- #1
Codyt
- 27
- 0
Ok, I have to make a 3D model of a figure bounded by y=4 and y=x^2 that is rotated about the x-axis. I believe it will form an hour glass shape and I am putting two half spheres together to form the model, is this right?
Codyt said:Ok, I have to make a 3D model of a figure bounded by y=4 and y=x^2 that is rotated about the x-axis. I believe it will form an hour glass shape and I am putting two half spheres together to form the model, is this right?
Codyt said:Can you please explain this, I looked up what you said, but I still cannot see how that would be formed by my shape. The paraboloid of revolution looks more like what would be formed by rotating in about the y axis. Anyh help is appreciated.
Rotating around the x axis means to rotate an object or point in a three-dimensional coordinate system around the horizontal x-axis. This causes the object to move in a circular motion in the x-z plane.
To calculate the new coordinates of a point after rotating around the x axis, you can use a rotation matrix. The formula is:
x' = x
y' = y * cos(theta) - z * sin(theta)
z' = y * sin(theta) + z * cos(theta)
Where (x, y, z) are the original coordinates of the point, (x', y', z') are the new coordinates, and theta is the angle of rotation.
The main difference between rotating around the x axis and the y axis is the direction of rotation. Rotating around the x axis causes the object to move in a circular motion in the x-z plane, while rotating around the y axis causes the object to move in a circular motion in the y-z plane.
No, rotating around the x axis requires a three-dimensional coordinate system where the x axis is one of the three axes. In two dimensions, there is only the x and y axis, so rotating around the x axis is not possible.
Rotating around the x axis is used in many fields, including mathematics, physics, and computer graphics. It can be used to transform an object or point in a three-dimensional space, create 3D animations, and solve geometric problems involving rotation.