SlideShare a Scribd company logo
Diseño y construcción
del juego Mecánico
“Sillas Voladoras”
Cinética de partícula en coordenadas normal tangencial
UNIVERSIDAD DE LAS FUERZAS ARMADAS “ESPE-L”
Nombre: Bravo Montenegro Angie Beatriz
NRC: 8174
Docente: Ingeniero Diego Proaño
Objetivo General
Diseñar prototipo mecánico para analizar la cinemática en coordenadas
normal-tangencial.
Objetivos Específicos
Diseñar un prototipo a escala del juego mecánico de las sillas voladoras, para
aprovechar su movimiento curvilíneo
Analizar el sistema intrínseco en el movimiento proporcionado por la maqueta.
Utilizar los datos obtenidos en la experimentación para encontrar las magnitudes
físicas y vectoriales que afectan a la partícula en movimiento.
MARCO TEÓRICO
𝑦
𝑥
𝑤𝑟
Ԧ
𝑟
𝑃
𝑐. 𝑐.
𝑤𝜌
Ԧ
𝑣
Ԧ
𝜌
𝑡𝑟𝑎𝑦𝑒𝑐𝑡𝑜𝑟𝑖𝑎
Vector posición
Se define como el vector
que conecta el lugar que
ocupa el cuerpo con el
origen del marco de
referencia
Radio de curvatura
El radio de curvatura es una
cantidad que mide la
curvatura de un objeto
geométrico y una variedad
reconocible incrustada en el
espacio euclidiano
Velocidad
En función de la velocidad
angular y el radio de
curvatura, al ser evaluados
en un mismo instante
resultan perpendiculares
cumpliéndose lo que en
cualquier movimiento
circular.
Ԧ
𝑟 = 𝑟𝑥Ԧ
𝑖 , 𝑟𝑦Ԧ
𝑗 𝑚
𝜌 =
1 + 𝑦′ 2 Τ
3 2
𝑦′′
Ԧ
𝑣 = 𝑤𝜌 × Ԧ
𝜌
𝑤𝜌 =
𝑣
𝜌
Aceleración Normal
También denominada centrípeta da el
cambio en la dirección del vector de
velocidad de la partícula en cada
punto.
Unitario normal
Aceleración total
𝑎𝑁
𝑎𝑡
Ԧ
𝑎
Ԧ
𝑣
𝑅
𝜃
𝑤
𝑎𝑁
𝑎𝑐
𝑡
𝑁
Coordenadas Normal-Tangencial
Aceleración Tangencial
El numerador es un cambio
infinitesimal en el módulo de la
velocidad dv y el denominador es el
tiempo dt que tarda la partícula en
efectuar dicho cambio.
Unitario tangencial
𝑎𝑁 =
𝑣2
𝜌
= 𝑤𝜌
2𝜌
𝑎𝑡 =
𝑑𝑣
𝑑𝑡
=
∆𝑣
∆𝑡
𝑢𝑁 = −𝑐𝑜𝑠𝜃 Ԧ
𝑖 + 𝑠𝑒𝑛𝜃 Ԧ
𝑗
𝑢𝑡 = 𝑐𝑜𝑠𝜃 Ԧ
𝑖 + 𝑠𝑒𝑛𝜃 Ԧ
𝑗
𝒂 = 𝒂𝒖𝒏 + 𝒂𝒖𝒕
Juego Mecánico “sillas voladoras”
VELOCIDAD LINEAL
En función del periodo
y frecuencia
VELOCIDAD ANGULAR
En función del periodo
y frecuencia
SIMULACIÓN
DEL JUEGO
MECÁNICO
SILLAS
VOLADORAS
𝒗 = 𝟐𝝅
𝑹
𝑻
𝒘 =
𝟐𝝅
𝑻
CÁLCULO DE ERRORES
Nº de
ejecuciones
Tiempo
Rpm
1 14,11 10
2 14,58 10
3 14,49 10
4 14,58 10
5 14,16 10
6 14,60 10
7 14,58 10
8 14,38 10
9 14,60 10
10 14,59 10
Tabla N°2 medidas del cuerpo de prueba
Tiempo ҧ
𝑥 𝐸𝑎𝑏𝑠𝑖
14,11 14,47 0,36
14,58 14,47 0,11
14,49 14,47 0,02
14,58 14,47 0,11
14,16 14,47 0,31
14,60 14,47 0,13
14,58 14,47 0,11
14,38 14,47 0,09
14,60 14,47 0,13
14,59 14,47 0,12
Tabla N° 4 Cálculo del error absoluto
Tiempo
𝐸𝑟 =
𝐸𝑎𝑏𝑠
ҧ
𝑥
𝐸𝑟 =
0,2
14,47
𝐸𝑟 = 0,010382
Tabla N° 6 Cálculo Error Relativo
Tiempo
𝑬% = 𝑬𝒓 ∗ 𝟏𝟎𝟎%
𝐸%
= 0,010382
∗ 100%
𝐸% = 1,0382
Tabla N° 7 Cálculo Error Porcentual
Magnitudes físicas obtenidas a partir del tiempo
Parámetro físico Dimensión Símbolo Valor Unidades
Tiempo M 𝑡 14,47 S
Velocidad L3 𝑣 0,3665 m/s
Desplazamiento angular L ∆𝜃 75,7634 m
Aceleración angular T-2
∝
0 rad/s2
Velocidad angular T-1 𝜔 5,2359 rad/s
Período T 𝑇 17,1437 s
Frecuencia T-1 𝑓 0,0583 hz
Aceleración normal LT-2
𝑎𝑁
1,9190 m/ s2
Arco L ∆𝑠 5,3032 m
Bibliografía
[1] C. Córdova, «Física 1,» de Posición, radio de curvatura y rapidez angular, Quito-Ecuador, EPN,
2016, pp. 87-107.
[2] J. Martínez, «Aprende física en el parque de atracciones,» 2001. [En línea]. Available:
http://www.madrid.org/bvirtual/BVCM001144.pdf. [Último acceso: 29 noviembre 2021].
[3]J. Victoria, «Movimiento circular,» 2018. [En línea]. Available: https://itscv.edu.ec/wp-
content/uploads/2018/10/FISICA-BASICA-UNIVERSIDAD-RICARDO-PALMA.pdf. [Último acceso: 30
noviembre 2021].

