Answer :
ANSWER:
0.076 cm
STEP-BY-STEP EXPLANATION:
Given:
a = 0.75 cm/s^2
angular velocity = 0.5 rps
[tex]\begin{gathered} \omega=0.5\cdot2\pi\text{ rad/s} \\ \omega=\pi\text{ rad/s} \end{gathered}[/tex]If the distance of record from the center be r, then as we know:
[tex]\begin{gathered} a=\omega^2\cdot r \\ \text{ we solve for r} \\ r=\frac{a}{\omega^2} \\ r=\frac{0.75}{(3.14)^2} \\ r=0.076cm \end{gathered}[/tex]Therefore, this distance would be 0.076 centimeters