Difference between revisions of "Angular Speed"
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*Describes the rotational [[speed]] of an [[object]]. | *Describes the rotational [[speed]] of an [[object]]. | ||
*Different from linear [[speed]], which measures movement along a straight path. | *Different from linear [[speed]], which measures movement along a straight path. | ||
| + | *[[Angular Speed|Angular speed]] can be calculated by dividing the [[Angular Displacement|angular displacement]] by the [[time]] taken. | ||
| + | *[[Angular Speed|Angular speed]] is a [[scalar]] quantity, representing the magnitude of the rotational motion. | ||
| + | *[[Angular Speed|Angular speed]] is constant in uniform [[Circular Motion|circular motion]]. | ||
| + | |||
| + | ===Formula=== | ||
| + | v = rω | ||
| + | |||
| + | Where: | ||
| + | |||
| + | v is [[Angular Speed|angular speed]] | ||
| + | |||
| + | r is the [[radius]] of the circular path being followed | ||
| + | |||
| + | and | ||
| + | |||
| + | ω is the [[Angular Frequency|angular frequency]] | ||
===Examples=== | ===Examples=== | ||
*A rotating fan blade has a constant [[Angular Speed|angular speed]]. | *A rotating fan blade has a constant [[Angular Speed|angular speed]]. | ||
*The [[Angular Speed|angular speed]] of [[Earth]]’s rotation affects the length of a day. | *The [[Angular Speed|angular speed]] of [[Earth]]’s rotation affects the length of a day. | ||
Latest revision as of 19:06, 19 May 2024
Key Stage 5
Meaning
Angular speed is the rate at which an object moves through an angle.
About Angular Speed
- Measured in radians per second (rad/s).
- Describes the rotational speed of an object.
- Different from linear speed, which measures movement along a straight path.
- Angular speed can be calculated by dividing the angular displacement by the time taken.
- Angular speed is a scalar quantity, representing the magnitude of the rotational motion.
- Angular speed is constant in uniform circular motion.
Formula
v = rω
Where:
v is angular speed
r is the radius of the circular path being followed
and
ω is the angular frequency
Examples
- A rotating fan blade has a constant angular speed.
- The angular speed of Earth’s rotation affects the length of a day.