Question
A liquid of density Ļ is rotating in a cylindrical
vessel with constant angular velocity Ļ. The free surface of the liquid takes the shape of:Solution
When a liquid rotates inside a cylindrical vessel with constant angular velocity Ļ, every fluid element experiences a centrifugal force directed radially outward due to rotation. At the same time, gravity acts vertically downward. To find the shape of the free surface, we use the condition that the pressure on the free surface is constant (equal to atmospheric pressure), and hence, the total potential energy per unit mass remains constant along the surface. Let us consider a point on the free surface at a radial distance r from the axis of rotation and vertical height z above some reference level. 
Reliance Jio announced that it will be landing a multi-terabit India-Asia-Xpress (IAX) undersea cable system in _________ to directly connect the countr...
Consider the following statements:
I. Chief Ministerās Breakfast Scheme has recently been implemented by Andhra Pradesh.
II. 1,545...
Which of the following Investment Authority buys 20% stake in IIFL Home Finance for Rs 2,200 crores?
What is the name of the latest multi-role stealth guided missile frigate commissioned into the Indian Navy in December 2024?Ā
What was the value of guarantees for overseas units in Indiaās outward FDI for May 2025?
How much funding has the Kerala government signed up for under the PM SHRI scheme?
Which of the above statements is/are correct about BIMSTEC:
1. The BIMSTEC intra-regional trade is significantly greater than ASEANās.
2...
Which of the following statements correctly describes the purpose of the MyGov platform under the Digital India Mission?
What is the total number of Indian institutions featured in QS World University Rankings 2026?Ā
Who won the 2025 Miami Open Tennis Title (Menās Singles)?
Relevant for Exams:
