A cylindrical tank of radius `20 cm` and height `50 cm` has water up to `30 cm` of height. What will be the rise in level of liquid at the periphery if the cylinder be given an angular velocity of `10 rad s^(-1)`? Also determine the frequency of rotation when water just starts spilling over the sides of the vessel.
Text Solution
AI Generated Solution
To solve the problem, we will break it down into two parts:
1. Finding the rise in the level of liquid at the periphery when the cylinder is given an angular velocity.
2. Determining the frequency of rotation when the water just starts spilling over the sides of the vessel.
### Part 1: Rise in Level of Liquid at the Periphery
**Step 1: Understand the forces acting on the water.**
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