Math Problem Statement
An angle that is swept out by any line passing though a rotating body that intersects the axis of rotation is called
Solution
The angle that is swept out by any line passing through a rotating body and intersecting the axis of rotation is called the angle of rotation. This angle represents the measure of how much the body has rotated around a fixed axis from an initial reference position.
Would you like more details on this concept, or do you have any questions?
Here are five related questions:
- What is the difference between angular displacement and angle of rotation?
- How is angular velocity related to the angle of rotation?
- How do you calculate the angle of rotation for uniform circular motion?
- What is the formula to find the angle of rotation for a rigid body?
- How do you convert the angle of rotation from degrees to radians?
Tip: To convert an angle from degrees to radians, multiply the angle by .
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Math Problem Analysis
Mathematical Concepts
Rotation
Angular Displacement
Geometry of Rotating Bodies
Formulas
θ = ωt (Angular displacement for uniform motion)
θ = θ₀ + ω₀t + 0.5αt² (For angular motion with acceleration)
Theorems
Angular Displacement Theorem
Rotation of Rigid Bodies
Suitable Grade Level
Grades 10-12