Question
The angular speed $\omega$ of an object traveling around a circle of radius $r$ is the angle $\theta$ (measured in radians) swept out, divided by the elapsed time $t$.
Step 1
Angular speed, denoted by $\omega$, is defined as the rate at which an object moves through an angle. It is measured in radians per second (rad/s). Show more…
Show all steps
Your feedback will help us improve your experience
Dharmendra Jain and 79 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An object travels around a circle of radius $r$ with constant speed. If $s$ is the distance traveled in time $t$ around the circle and $\theta$ is the central angle (in radians) swept out in time $t$, then the linear speed of the object is $v=\cdots$ and the angular speed of the object is $\omega=$
Trigonometric Functions
Angles and Their Measure
An object travels around a circle of radius $r$ with constant speed. If $s$ is the distance traveled in time $t$ around the circle and $\theta$ is the central angle (in radians) swept out in time $t,$ then the linear speed of the object is $v=$ _______ and the angular speed of the object is $\omega=$________.
An object travels on a circle of radius $r$ with constant speed. If $s$ is the distance traveled in time $t$ on the circle and $\theta$ is the central angle (in radians) swept out in time $t,$ then the linear speed of the object is $v=\quad$ and the angular speed of the object is $\omega=$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD