What Is the Correct Calculation for Angular Speed in a Centrifuge Problem?

[Muneerah]

Homework Statement

What angular speed (in revolutions per
minute) is needed for a centrifuge to produce
an acceleration of 675 times the gravitational
acceleration 9.8 m/s² at a radius of 15.4 cm?
Answer in units of rev/min.

Homework Equations

a_c=4 pi² r f²

The Attempt at a Solution

ok so first I found the acceleration which is 110.25 m/m² and I converted the radius to meters r= .154 m then I solved for the frequency = ((110.25)/(4pi².154))^1/2 = 1979.137 rpm
and my answer was wrong. Can you please tell me what error I made. thank you

 

[xcvxcvvc]

Homework Statement

What angular speed (in revolutions per
minute) is needed for a centrifuge to produce
an acceleration of 675 times the gravitational
acceleration 9.8 m/s² at a radius of 15.4 cm?
Answer in units of rev/min.

Homework Equations

a_c=4 pi² r f²

The Attempt at a Solution

ok so first I found the acceleration which is 110.25 m/m² and I converted the radius to meters r= .154 m then I solved for the frequency = ((110.25)/(4pi².154))^1/2 = 1979.137 rpm
and my answer was wrong. Can you please tell me what error I made. thank you

9.81 m/s^2 * 675 does not equal 110.25 m/m²

 

[Muneerah]

Yeah, I fixed the acceleration and I got 3906900m/m² and blugged it in again, and my answer was still wrong.

 

[sezw]

umm acceleration is m/s/s not m/m/m

 

[Muneerah]

I had to convert it, because they're asking for the angular speed in rev/minute

 

[sezw]

what kind of physics are you taking?