A centrifuge 13.6 cm in diameter speed up from rest and achieves 3000 rev/min in 7.9 s. Find the distance (in m) a point on the edge of a centrifuge travels in that time.

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A centrifuge 13.6 cm in diameter speed up from rest and achieves 3000 rev/min in 7.9 s. Find the distance (in m) a point on the edge of a centrifuge travels in that time.

Expert Solution
Step 1

Given Data:

The diameter of a centrifuge is, d=13.6 cm

The final angular speed of a centrifuge is, ωf=3000 rev/min

The time required to reach final angular speed is, t=7.9 s

 

The expression for the second rotational kinematic equation is given as,

θ=ω0t+12αt2.................(1)

Here, ω0 is the initial angular speed, α is the angular speed and is the time. 

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