Question

A centrifuge is used to test space pilots. The centrifuge spins with a centripetal acceleration of 3.04 g. If the length of the centrifuge's arm is 21 m, what is the speed of the centrifuge?

A. 21 m/s
B. 25 m/s
C. 27 m/s
D. 29 m/s

Answer 1

here the force responsible for making the centrifuge spin about a point is the centripetal force.according to newton's second law, F=mxa
but centripetal force is given by F=(mv^2)/r
equate these two equations and solve for v
r=radius of the circle in which the object is moving

Answer 2

a = 3.04 g = v^2 / r
g = 9.8, m/s^2

solve for a

Answer 3

I mean, solve for v.

Answer 4

what's the equation id use to solve for v? @douglaswinslowcooper

Answer 5

v = sqrt(3.04 r g)

You should be able to do this kind of solution now. Put the unknown on one side of the equation, then do what is needed to get it as , for example, v = .....

Answer 6

I got 29 m/s (d)
Is that correct? @douglaswinslowcooper

Answer 7

I got 25 = sqrt[(3.04)(9.8)(21)]