Lesson 1069 of 1524
Circular and Rotational Motion
The angle of rotation Δ θ is defined as the ratio of the arc length to the radius of curvature
Practice this chapterThe angle of rotation Δ θ is defined as the ratio of the arc length to the radius of curvature The arc length Δ s is the distance traveled along a circular path and r is the radius of curvature of the circular path
The direction of angular velocity is along the axis of rotation, away (toward) from you for clockwise (counterclockwise) motion The angle of rotation Δ θ is measured in units of radians (rad), where 2 π rad = 360 ° = 1 revolution
rotational motion — the circular motion of an object about an axis of rotation. arc length Δ s — the distance traveled along a circular path and r is the radius of curvature of the circular path. direction of angular velocity — along the axis of rotation, away (toward) from you for clockwise (counterclockwise) motion. angular velocity — ( ω ) the rate of change in the angular position of an object following a circular path.
Worked example
What does “rotational motion” mean in Circular and Rotational Motion?
- 1Use the wording this chapter gives for rotational motion.
- 2The book says: the circular motion of an object about an axis of rotation.
- 3Do not use the meaning of arc length Δ s. That term means the distance traveled along a circular path and r is the radius of curvature of the circular path.
Result: the circular motion of an object about an axis of rotation
Why. That is the meaning this chapter gives for rotational motion.
Do not swap rotational motion and arc length Δ s. rotational motion means the circular motion of an object about an axis of rotation. arc length Δ s means the distance traveled along a circular path and r is the radius of curvature of the circular path.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.