
If it takes 5 minutes to fill a 15 L bucket from a water tap of diameter cm then the Reynolds number for the flow is ( density of water = and viscosity of water pa.s) close to
(A) 11,000
(B) 550
(C) 1100
(D) 5500
Answer
475.8k+ views
Hint: Reynolds number is a dimensionless value which is applied in fluid mechanics to represent whether the fluid flow in a duct or part of a body is steady or turbulent. Reynolds number is given by ratio of inertial force to viscous force. Use the following formula,
Here, Fluid density
Fluid velocity
Fluid viscosity
Diameter or Length of fluid.
Complete step by step solution
We have given,
( ) density of water =
( ) viscosity of water= 10-3 pa.s
We have to find, Reynolds’s number which is given by,
Here, is the fluid velocity which can be obtained by following,
Q is the volume of water flowing out per second which is given by ,
1 min =60 sec
Now, d is diameter = cm = ×10-2m
Reynolds’s number is given by,
=
Put all the values in above equation
….. Use
=
=
, This is the approximate value of Reynolds’s number.
Note
Reynolds number formula is used to determine the diameter, velocity and viscosity of the fluid
If Re , the flow is called Laminar
If Re , the flow is called turbulent
If 2000 Re , the flow is called transition.
Here, Re is Reynolds number,
Complete step by step solution
We have given,
(
(
We have to find, Reynolds’s number which is given by,
Here,
Q is the volume of water flowing out per second which is given by ,
Now, d is diameter =
Reynolds’s number is given by,
Put all the values in above equation
=
=
Note
Reynolds number formula is used to determine the diameter, velocity and viscosity of the fluid
If Re
If Re
If 2000
Here, Re is Reynolds number,
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
