Is angular frequency and angular velocity are same
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No , Well, the key difference here is that one is a vector quantity while the other is a scalar.
If your angle is measured in radians then angular frequency ωω is given by
ω=2πf (rad)s−1ω=2πf (rad)s−1
while angular velocity is
Ω⃗ =dv⃗ dtm s−1Ω→=dv→dtm s−1
What you have above is the magnitude of the angular velocity (which I am assuming is expressed in radians).
|ω|=dθdtrad s−1|ω|=dθdtrad s−1
Often people leave out the radian, since it's just a number. The radian is engineering-dimensionless.
Indeed usually you would use ωω to talk about oscillators, and Ω⃗ Ω→ for circular motion. You need to be careful if your equations are vector equation, in which the direction is important, or scalar equations, where you're only looking for a magnitude.
If your angle is measured in radians then angular frequency ωω is given by
ω=2πf (rad)s−1ω=2πf (rad)s−1
while angular velocity is
Ω⃗ =dv⃗ dtm s−1Ω→=dv→dtm s−1
What you have above is the magnitude of the angular velocity (which I am assuming is expressed in radians).
|ω|=dθdtrad s−1|ω|=dθdtrad s−1
Often people leave out the radian, since it's just a number. The radian is engineering-dimensionless.
Indeed usually you would use ωω to talk about oscillators, and Ω⃗ Ω→ for circular motion. You need to be careful if your equations are vector equation, in which the direction is important, or scalar equations, where you're only looking for a magnitude.
DharaniD:
Need more explanation s
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