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Bernoulli's equation

A liquid is kept in a cylindrical vessel which is rotated alon

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A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is $0.05 m$ and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

Name: Video solution 1: A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is 0.05 m and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.
Uploaded: 2022-11-17T12:11:17.000Z
Duration: 15 min
Description: Video solution 1: A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is 0.05 m and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

Views: 5,262 students

Updated on: Nov 17, 2022

Book:

Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is

0.05 m

and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

12 mins ago

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12 mins ago

Text solutionVerified

ρ gh = \frac{1}{2} ρ v^{2} = \frac{1}{2} ρ r^{2} w^{2}

Hence,

h = \frac{r ^{2} w ^{2}}{2 g}

= \frac{r ^{2} ( 2 π v ) ^{2}}{2 g} = \frac{2 π ^{2} r ^{2} v ^{2}}{g} = \frac{2 \times π ^{2} \times ( 0.05 ) ^{2} \times 2 ^{2}}{9.8} = 0.02 m = 2 cm

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Question Text	A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is $0.05 m$ and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.
Updated On	Nov 17, 2022
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	119
Avg. Video Duration	15 min

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is $0.05 m$ and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

Text solutionVerified

Filo tutor solutions (1)

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A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is 0.05 m and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

Text solutionVerified

Filo tutor solutions (1)

Practice questions from Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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Find the torque of a force F=−3i^+j^+5k^

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A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the sides. If the radius of the vessel is $0.05 m$ and the speed of rotation is 2 rev. per sec., find the difference in the height of the liquid at the centre of the vessel and at its sides.

acting at the point r=7i^+3j^+k^with respect to origin:-