More Related Content

Similar to Cinemática en coordenadas normal-tangencial_ Bravo Montenegro Angie

Indoor Heading Estimation
 Indoor Heading Estimation Indoor Heading Estimation
Indoor Heading Estimation
Alwin Poulose
 
Diapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangencialesDiapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangenciales
ARIELMATHEOCHANCUSIG
 
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
Byungjoo Lee
 
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
JONATHANPATRICIONAVA
 
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
AI Robotics KR
 
iv10_linear_pose.pptx
iv10_linear_pose.pptxiv10_linear_pose.pptx
iv10_linear_pose.pptx
darmadi ir,mm
 
3D magnetic steering wheel angle and suspension travel detection
3D magnetic steering wheel angle and suspension travel detection3D magnetic steering wheel angle and suspension travel detection
3D magnetic steering wheel angle and suspension travel detection
Bruno Sprícigo
 
Cinemática de partículas en coordenadas normal y tangencial
Cinemática de partículas en coordenadas normal y tangencial Cinemática de partículas en coordenadas normal y tangencial
Cinemática de partículas en coordenadas normal y tangencial
JavierCasa6
 
Design and Fabrication of Electronic Pen Plotter
Design and Fabrication of Electronic Pen PlotterDesign and Fabrication of Electronic Pen Plotter
Design and Fabrication of Electronic Pen Plotter
Abhishek Mittal
 
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
International Multispeciality Journal of Health
 
