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Flow Rate to Knots Calculator – Cross-Section Required

Convert cubic-feet-per-second flow to mean speed in knots using an explicit cross-sectional flow area.

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Enter the flow rate and wetted area through which the flow passes.

ft³/s
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EXAMPLE RESULT
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Calculate to see your answer.

Shared links contain the measurements you enter.

01

How to use the Flow Rate to Knots Calculator – Cross-Section Required

  1. Enter the flow rate and wetted area through which the flow passes. The area can be entered in square feet or square metres.
  2. Enter volumetric flow in cubic feet per second and the flow cross-sectional area, with its area unit.
  3. Select Calculate. Review the result and its working; if you change an input, calculate again before copying or sharing.
02

Cubic Feet per Second to Knots formula

Mean speed equals volumetric flow divided by cross-sectional area. The tool converts this speed to knots using the international nautical mile.

THE FORMULA Speed (knots) = flow (ft³/s) ÷ area (ft²) × 0.3048 × 3,600 ÷ 1,852

What the terms mean

Volumetric flow
Entered in ft³/s.
Flow cross-sectional area
A numeric input used by the displayed calculation.
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Cubic Feet per Second to Knots worked examples

Find mean speed from flow and area

A flow of 10 ft³/s passes through a 5 ft² cross-section. Find its mean speed in knots.

  1. Mean speed = volumetric flow ÷ cross-sectional area
  2. Knots = metres per second × 3,600 ÷ 1,852

Answer: 1.184968 knots. Mean speed: 2 ft/s; Mean speed: 0.6096 m/s.

Use a cross-section measured in square metres

A flow of 5 ft³/s passes through a 1 m² cross-section. Choose square metres for the area unit.

  1. Mean speed = volumetric flow ÷ cross-sectional area
  2. Knots = metres per second × 3,600 ÷ 1,852

Answer: 0.275218 knots. Mean speed: 0.464515 ft/s; Mean speed: 0.141584 m/s.

03

Flow Rate to Knots Calculator – Cross-Section Required FAQs

Can cubic feet per second convert directly to knots?

No. Divide by cross-sectional area to obtain speed before converting feet per second to knots.

Is this the speed of a boat?

It is the mean fluid speed through the stated area. A boat’s speed cannot be inferred from volume flow alone.

Measurement guide for Cubic Feet per Second to Knots

Volumetric flow and cross-sectional area must describe the same flow. The result is mean speed across that section, not speed through an individual point.

Assumptions and limits

Volumetric flow and speed are different quantities. A smaller flow area produces a higher mean speed for the same flow.

Mean velocity through the stated flow area. River or pipe velocity can vary across that area.

Check your result

Multiply mean speed by the cross-sectional area in matching units to recover the volumetric flow.

Sources and assumptions

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