$8\mathrm{.}8$ A small motorcycle engine is running at idle $(1200$ rpm$)$ and the intake manifold pressure is $2$ psia $($the atmospheric pressure is $12\mathrm{.}5$ psia$).$ The electronic control unit $($ECU$)$ is holding the fuel injectors open for $0\mathrm{.}139$ msec. If the throttle is fully opened $(12\mathrm{.}5$ psia$)$ and the engine is running at $14,000$ rpm$.$ How long should the ECU be programed to open the fuel injector? How many crank angles will the injector be open for each injection event?