Complete the following: 1. What is the difference between a rotation in two dimensions and a rotation in three dimensions? 2. Where do you see solids of rotation in the world? 3. Using the pictures below, sketch and describe the different solids that would result from rotating the same two- dimensional figure using each of the given axes of rotation. (You can sketch using pencil and paper, autodraw.com, or any other digital drawing tool).
Complete the following: 1. What is the difference between a rotation in two dimensions and a rotation in three dimensions? 2. Where do you see solids of rotation in the world? 3. Using the pictures below, sketch and describe the different solids that would result from rotating the same two- dimensional figure using each of the given axes of rotation. (You can sketch using pencil and paper, autodraw.com, or any other digital drawing tool).
Complete the following: 1. What is the difference between a rotation in two dimensions and a rotation in three dimensions? 2. Where do you see solids of rotation in the world? 3. Using the pictures below, sketch and describe the different solids that would result from rotating the same two- dimensional figure using each of the given axes of rotation. (You can sketch using pencil and paper, autodraw.com, or any other digital drawing tool).
1. What is the difference between a rotation in two dimensions and a rotation in three dimensions?
2. Where do you see solids of rotation in the world?
3.Using the pictures below, sketch and describe the different solids that would result from rotating the same two-dimensional figure using each of the given axes of rotation. (You can sketch using pencil and paper, autodraw.com, or any other digital drawing tool).
Transcribed Image Text:Complete the following:
1. What is the difference between a rotation in two dimensions and a rotation in three dimensions?
2. Where do you see solids of rotation in the world?
3. Using the pictures below, sketch and describe the different solids that would result from rotating the same two-
dimensional figure using each of the given axes of rotation. (You can sketch using pencil and paper, autodraw.com,
or any other digital drawing tool).
In geometry, three-dimensional shape that occupies space on a plane. Solids are measured by their length, width, and height. The attributes of solids are faces, edges, and vertices. Solids include cubes, cuboids, prisms, pyramids, cylinders, cones, or spheres.
Expert Solution
Step 1
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If we consider the spherical coordinates and if the rotation is only in two dimensions then r which represents the distance is held constant as the molecules are only rotating not translating.
In 3 dimensional rotation r is still fixed but the molecules rotates form x - axis to y-axis. therefore this dimension should also be considered in 3-d rotation.
There is only one quantum number to characterize the eigen function in 2 dimension but in 3 dimension 2 quantum numbers are needed.
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