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Force-Velocity Curve

Maximum force a muscle can produce drops as contraction speed rises - the inverse relationship that defines training zones.

A free, animated force-velocity curve you can read here or embed on any website, from Scrollchart.

Force-Velocity Curve

Force-Velocity CurveF = F0 x (1 - v/vmax)

Maximum force on the Y-axis vs contraction velocity on the X-axis, traced as a hyperbolic curve. The high-force/low-velocity end is the maximal-strength zone (1-3RM lifts), the mid-range is the strength-speed and speed-strength zones, and the low-force/high-velocity end is the maximal-velocity zone (unloaded throws and jumps). Training zones are shaded along the curve. The animation shows how a heavier weight forces a slower bar speed, walking a marker down the curve.

Good for

  • Articles on velocity-based training
  • Programming pieces explaining why power and strength need different rep schemes
  • Sport-specific strength content

Source & accuracy

This force-velocity curve is an editorial illustration built to represent the concept accurately. Where it shows figures, they are typical or representative values chosen to make the relationship clear, not a single underlying dataset. The diagram and its explainer are reviewed and maintained centrally, and updated over time as understanding improves.

The inverse relationship in muscle

The force-velocity curve describes how the maximal force a muscle can produce during a concentric (shortening) contraction falls as the speed of shortening increases. At very low velocity, near isometric, force is highest; at high velocity, force drops toward zero. The relationship was characterized by A.V. Hill and is hyperbolic for concentric actions.

Eccentric (lengthening) contractions behave differently: force can exceed the isometric maximum as lengthening velocity increases, which is why the full curve is not symmetric around the isometric point.

How it maps to training

Coaches use the curve to target qualities along the spectrum. Heavy, slow lifts train the high-force end; light, fast movements such as jumps and throws train the high-velocity end; ballistic and plyometric work targets the middle power region where force times velocity peaks. Programming across the curve is a common periodization strategy. This is general information, not individualized medical or rehabilitation advice.

Embed this diagram

Add this animated force-velocity curve to your own site. Copy one line of HTML, or use the embed builder for theme and sizing options.

Reference

What this is
A free, embeddable, animated force-velocity curve for any website.
Who uses it
Fitness blogs, Coaches & personal trainers, Bodybuilding & physique sites, Biohacker blogs.
How to embed
Copy one line of HTML. No signup. No watermark. Works in WordPress, Webflow, Ghost, Substack, plain HTML.
File size
iframe embed, ~80 KB gzipped (loads on demand, does not block your page paint).
License
Free forever. Editorial explainer text included; updated centrally over time.

Embed format options

Copy the universal HTML snippet, the WordPress shortcode, or an iframe fallback - see the WordPress plugin page for details. Any format keeps the same Core Web Vitals profile and the same explainer text.

Embed snippet
<div data-scrollchart="force-velocity-curve" data-scrollchart-v="1"></div>
<script src="https://scrollchart.com/embed.js" async></script>

Frequently asked questions

Where can I get a free animated "Force-Velocity Curve" for my website?
Scrollchart provides "Force-Velocity Curve" as a free, embeddable animated diagram you can add to any website with one line of HTML. No signup is required and there is no watermark. The diagram and its explainer text are served from scrollchart.com, so the embed stays current without any maintenance on your end.
How do I embed a force-velocity curve diagram in a health or wellness blog?
Copy the HTML snippet from the Scrollchart diagram page and paste it into any post or page in your CMS. It works in WordPress, Webflow, Ghost, Substack, and plain HTML without any plugin or account. The diagram renders as animated SVG directly in your page, so search engines can index the accompanying explainer text.