The equation for the angular position of a pendulum oscillating at small angles is given by: $($t$)=(0\mathrm{.}15$ rad$)$cos$(4\mathrm{.}4$t$+0\mathrm{.}32)$$($t$)=(0\mathrm{.}15$rad$)$cos$(4\mathrm{.}4$t$+0\mathrm{.}32).$

pts$3611$@g$.$rit.edu$4$N$89-61-$AA$-40-$B$69$F$-50456$

$$ Part $($a$)$

Find the amplitude in radians.

$$ Part $($b$)$

Find the phase constant in radians.

$$ Part $($c$)$

Find the angular frequency in rad$/$s$.$

$$ Part $($d$)$

Find the period in seconds.

$$ Part $($e$)$

Find the frequency in Hz$.$

$$ Part $($f$)$

Find the maximum angular speed $($NOT angular frequency$)($in rad$/$s$).$

$$ Part $($g$)$

Find the maximum angular acceleration $($in rad$/$s$2).$

$$ Part $($h$)$

Find the angular velocity at t$=2\mathrm{.}0$ seconds in rad$/$s$.$

$=$

$|$

rad$/$s