Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 11

Physics

Mechanical Properties of Fluids

Viscosity

A thin square plate of side, l =10 cm is dragged with constant

Question

Medium

Solving time: 3 mins

A thin square plate of side, $l = 10 c m$ is dragged with constant velocity, $v$ = $3$ $c m / s$ in an oil. The width $d$ of the oil column is $2 mm$ . Square plate is placed symmetrically as shown in the figure. Assumed velocity of layer of oil at the end is negligible. The coefficient of viscosity is $150$ $p o i se$ . Find the horizontal force (in $N$ ) required to move the square plate with constant velocity.

Views: 5,571 students

Found 3 tutors discussing this question

Harper Discussed

A thin square plate of side,

l = 10 c m

is dragged with constant velocity,

v

3

c m / s

in an oil. The width

d

of the oil column is

2 mm

. Square plate is placed symmetrically as shown in the figure. Assumed velocity of layer of oil at the end is negligible. The coefficient of viscosity is

150

p o i se

. Find the horizontal force (in

N

) required to move the square plate with constant velocity.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Since the plate moves with constant velocity, the net force acting on the plate must be zero.
Hence

F_{a} = 2 \times F_{v i s} = 2 η A \frac{d v}{d y}

= 2 η \times l^{2} \times \frac{v}{d /2}

= \frac{4 η l ^{2} v}{d}

= \frac{4 \times \frac{150}{10} \times 1 0 ^{- 2} \times 3 \times 1 0 ^{- 3}}{2 \times 1 0 ^{- 3}}

= 9 N

Was this solution helpful?

102

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A thin square plate of side, $l = 10 c m$ is dragged with constant velocity, $v$ = $3$ $c m / s$ in an oil. The width $d$ of the oil column is $2 mm$ . Square plate is placed symmetrically as shown in the figure. Assumed velocity of layer of oil at the end is negligible. The coefficient of viscosity is $150$ $p o i se$ . Find the horizontal force (in $N$ ) required to move the square plate with constant velocity.
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	102

Text solutionVerified

Practice more questions from Mechanical Properties of Fluids

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Practice more questions from Mechanical Properties of Fluids

Practice questions on similar concepts asked by Filo students

Related books for questions on Mechanical Properties of Fluids