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**A Biophysicist wants to separate sub-cellular particles with an analytic ultra-centrifuge. The biophysicist must determine the magnitude of the centripetal acceleration provided by the centrifuge at various speeds and radii.**

Calculate the magnitude of the centripetal acceleration at 8.4 cm from the centre of the centrifuge when it is spinning at 6.0*10^4 rpm. Express your answer in terms of g (acceleration due to Earth's gravity).

Calculate the magnitude of the centripetal acceleration at 8.4 cm from the centre of the centrifuge when it is spinning at 6.0*10^4 rpm. Express your answer in terms of g (acceleration due to Earth's gravity).

**Given:**

r = 0.084m

f = 60000 / 60s

**Required:**ac

**Analaysis:**

ac = 4pie^2 * r * f^2

**Solution:**

ac = 4(3.14)^2 * 0.084m * (60000 / 60s)^2

= 3312825.6 m / s^2

**Now I am a bit unclear as to how to express this in terms of g (Earth's gravity).**

I could factor in 9.8 m / s^2 but that only changes the direction of the ac force by .001 m / s2

/F/ = /ac^2/ + /Fg^2/

I think I am approaching this from the wrong angle. Any suggestions?

I could factor in 9.8 m / s^2 but that only changes the direction of the ac force by .001 m / s2

/F/ = /ac^2/ + /Fg^2/

I think I am approaching this from the wrong angle. Any suggestions?