berkeman said:There must be more to this question. A circle is a circle. Can you please be more specific in your question?
Welcome to the PF, BTW.
CompuChip said:The direction of your axes?
berkeman said:Yeah, that's all I can think of without more information. The equations for the two different circles will be different, if they are in the same coordinate system.
x^2 + y^2 = R^2 for horizontal, centered on the origin and parallel to the x/y plane.
y^2 + z^2 = R^2 for vertical, centered on the origin and parallel to the y/z plane.
shaheen said:thanks for that, that makes sense
just off to tackle a question dealing with this: regarding motion in a vertical circle
looks easy enough
A vertical circle is a circular motion in which the axis of rotation is perpendicular to the plane of the circle. This means that the object moves in a circular path along a vertical plane.
A horizontal circle is a circular motion in which the axis of rotation is parallel to the plane of the circle. This means that the object moves in a circular path along a horizontal plane.
The main difference between a vertical circle and a horizontal circle is the orientation of the axis of rotation. In a vertical circle, the axis of rotation is perpendicular to the plane of the circle, while in a horizontal circle, the axis of rotation is parallel to the plane of the circle.
A ferris wheel is an example of a vertical circle, as the riders move in a circular motion along a vertical plane. The blades of a wind turbine also move in a vertical circle. A car driving around a roundabout is an example of a horizontal circle, as the car moves in a circular path along a horizontal plane.
The motion of an object in a vertical or horizontal circle is affected by factors such as the speed of the object, the radius of the circle, and the force acting on the object. The force of gravity also plays a role in the motion of an object in a vertical circle.