A laboratory centrifuge rotates at 6000 rpm. Called g the acceleration of gravity, what is worth, approximately as a function of g (consider g = 10 m/s²), the module of the centripetal acceleration of a sample that rotates at a distance of 12.5 cm from the center of rotation?
A) 5000 g
B) 80 g
C) 125 g
D) 630 g
E) 1250 g
this is from this years test, the answer is A), i’m not sure where i went wrong?
a centrifuge has uniform circular motion:
so ac = r * angular velocity²
r = 0,125m
10 rpm is about = 1 rad/s
6000 rpm = 600 rad/s
ac = 0,125 * 600² = 45000
i’m not sure what they mean by “as a function of g”, this is what i could think of to fit the answer: 45000 = 4500 * 10 = 4500 * g
i still don’t know how to find 5000, any ideas?