The mechanism within a machine is constructed so that the pin follows the path described by the equation $r=(300+$kcos$)mm.$ Suppose $k=230.$

$($Figure $1)$

Part A

If ${}^{}=0\mathrm{.}5ra\frac{d}{s}$ and $\frac{?}{\text{b}\text{a}\text{r}}()=0,$ determine the magnitude of the pin's velocity when $=30.$ Neglect the size of the pin.

Express your answer to three significant figures and include the appropriate units.

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Part B

If ${}^{}=0\mathrm{.}5ra\frac{d}{s}$ and ${}^{}=0,$ determine the magnitude of the pin's acceleration when $=30.$ Neglect the size of the pin.

Express your answer to three significant figures and include the appropriate units.

$a=$

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