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 |
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. \(\sqrt{\frac{R}{r}}\)
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) |
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 |