 m/s

Simplifying the equation will give us the volume flow rate in units of m³/s.