(Solved): An object undergoes uniform circular motion at a constant radius with period T (i.e., it makes one ...

An object undergoes uniform circular motion at a constant radius with period $T$ (i.e., it makes one complete revolution around the circle in time $T$ ). The tangential speed of the object while it rotates is $v_T$. Suppose the motion is changed so that the period is $T_{\text{new }}=\frac{1}{3}T$ but the radius is kept the same. What is the new tangential speed, $v_{T,\text{ new }}$ of the object? (a) $v_{T,\text{ new }}=9v_T$ (b) $v_{T,\text{ new }}=3v_T$ (c) $v_{T,\text{ new }}=\frac{1}{9}{v}_T$ (d) $v_{T,\text{ new }}=\frac{1}{3}{v}_T\times$ (e) $v_{T,\text{ new }}=v_T$ Select all possible options that apply. There is exactly 1 correct option in the list above.