Centrifuge diameter calculator (from acceleration & rpm)

[to-calculator-info][/to-calculator-info][calculator] [calculator-input name=“rpm” label=“speed” unit=“rpm”][/calculator-input] [calculator-input name=“a” label=“acceleration” unit=“g”][/calculator-input]

[calculator-expression name=“a_ms2” formula=“a*9.80665” unit=“g”] [calculator-expression name=“rps” formula=“rpm/60” unit=“rps”] [calculator-expression name=“r” formula=“a_ms2/(4*PI*PI*rps*rps)” unit=“m”] [calculator-expression name=“d” formula=“r*2” unit=“m”]

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

[/calculator]

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