Problem $16\mathrm{.}27$

The gear A on the drive shaft of the outboard motor has a radius

r$\_($A$)=0\mathrm{.}7$in$.$ and the meshed pinion gear B on the propeller

shaft has a radius r$\_($B$)=1\mathrm{.}4$in$.$ The drive shaft rotates with an

angular acceleration $\backslash$alpha $=(300\backslash$sqrt$($t$))$ra$($d$)/($s$^(2)),$ where t is in

seconds. The propeller is originally at rest and the motor frame

does not move. $($Figure $1)$

Figure

Part A

Determine the magnitude of the angular velocity of the propeller in t$=1\mathrm{.}5$s$.$

Express your answer in radians per second to three significant figures.

Incorrect; Try Again; $3$ attempts remaining