12-175. A particle P moves along the spiral path r =
Chapter 12, Problem 12-175(choose chapter or problem)
A particle P moves along the spiral path \(r=(10 / \theta) \mathrm{ft}\), where \(\theta\) is in radians. If it maintains a constant speed of \(v=20\ \mathrm{ft}/\mathrm{s}\), determine \(v_{r} \text { and } v_{\theta}\) as functions of \(\theta\) and evaluate each at \(\theta=1\mathrm{\ rad}\).
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