A method for sensing misalignment of a rotating shaft includes rotating the shaft. A distance from a sensor on the shaft to a first rim of a first coupling mounted to an end of the shaft is sensed as the shaft rotates. A change in the distance from the first sensor to the first rim of the first coupling is determined based on the sensed distance. An angle of the first coupling based on the change in the distance from the first sensor to the first rim of the first coupling during one revolution of the shaft is determined based on the sensed change in the distance from the first sensor to the first rim. An angle of the shaft is determined based on the sensed distance from the first sensor to the first rim of the first coupling representing the sensed change in the distance from the first sensor to the first rim.