SlideShare a Scribd company logo
1/28/2015
Cylindrical
Variables ρ,φ, z
(A point is located by the values of the
variables. Totally three values are
required to locate a point )
Vector Components Aρ , Aφ, Az
Vector A = Aρ aρ + Aφ aφ + Az az
13
1/28/2015
Different Surfaces
0 ≤ ρ
0 ≤ φ
≤ ∞
≤ 360o
− ∞ ≤ z ≤ ∞
14
1/28/2015
Intersection of Different Surfaces
A point is intersection of 2 planes & one curved surface
15
1/28/2015
Representation of a Point
16
1/28/2015
Different Surfaces
17
1/28/2015
Cylindrical Coordinate System
z
ρ
P(ρ,φ, z)
z
O
φ y
x
18
1/28/2015
link
19
1/28/2015
Unit Vectors
20
a
a
a
1/28/2015
Cylindrical coordinates Unit
Vectors
z
az
φ
aρ
y
ρ ×aφx
= az
φ ×az = aρ
az ×aρ
= aφ
21
1/28/2015
Differential Element
Dr.A.Immanuel Selvakumar
dl = dρaρ + ρdφaφ + dzaz
22
1/28/2015
23
1/28/2015
24
1/28/2015
Relationship between Rectangular and Cylindrical
Coordinate Variables
25
1/28/2015
Coordinate Variables transformation between
Cartesian and Cylindrical
26
1/28/2015
27

More Related Content

More from LingalaSowjanya

01analog filters
01analog filters01analog filters
01analog filters
LingalaSowjanya
 
Wave analysers
Wave analysersWave analysers
Wave analysers
LingalaSowjanya
 
Transducers (1)
Transducers (1)Transducers (1)
Transducers (1)
LingalaSowjanya
 
Thermocouple
ThermocoupleThermocouple
Thermocouple
LingalaSowjanya
 
Thermistor
ThermistorThermistor
Thermistor
LingalaSowjanya
 
Temperature measurement
Temperature measurementTemperature measurement
Temperature measurement
LingalaSowjanya
 
Strain gauge
Strain gaugeStrain gauge
Strain gauge
LingalaSowjanya
 
Rtd
RtdRtd
Pressure measurement
Pressure measurementPressure measurement
Pressure measurement
LingalaSowjanya
 
Oscillators (1)
Oscillators (1)Oscillators (1)
Oscillators (1)
LingalaSowjanya
 
Multivibrators (1)
Multivibrators (1)Multivibrators (1)
Multivibrators (1)
LingalaSowjanya
 
Lvdt
LvdtLvdt
Classification of transducer
Classification of transducerClassification of transducer
Classification of transducer
LingalaSowjanya
 
Wheatstone bridge
Wheatstone bridgeWheatstone bridge
Wheatstone bridge
LingalaSowjanya
 
Energy meter
Energy meterEnergy meter
Energy meter
LingalaSowjanya
 
Bridges problems
Bridges   problemsBridges   problems
Bridges problems
LingalaSowjanya
 
Bridge ppt 1
Bridge ppt 1Bridge ppt 1
Bridge ppt 1
LingalaSowjanya
 
Ac bridges notes
Ac bridges notesAc bridges notes
Ac bridges notes
LingalaSowjanya
 
Voltmeter sensitivity
Voltmeter sensitivityVoltmeter sensitivity
Voltmeter sensitivity
LingalaSowjanya
 
Pmmc and moving iron
Pmmc and  moving ironPmmc and  moving iron
Pmmc and moving iron
LingalaSowjanya
 

More from LingalaSowjanya (20)

01analog filters
01analog filters01analog filters
01analog filters
 
Wave analysers
Wave analysersWave analysers
Wave analysers
 
Transducers (1)
Transducers (1)Transducers (1)
Transducers (1)
 
