Centrifuge Rate Three Row Scan - Biophysical Separation and Detection Step by Step

Scanning spin rate separately makes the centrifuge square law visible. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One per second gives two acceleration units

Hold radius at 2 m. Spin rate 1 per second gives acceleration 2 metres per second squared.

a=u^{2}r=1\ \text{Hz}^{2}\cdot2\ \text{m}=2\ \text{m}/\text{s}^{2}

Doubling rate quadruples the acceleration

Spin rate 2 per second at the same radius gives acceleration 8 metres per second squared. This is the square-law contrast row.

a=u^{2}r=2\ \text{Hz}^{2}\cdot2\ \text{m}=8\ \text{m}/\text{s}^{2}

Three per second makes eighteen acceleration units

Spin rate 3 per second gives acceleration 18 metres per second squared. The three rows separate rate-squared physics from radius effects shown in the previous chapter.

a=u^{2}r=3\ \text{Hz}^{2}\cdot2\ \text{m}=18\ \text{m}/\text{s}^{2}