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Centrifuge. An advertisement claims that a centrifuge takes up only 0.127 m of bench space but can produce a radial acceleration of 3000g at 5000 revs/min. Calculate the required radius of the centrifuge. Is the claim realistic?

Short Answer

Expert verified

Thus, The required radius of the centrifuge is 0.107 m.

Step by step solution

01

Step:-1 explanation

We know that g=9.8ms2

role="math" localid="1664352803202" arad=3000g=30009.80ms2=29400ms2

02

Step:-2 concept

We know that the linear angular equation,

arad=rÓ¬2r=aradÓ¬2

( here Ó¬in rads)

03

Step:- 3 calculation

Here we changeÓ¬ value . we get ,

Ó¬=5000revmin1min60s2Ï€°ù²¹»å1rev=523.6rads

r=aradÓ¬2=29.400ms2523.6rads22=0.107m

The required radius of the centrifuge is 0.107m.

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