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Angular Analogue of Linear Momentum

Angular veloc...

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Angular velocity of the particle becomes four times of its initial angular velocity in two seconds if initial angular velocity of a particle is 4RAD per second then average angular acceleration of particle is

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Two particle A and B move on a circle. Initially Particle A and B are diagonally opposite to each other. Particle A moves with angular velocity $π \frac{r a d}{s e c}$ , angular acceleration $\frac{π}{2} \frac{r a d}{s e c^{2}}$ and particle B moves with constant angular velocity $2 π \frac{r a d}{s e c}$ . Find the time after which both the particle A and B will collide.

Q. A car wheel rotates with an angular acceleration

α = 4 t^{3} (in rad / s^{2})

t

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ω_{0} = 20 r a d / s

, then the angular velocity

ω (t)

2 s

Q. Two particles

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B

are moving in opposite direction on a circle. Initially particle

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B

are diagonally opposite to each other. Particle

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move with angular velocity

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, angular acceleration

\frac{π}{2} {rad/s}^{2}

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B

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B

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A

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π r a d / s

and angular acceleration

\frac{π}{2} r a d / s^{2}

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10 π r a d / s

at the end of 2 s and angular velocity

15 π r a d / s

at the end of 4 s. The angular acceleration of particle is

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