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Force needed to change speed

Engineering calculators (Beta)

Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.

1. Match the diagram to your question

Force needed to change speedv

This example accelerates along a straight line; positive is right.

Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.

2. Example inputs

Moving mass m
What goes here?

This is mass, including fixtures or loads that move with it where required. Kilograms describe mass; newtons describe force.

10 kg
Initial velocity v₀
What goes here?

Distance travelled per time. Check whether the field asks for initial, final or constant speed.

0 m/s
Final velocity v₁
What goes here?

Distance travelled per time. Check whether the field asks for initial, final or constant speed.

1 m/s
Acceleration time t
What goes here?

Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.

0.5 s

These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.

3. Results for this example

Acceleration a
2 m/s²
Net acceleration force (signed)
20 N
Displacement (signed)
0.25 m

Velocity change divided by duration gives acceleration. Multiplying by mass gives net acceleration force; friction and slope resistance are separate.

4. Which formula is used?

a = (v₁−v₀)/t, F = ma, s = (v₀+v₁)t/2

Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.

Assumptions and exclusions

Straight-line constant acceleration with signed velocities. Force is net acceleration force, excluding friction, slope, gravity, rotational inertia and drive efficiency.

Enter your own conditions →

“Try these example inputs” loads the fixed example. “Enter your own conditions” opens the calculator normally.