A particle moves in a circle of radius \(5\) cm with constant speed and time period \(0.2\pi\) s. The acceleration of the particle is:

1. \(25\) m/s2 2. \(36\) m/s2
3. \(5\) m/s2 4. \(15\) m/s2
Subtopic:  Circular Motion |
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Two particles having mass \(M\) and \(m\) are moving in a circular path having radius \(R\) & \(r\) respectively. If their time periods are the same, then the ratio of angular velocities will be: 
1. \(\frac{r}{R}\)
2. \(\frac{R}{r}\)
3. \(1\)
4. \(\sqrt{\frac{R}{r}}\)

Subtopic:  Circular Motion |
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For a particle performing uniform circular motion,

(a) the magnitude of particle velocity (speed) remains constant.
(b) particle velocity is always perpendicular to the radius vector.
(c) the direction of acceleration keeps changing as the particle moves.
(d) angular momentum is constant in magnitude but direction keeps changing.

Choose the correct statement/s:

1. (c), (d) 2. (a), (c)
3. (b), (c) 4. (a), (b), (c)
Subtopic:  Circular Motion |
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An insect trapped in a circular groove of radius \(12\) cm moves along the groove steadily and completes \(7\) revolutions in \(100\) s. What is the angular speed of the motion? 

1. \(0.62\) rad/s 2. \(0.06\) rad/s
3. \(4.40\) rad/s 4. \(0.44\) rad/s
Subtopic:  Circular Motion |
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