Bruno switches on a box fan. Each second, a blade sweeps through 720°: two full turns' worth of angle, every second.
That each-second sweep deserves a name of its own.
The symbol is the Greek letter ω, called omega.
Bruno's fan blade sweeps 720° each second, so its angular velocity is ω = 720° per second.
Angular velocity can be written in degrees per second, °/s, or in radians per second, rad/s.
You have compared sweep rates already: the object sweeping more angle each second was sweeping at the greater rate. Angular velocity is that rate's name.
A greater angular velocity means more angle swept in every second.
A microwave turntable sweeps 36° each second. What is its angular velocity?
Astrid says: 'A fan blade sweeping 540° each second has an angular velocity of 540° per second.' Is Astrid correct?
A carousel sweeps 30° each second. State its angular velocity.
The each-second sweep is 30°.
The carousel's angular velocity is ω = 30°/s.
A turbine rotor sweeps 4 radians each second. State its angular velocity.
The each-second sweep is 4 radians.
The rotor's angular velocity is ω = 4 rad/s.
Four facts are recorded about a potter's wheel. Which one states its angular velocity?
Coral records a wheel's angular velocity. Which unit does she record?
A rotating sign has swept 1080° in total since opening time, and it sweeps 120° each second. Which value is the sign's angular velocity?
The angle an object sweeps out each second is called its ___.