Centrifuge acceleration changes with the square of the spin rate. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The second rate is doubled

The rate changes from 2 per second to 4 per second.

ubua=2\frac{u_b}{u_a}=2
Centrifuge accelerationSpin rate and radius set the training acceleration.rotorradiusaccelerationcontrast

Doubling rate quadruples acceleration

Because acceleration uses the square of the rate, the factor is 4. The acceleration changes from 12 metres per second squared to 48 metres per second squared.

(ubua)2=4\left(\frac{u_b}{u_a}\right)^{2}=4
Centrifuge accelerationSpin rate and radius set the training acceleration.rotorradiusaccelerationcontrast