The invention relates to a method for demonstrating a parabola containing a periodic change factor, which mainly comprises a water tank, a small red plastic ball, a guide ring, a compression spring, avertical guide rod, a motor, a speed change switch and a power supply, wherein the water tank consists of a group of parallel vertical wells with the bottom being communicated, the small red plasticball floats on the liquid level of the vertical wells, the compression spring is fixed to the bottom of the water tank, the other end of the compression spring is fixed to a homogenizing disc, a guidering is fixed to the side wall of the flat side of the water tank, a vertical guide rod matched with the inner diameter of the guide ring penetrates through the guide ring, scales are arranged on thevertical guide rod and used for observing the position of the guide ring, the vertical guide rod is fixed to the homogenizing disc, a rotating shaft of the motor penetrates through a central shaft ofthe homogenizing disc, that is, the central shaft of the water tank, the central shaft of the compression spring, the central shaft of the homogenizing disc and the rotating shaft of the motor are located on the same vertical line, and the liquid level change parabola law of rotating at a constant angular speed under a vertical periodic acceleration reference system can be demonstrated.