An ultracentrifuge accelerates from rest to 100,000 rpm in 1.30 min. What is the radial acceleration, in m/s^2, of a point 11.55 cm from the axis of rotation at full rpm?

Answer 1

1. Convert 100,000 rpm to radians per second: The angular velocity, ω, is 100000* 2pi/60 rad/s
2. Convert cm to meters: 11.55 cm=0.1155 m11.55 cm=0.1155 m

For an object traveling at speed v in a circular path with radius r, the magnitude of centripetal acceleration is

Ac=v2/r; . Substituting v=rω into the equation, we have Ac= rω^2. Plug in r and ω from (1) and (2), then you can get the answer.