Problem $20\mathrm{.}51$

Review

At the instant shown, the arm $OA$ of the conveyor belt is rotating about the $z$ axis with a constant angular velocity ${}_1=6\mathrm{.}5ra\frac{d}{s},$ while at the same instant the arm is sotating upward at a constant rate ${}_2=3\mathrm{.}6ra\frac{d}{s}.($Figure $1)$

Figure

$1$ of $1$

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$q,$

Part A

If the conveyor is running at a rate $r^{}=5f\frac{t}{s},$ which is increasing at $r^{}=8f\frac{t}{s^2},$ determine the velocity of the package $P$ at the instant shown. Neglect the size of the package

Enter the $x,y,$ and $z$ components of the velocity in feeet per second to three significant figures separated by commas.

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A$f\frac{t}{s}$

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Part B

Determine the acceleration of the package $P$ at the instant shown.

Enter the $x,y,$ and $z$ components of the acceleration in feet per second squared to three significant figures separated by commas.

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$f\frac{t}{s^2}$