The gas tank for a light truck is illustrated schematically in Figure P5.18. The pressure transducer serves as the active component for the fuel gage.
(a) When the tank is half-full, determine the equation that relates the pressure at the gage to the constant horizontal acceleration of the truck.
(b) How does the relationship change if the tank is three-quarters full?
(c) If the tank is half-full, at what acceleration will the gasoline level drop below the gage port?
(d) Can you suggest a better location for the location of the pressure gage? Justify your selection.