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:

  1. What is the difference between angular displacement and angle of rotation?
  2. How is angular velocity related to the angle of rotation?
  3. How do you calculate the angle of rotation for uniform circular motion?
  4. What is the formula to find the angle of rotation for a rigid body?
  5. 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 π180\frac{\pi}{180}.

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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