$1\mathrm{.}5$ Theory Questions

$(1$ pt$)$ A particle moves in a circle with a radius of $r=1cm.$ Determine the arc length traversed by the particle as it sweeps out an angle $=450.$ Pay close attention to the units of your answer.

$(1$ pt $)$ The radius of Earth is $R$~~$4000mi,$ and it completes one full rotation about its axis with a period of $T=24hr.$ East Lansing is located about $42\mathrm{.}7$ north of the equator. For uniform circular motion, the period is related to the angular speed by $T=2\frac{}{}.$ Use these facts and Equation $2$ to determine your tangential speed caused by the rotation of the earth.

$5$

$(1$ pt