The angular velocity of the disk is defined by $=(7t^2+4)ra\frac{d}{s},$ where $t$ is in seconds. $($Figure $1)$

Part A

Determine the magnitude of the velocity of point $A$ on the disk wihen $t=0\mathrm{.}4s.$

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

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Part B

Determine the magnitude of the acceleration of point $A$ on the disk when $t=0\mathrm{.}4s.$

Express your answer to three significant figures and include the appropriate units.The angular velocity of the disk is defined by $\backslash$omega $=(7$t$2+4)$rad$/$s

$,$ where t

is in seconds. $($Figure $1)$

Figure$1$ of $1$

The disk has a radius of $0\mathrm{.}8$ meters and rotates counterclockwise around its center. Point $\text{'}$A$\text{'}$ is marked on its edge.

Part A

Determine the magnitude of the velocity of point A

on the disk when t

$=0\mathrm{.}4$ s

$.$

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