Question

You are working in a biology lab and learning to use a new ultracentrifuge for blood ts. The specifications for the centrifuge say that a red blood cell rotating in the ultracentrifuge moves at 470 m/s and has a radial acceleration of 150,000 g's (that is, 150,000 times 9.8 m/s2). The radius of the centrifuge is 0.15 m. You wonder if this claim is correct.
What is the radial acceleration of the ultra-centrifuge using calculations ?

Answer 1

Answer:

The radial acceleration is  $a_r = 1472667 \ m/s^2$

Explanation:

From the question we are told that

      The velocity of the red blood cell is  $v_r = 470 \ m/s$

       The radial acceleration of the red blood cell is $a_r = 150000g = 150000*9.8 = 1470000 \ m/s^2$

       The radius of the centrifuge is  $r = 0.15 \ m$

Generally radial acceleration is  mathematically represented as

      $a_r = \frac{v^2}{r}$

substituting values

     $a_r = \frac{470^2}{0.15}$

     $a_r = 1472667 \ m/s^2$