HallsofIvy said:One obvious difficulty is that, if the axis of rotation is perpendicular to the circle, the circle will rotate into itself. Clearly, just knowing the circle will not tell us the angle the sphere rotated.
The rotation parameter in a sphere is a value that represents the amount of rotation or spin that the sphere has around a particular axis. It is usually measured in degrees or radians and can range from 0 to 360.
The formula for calculating the rotation parameter in a sphere is: θ = s/r, where θ is the rotation parameter, s is the arc length or distance traveled along the circumference of the sphere, and r is the radius of the sphere.
The rotation parameter can be used to calculate the angular velocity of the sphere, which is a measure of how fast the sphere is rotating around its axis. This can be done by dividing the rotation parameter by the time it takes for the sphere to complete one full rotation.
Yes, the rotation parameter can be negative. A positive rotation parameter indicates a clockwise rotation, while a negative rotation parameter indicates a counterclockwise rotation.
The moment of inertia in a sphere is a measure of its resistance to rotational motion. The rotation parameter is directly proportional to the moment of inertia, meaning that the larger the rotation parameter, the greater the moment of inertia and therefore, the more energy is required to rotate the sphere.