Thermocouple
ThermocoupleThermocouple
Thermocouple
 
Thermistor
ThermistorThermistor
Thermistor
 
Temperature measurement
Temperature measurementTemperature measurement
Temperature measurement
 
Strain gauge
Strain gaugeStrain gauge
Strain gauge
 
Rtd
RtdRtd
Rtd
 
Pressure measurement
Pressure measurementPressure measurement
Pressure measurement
 
Oscillators (1)
Oscillators (1)Oscillators (1)
Oscillators (1)
 
Multivibrators (1)
Multivibrators (1)Multivibrators (1)
Multivibrators (1)
 
Lvdt
LvdtLvdt
Lvdt
 
Classification of transducer
Classification of transducerClassification of transducer
Classification of transducer
 
Wheatstone bridge
Wheatstone bridgeWheatstone bridge
Wheatstone bridge
 
Energy meter
Energy meterEnergy meter
Energy meter
 
Bridges problems
Bridges   problemsBridges   problems
Bridges problems
 
Bridge ppt 1
Bridge ppt 1Bridge ppt 1
Bridge ppt 1
 
Ac bridges notes
Ac bridges notesAc bridges notes
Ac bridges notes
 
Voltmeter sensitivity
Voltmeter sensitivityVoltmeter sensitivity
Voltmeter sensitivity
 
Pmmc and moving iron
Pmmc and  moving ironPmmc and  moving iron
Pmmc and moving iron
 

Recently uploaded

International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
gerogepatton
 
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
IJECEIAES
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
abbyasa1014
 
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptxML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
JamalHussainArman
 
Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
Hitesh Mohapatra
 
132/33KV substation case study Presentation
132/33KV substation case study Presentation132/33KV substation case study Presentation
132/33KV substation case study Presentation
kandramariana6
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
KrishnaveniKrishnara1
 
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball playEric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
enizeyimana36
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
IJECEIAES
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
MIGUELANGEL966976
 
Heat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation pptHeat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation ppt
mamunhossenbd75
 
Question paper of renewable energy sources
Question paper of renewable energy sourcesQuestion paper of renewable energy sources
Question paper of renewable energy sources
mahammadsalmanmech
 
A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...
nooriasukmaningtyas
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
VICTOR MAESTRE RAMIREZ
 
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdfIron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
RadiNasr
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
171ticu
 
Engine Lubrication performance System.pdf
Engine Lubrication performance System.pdfEngine Lubrication performance System.pdf
Engine Lubrication performance System.pdf
mamamaam477
 
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMSA SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
IJNSA Journal
 
The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.
sachin chaurasia
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
jpsjournal1
 

Recently uploaded (20)

International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
 
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
Redefining brain tumor segmentation: a cutting-edge convolutional neural netw...
 
Engineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdfEngineering Drawings Lecture Detail Drawings 2014.pdf
Engineering Drawings Lecture Detail Drawings 2014.pdf
 
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptxML Based Model for NIDS MSc Updated Presentation.v2.pptx
ML Based Model for NIDS MSc Updated Presentation.v2.pptx
 
Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
 
132/33KV substation case study Presentation
132/33KV substation case study Presentation132/33KV substation case study Presentation
132/33KV substation case study Presentation
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
 
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball playEric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
 
Embedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoringEmbedded machine learning-based road conditions and driving behavior monitoring
Embedded machine learning-based road conditions and driving behavior monitoring
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
 
Heat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation pptHeat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation ppt
 
Question paper of renewable energy sources
Question paper of renewable energy sourcesQuestion paper of renewable energy sources
Question paper of renewable energy sources
 
A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
 
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdfIron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
Iron and Steel Technology Roadmap - Towards more sustainable steelmaking.pdf
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
 
Engine Lubrication performance System.pdf
Engine Lubrication performance System.pdfEngine Lubrication performance System.pdf
Engine Lubrication performance System.pdf
 
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMSA SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMS
 
The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
 

(724429257) cylindrical coordinate system (1)