If α is angular acceleration, ω is angular velocity and a is the centripetal acceleration then, which of the following is true?

Question

If α is angular acceleration, ω is angular velocity and a is the centripetal acceleration then, which of the following is true? (A)  α=(ω a/v)  (B)  α=(v/ω a)  (C)  α=(av/ω)  (D)  α=(a/ω v)

Tardigrade Admin · Accepted Answer

Centripetal acceleration. ∵ α =(ω/t) ∴ α =(ω v/v t) =(ω a/v)

Q. If $α$ is angular acceleration, $ω$ is angular velocity and a is the centripetal acceleration then, which of the following is true?

$α = \frac{ωa}{v}$

$α = \frac{v}{ωa}$

$α = \frac{a v}{ω}$

$α = \frac{a}{ω v}$

Centripetal acceleration.
$∵ α = \frac{ω}{t}$
$∴ α = \frac{ω v}{v t}$
$= \frac{ωa}{v}$

Q. If α is angular acceleration, ω is angular velocity and a is the centripetal acceleration then, which of the following is true?

α=vωa​

α=ωav​