Answered

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The change in angular velocity divided by time.Also equal to a/r

Sagot :

The angular acceleration of the body in terms of the angular velocity is,

[tex]\alpha=\frac{\text{angular velocity}}{\text{time}}[/tex]

The angular velocity in terms of the linear velocity is,

[tex]\text{angular velocity=}\frac{v}{r}[/tex]

where v is the linear velocity and r is the radius,

Thus, the angular acceleration becomes,

[tex]\begin{gathered} \alpha=\frac{1}{r}\times\frac{v}{t} \\ \alpha=\frac{a}{r} \end{gathered}[/tex]

where a is the linear acceleration of the body,

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