Question

For a biological sample in a 1.0-m radius centrifuge to have a centripetal
acceleration of 25g, (g = 9.8 m/s2) its speed must be:
A. 11 m/s
B. 16 m/s
C. 50 m/s
D. 122 m/s
E. 245 m/s

Answer 1

Answer on Question#40948, Physics, Mechanics - Kinematics - Dynamics Question: For a biological sample in a 1.0-m radius centrifuge to have a centripetal acceleration of 25g, (g = 9.8 m/s2) its speed must be: A. 11 m/s B. 16 m/s C. 50 m/s D. 122 m/s E. 245 m/s

Solution. The formula for centripetal acceleration is

$a=\frac{v^{2}}{r}$

So, if we want it to be equal to $25g$,

$25g=\frac{v^{2}}{r}$

and velocity is

$v=\sqrt{25gr}=5\sqrt{gr}=5\sqrt{9.8\cdot 1}\approx 16\,m/s$