Question

Uranium enrichment centrifuges spin very fast. If a centrifuge is 60 cm in diameter, and spins at 64,000 rpm (these are real estimates for modern enrichment centrifuges; exact specifications are classified), what is the centripetal acceleration experienced by the wall of the centrifuge in terms of the acceleration due to earth’s gravity (9.81 m/s2 )?

Answer #1

**Given d= 60 cm = 60*10^-2 m, R = 30*10^-2 m**

** W =
64000*2*3.14/60 = 6698.67 rad/s**

**cnetripetal force F = mv^2/ R = ma**

**centripetal acceleration a = v^2/R,
here V= R*W**

**
= R^2*W^2/R**

**
= R*W^2**

**
=30*10^-2*6698.67^2**

**
= 13461653.93 m/s^2**

**
= 1372237.91g m/s^2**

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 27 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago