An ant crawls on the surface of a ball of radius b in such a manner that
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Question:
An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations.
r = b ϕ = ωt θ = π/2 [1 + (1/4) cos (4ωt)]
Find the speed of the ants as a function of the time t. What sort of paths is represented by the above equations?
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