Question

You are working in a biology lab and learning to use a new ultracentrifuge for blood tests. 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.

Answer 1

no, the claim is not correct

Step-by-step explanation:

You are working in a biology lab and learning to use a new ultracentrifuge for blood tests. 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.

centripetal force is the force that is needed to keep an object undergoing a circular motion in a circular path .

a centripetal force is responsible for centripetal acceleration

a=v^2/r

a=470^2/0.15

a=1472666.66m/s^2

for the radial acceleration

150000*9.8

1470000m/s^s

the two differ by

da=1472666.66m/s^2-1470000m/s^2

da=2666.66m/s^2

therefore the claim is not correct

Answer 2

Yes, correct

Step-by-step explanation:

velocity, v = 470 m/s

radius, r = 0.15 m

The radial acceleration is the centripetal acceleration which always acts towards the centre of the circular centrifuge.

The formula for the centripetal acceleration is given by

`a =(v^(2))/(r)`

`a =(470^(2))/(0.15)`

a = 1472666.667

a = 150272.1 g

According to the question, we can get the acceleration as mentioned. So the claim is correct.