An inertial measurement unit comprises an outer case assembly including an upper gas plenum and a lower gas plenum, with upper and lower support shells surrounded by the upper and lower gas plenums. A sensor assembly includes a sensor shell, with the sensor assembly surrounded by the upper and lower support shells. A plurality of gas bearing pads extend through apertures in the upper and lower support shells and are configured to inject a first pressurized gas into a gap that separates the gas bearing pads and the sensor shell. A wireless power transfer transformer includes a power transmitting core mounted to the outer case assembly, and a power receiving core mounted in an opening of the sensor shell. The receiving core is configured to be aligned with the transmitting core for wireless power transfer. The transmitting core is configured to inject a second pressurized gas into a gap between the transmitting core and the receiving core.