You are designing a centrifuge to spin at a rate of 15,850 rev/min. (a) Calculat

Question

You are designing a centrifuge to spin at a rate of 15,850 rev/min. (a) Calculate the maximum centripetalacceleration that a test-tube sample held in the centrifuge arm15.8 cm from the rotation axis mustwithstand.
m/s2

(b) It takes 1 min, 13 s for the centrifuge to spin up to its maximum rateof revolution from rest. Calculate the magnitude of the tangentialacceleration of the centrifuge while it is spinning up, assumingthat the tangential acceleration is constant.
m/s2
(a) Calculate the maximum centripetalacceleration that a test-tube sample held in the centrifuge arm15.8 cm from the rotation axis mustwithstand.
m/s2

(b) It takes 1 min, 13 s for the centrifuge to spin up to its maximum rateof revolution from rest. Calculate the magnitude of the tangentialacceleration of the centrifuge while it is spinning up, assumingthat the tangential acceleration is constant.
m/s2

Explanation / Answer

Given that           =15850 rev/min = 1658.9 rad / s a) a = 2 r = 1658.9 2 *0.158 = 434842.9 m /s2 b) at = (1658.9 / 60-13) * 0.157 = 5.54m/s2

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