If a plant is allowed to grow from seed on a rotating platform, it will grow at

Question

If a plant is allowed to grow from seed on a rotating platform, it will grow at an angle, pointing inward.

Part A

Calculate what this angle will be (put yourself in the rotating frame) in terms of g, r, and .

Express your answer in terms of the variables r, , and appropriate constants.

= Part A Calculate what this angle will be (put yourself in the rotating frame in terms of g, r, and w Express your answer in terms of the variables r, w, and appropriate constants 1 W r tan. Submit My Answers Give U Incorrect, Try Again, 8 attempts remaining, no points deducted The correct answer does not depend on: w.

Explanation / Answer

Since the plant is allowed to grow on a rotating platform, it will be under the influence of two forces, that the gravity actinbg vertically down and centripital force twowards the center of the circlular path.

a(gravity) = g (along y)

a(centripital) = v^2/r = w^2 r^2/r = w^2 r (along x)

The angle that the plant will grow will be

tan(theta) = a(gravity)/a(centripital)

tan(theta) = g/w^2 r

theta = tan -1 [g/(w^2 r)]

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