Assume a strain gage is bonded to the cylinder wall surface in the direction of the hoop strain. the strain gage has nominal resistance r0 and a gage factor gf. it is connected in a wheatstone bridge configuration where all resistors have the same nominal resistance; the bridge has an input voltage, vin. (the strain gage is bonded and the wheatstone bridge balanced with the vessel already pressurized.)calculate the voltage change ∆v across the wheatstone bridge when the cylinder is pressurized to ∆p = 2.5 atm. assume the vessel is made of 3004 aluminum with height h = 21 cm, diameter d = 9 cm, and thickness t = 65 µm. the gage factor is gf = 2 and the wheatstone bridge has vin = 6 v. the strain gage has nominal resistance r0 = 120 ω.