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An advertisement claims that a centrifuge takes up only .127m of bench space but can produce a radial acceleration of 2400g at 4000 rev/m.
calculate the required radius of the centrifuge.


Sagot :

Answer:

[tex]r=0.13m[/tex]

Explanation:

From the question we are told that:

Distance [tex]d=0.127[/tex]

Acceleration [tex]a=2400g[/tex]

Angular Velocity [tex]\omega=4000rev/m[/tex]

Generally the equation for Acceleration is mathematically given by

 [tex]a=\omega^2*r[/tex]

 [tex]2400g = (\frac{ 4000 * 2 }{pi /60 })^2 * r[/tex]

 [tex]r=0.13m[/tex]