An apparatus of the figure below is designed to study insects at an acceleration of magnitude 940 m/s2 (= 96g). The apparatus consists of a 2.0-m rod with insect containers at either end. The rod rotates about an axis perpendicular to the rod and at its center.

Question

(a) How fast does an insect move when it experiences a radial acceleration of 940 m/s2?

(b) What is the angular speed of the insect?

Answer 1

The centripetal acceleration at the ends of the rod is
r w^2,
where a is the angular velocity in radian/sec and r = 1 meter.
Set that equal to 940 m/s^2 and solve for w. (That will be the answer to b)

For the speed of the insect , v = r w

Answer 2

30.11