An apparatus of the figure below is designed to study insects at an acceleration

Question

An apparatus of the figure below is designed to study insects at an acceleration of magnitude 990 m/s2 (= 101g). 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.

An apparatus of the figure below is designed to study insects at an acceleration of magnitude 990 m/s2 (= 101g). 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. How fast does an insect move when it experiences a radial acceleration of 990 m/s2? What is the angular speed of the insect?

Explanation / Answer

(a) If radial acceleration is the same as centripetal acceleration, then: let @=centripetal acceleration;
@=v^2/r
@r=v^2
squareroot(@r)=v
v = squareroot(990m/s2 X 1m) = squareroot(990) (m/s)
(b) w = angular speed ; v=wr
w = v/r = squareroot(990) / 1m = squareroot(990) (rad/s)

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