Spin Rate Sets Acceleration - Biophysical Separation and Detection Step by Step

Centrifugal acceleration equals the spin-rate scalar squared times the radius, so both speed and arm length set the separating force. With rate 2 per second and radius 3 m, the acceleration is 2 squared times 3 = 12 m/s^2 exactly for the stated toy centrifuge ledger; real centrifuge measurements have rotor-radius calibration, speed readback limits, temperature and viscosity effects, imbalance, and measurement uncertainty.

A centrifuge training model checks acceleration from spin rate and radius. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Spin rate and radius set acceleration

The checked spin-rate scalar is 2 per second and the radius is 3 m.

u=2\ \text{per s},\quad r=3\ \text{m}

Acceleration is rate squared times radius

The training acceleration is 12 metres per second squared. Real RPM conversion factors are outside this model.

a=u^{2}r=12\ \text{m}/\text{s}^{2}