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Constant Force Work: Length Calculator

Constant Force Work: Calculate length from Work magnitude, Force magnitude, Acute angle. Check the formula, input units and worked result on this page.

Enter your values

J
Formula symbol: W. Required unit: J. Must be greater than zero.
N
Formula symbol: F. Required unit: N. Must be greater than zero.
°
Formula symbol: θ. Required unit: °. Must be greater than zero. Allowed range: 1E-9–89.999999.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Force and straight displacement are constant; use the acute angle between them. Negative-work cases are outside this branch.
Example result
Length
3.53553391 m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use constant force work with the units stated beside the fields. This form solves for length; enter the known quantities in Work magnitude, Force magnitude, Acute angle.

Inputs and units
Constant Force Work: Length Calculator · Inputs and units
InputExample valueWhat to enter
Work magnitude7.5 JFormula symbol: W. Required unit: J. Must be greater than zero.
Force magnitude3 NFormula symbol: F. Required unit: N. Must be greater than zero.
Acute angle45 °Formula symbol: θ. Required unit: °. Must be greater than zero. Allowed range: 1E-9–89.999999.
L = (W / (F × cos((θ × (π/180)))))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Work magnitude
7.5 J
Force magnitude
3 N
Acute angle
45 °

Complete example results

Length
3.53553391 m

Reading the result

The result solves for length from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the length result?

This model uses positive magnitudes. Force and straight displacement are constant; use the acute angle between them. Negative-work cases are outside this branch.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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