Centrifuge acceleration calculator (from rpm and diameter)

Calculate the acceleration from its rotational speed in RPM and its diameter using this online calculator - formula included.

[to-calculator-info][/to-calculator-info][calculator] [calculator-input name=“rpm” label=“speed” unit=“rpm”][/calculator-input] [calculator-input name=“d” label=“centrifuge diameter” unit=“m”][/calculator-input]

[calculator-expression name=“rps” formula=“rpm/60” unit=“rps”] [calculator-expression name=“r” formula=“d/2.0” unit=“m”] [calculator-expression name=“a_ms2” formula=“4*PI*PI*r*rps*rps” unit=“m/s²”] [calculator-expression name=“a” formula=“a_ms2/9.80665” unit=“g”]

[calculator-output name=“acceleration” unit=“g”]A centrifuge with a diameter of <%= format(d, “m”) %> spinning at <%= format(rpm, “rpm”) %> has an acceleration of <%= format(a, “g”) %> (= <%= format(a_ms2, “m/s²”) %>) [/calculator-output]

[/calculator]

$$n[rps] = \frac{n[rpm]}{60\frac{s}{min}}$$$$a[m/s²] = 4\cdot\pi^2\cdot(\frac{d}{2})\cdot(n[rps])²$$$$a[g] = \frac{a[m/s²]}{9.80665\frac{m/s²}{g}}$$