Uniform Circular Motion

Unspecified year 8 questions

1. Centripetal acceleration is
2. Two stones are moving with same angular speeds in the radii of circular paths 1 m and 2 m. The ratio of their linear speed is ...X.... Here, X refers to
3. The direction of the angular velocity vector is along
4. Two particles A, B are moving on two concentric circles of radii $R_{1}$ and $R_{2}$ with equal angular speed $\omega$. At $t = 0$, their positions and direction of motion are shown in the figure: The relative velocity $\overrightarrow{v_{A}} - \overrightarrow{v_{B}} at t = \frac{\pi}{2\omega}$ is given by: [add image]
5. In uniform circular motion
6. A body is moving with a constant speed v in a circle of radius r. Its angular acceleration is
7. A stone of mass m is tied to a string of length $\ell$ and rotated in a circle with a constant speed v, if the string is released the stone flies
8. Two bodies are moving in concentric orbits of radii 2 cm and 4 cm such that their time periods are the same. The ratio of their centripetal accelerations is: