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Calculate the velocity in the vessel with the flow of
50cm3/sec and radius of 12mm.

1 Answer

5 votes

Answer:

Performing the calculations:

A ≈ 0.0045238934 m²

v ≈ 11.041 m/sec (approximately)

Step-by-step explanation:

To calculate the velocity in the vessel, we need to convert the flow rate from cm³/sec to m³/sec and calculate the cross-sectional area of the vessel. With these values, we can then determine the velocity using the equation:

Velocity (v) = Flow rate (Q) / Cross-sectional area (A)

Given:

Flow rate (Q) = 50 cm³/sec

Radius (r) = 12 mm

First, let's convert the flow rate from cm³/sec to m³/sec:

Q = 50 cm³/sec = 50 * (1/1000) m³/sec = 0.05 m³/sec

Next, we can calculate the cross-sectional area of the vessel using the radius:

A = π * (r^2)

Now, let's calculate the velocity:

v = Q / A

Given that the radius (r) is in millimeters, we need to convert it to meters before performing the calculation.

Let's proceed with the calculations:

Given:

Flow rate (Q) = 0.05 m³/sec

Radius (r) = 12 mm = 0.012 m

Calculate the cross-sectional area (A):

A = π * (r^2)

Calculate the velocity (v):

v = Q / A

Performing the calculations:

A ≈ 0.0045238934 m²

v ≈ 11.041 m/sec (approximately)

User Jlyonsmith
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