Net force calculator

Add planar force components, then find magnitude √(Fx² + Fy²) and direction atan2(Fy, Fx).

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Spaces separate values; 1,000 is one value.

Force x-components (N)

Matching y-components (N)

Answer

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Add planar force components, then find magnitude √(Fx² + Fy²) and direction atan2(Fy, Fx).

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Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

Forces must share one coordinate system and act on the same object. This sums forces, not torques. A zero resultant has no direction.

In a list, use spaces, new lines, semicolons, or commas followed by a space. A comma between groups of three digits is a thousands separator.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Net force calculator

Add planar force components, then find magnitude √(Fx² + Fy²) and direction atan2(Fy, Fx).

Forces must share one coordinate system and act on the same object. This sums forces, not torques. A zero resultant has no direction.

Next: Force calculator

A worked example

Example inputs: force x-components (n) = 3, 0, matching y-components (n) = 0, 4. Net force magnitude (N) = 5.

Before you use the result

Forces must share one coordinate system and act on the same object. This sums forces, not torques. A zero resultant has no direction.

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ToolOctopus. “Net force calculator.” Updated 2026-09-26. https://tooloctopus.com/net-force-calculator.

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