In classical mechanics, the Euler force is the fictitious tangential force[1] that appears when a non-uniformly rotating reference frame is used for analysis of motion and there is variation in the angular velocity of the reference frame's axes.
[4] The Euler force will be felt by a person riding a merry-go-round.
As the ride starts, the Euler force will be the apparent force pushing the person to the back of the horse; and as the ride comes to a stop, it will be the apparent force pushing the person towards the front of the horse.
A person on a horse close to the perimeter of the merry-go-round will perceive a greater apparent force than a person on a horse closer to the axis of rotation.
The Euler force on an object of mass m in the rotating reference frame is then