Smart Room Gesture Control
Smart Room Gesture ControlSmart Room Gesture Control
Smart Room Gesture Control
Giwrgos Paraskevopoulos
 
thesis
thesisthesis
Pedestrian dead reckoning indoor localization based on os-elm
Pedestrian dead reckoning indoor localization based on os-elmPedestrian dead reckoning indoor localization based on os-elm
Pedestrian dead reckoning indoor localization based on os-elm
Alwin Poulose
 
The cubic root unscented kalman filter to estimate the position and orientat...
The cubic root unscented kalman filter to estimate  the position and orientat...The cubic root unscented kalman filter to estimate  the position and orientat...
The cubic root unscented kalman filter to estimate the position and orientat...
IJECEIAES
 
Jung.Rapport
Jung.RapportJung.Rapport
Jung.Rapport
Alexandre Jung
 
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
IOSR Journals
 
Human action recognition with kinect using a joint motion descriptor
Human action recognition with kinect using a joint motion descriptorHuman action recognition with kinect using a joint motion descriptor
Human action recognition with kinect using a joint motion descriptor
Soma Boubou
 
6.1 synthsis of the mechanism
6.1 synthsis of the mechanism6.1 synthsis of the mechanism
6.1 synthsis of the mechanism
Kiran Wakchaure
 
Vergara juan proyecto1 movimiento curvilineo normal y tangencial
Vergara juan proyecto1 movimiento curvilineo normal y tangencialVergara juan proyecto1 movimiento curvilineo normal y tangencial
Vergara juan proyecto1 movimiento curvilineo normal y tangencial
JuanVergara93
 
Introduction to computing Processing and performance.pdf
Introduction to computing Processing and performance.pdfIntroduction to computing Processing and performance.pdf
Introduction to computing Processing and performance.pdf
TulasiramKandula1
 

Similar to Cinemática en coordenadas normal-tangencial_ Bravo Montenegro Angie (20)

Indoor Heading Estimation
 Indoor Heading Estimation Indoor Heading Estimation
Indoor Heading Estimation
 
Diapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangencialesDiapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangenciales
 
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
CHI'16 Journal "A Mouse With Two Optical Sensors That Eliminates Coordinate D...
 
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
3. guia de_laboratorio_-_movimiento_perpetuo_navarrete_jonathan_
 
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
Sensor Fusion Study - Ch3. Least Square Estimation [강소라, Stella, Hayden]
 
iv10_linear_pose.pptx
iv10_linear_pose.pptxiv10_linear_pose.pptx
iv10_linear_pose.pptx
 
3D magnetic steering wheel angle and suspension travel detection
3D magnetic steering wheel angle and suspension travel detection3D magnetic steering wheel angle and suspension travel detection
3D magnetic steering wheel angle and suspension travel detection
 
Cinemática de partículas en coordenadas normal y tangencial
Cinemática de partículas en coordenadas normal y tangencial Cinemática de partículas en coordenadas normal y tangencial
Cinemática de partículas en coordenadas normal y tangencial
 
Design and Fabrication of Electronic Pen Plotter
Design and Fabrication of Electronic Pen PlotterDesign and Fabrication of Electronic Pen Plotter
Design and Fabrication of Electronic Pen Plotter
 
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
Image Based Visual Servoing for Omnidirectional Wheeled Mobile Robots in Volt...
 
Smart Room Gesture Control
Smart Room Gesture ControlSmart Room Gesture Control
Smart Room Gesture Control
 
thesis
thesisthesis
thesis
 
Pedestrian dead reckoning indoor localization based on os-elm
Pedestrian dead reckoning indoor localization based on os-elmPedestrian dead reckoning indoor localization based on os-elm
Pedestrian dead reckoning indoor localization based on os-elm
 
The cubic root unscented kalman filter to estimate the position and orientat...
The cubic root unscented kalman filter to estimate  the position and orientat...The cubic root unscented kalman filter to estimate  the position and orientat...
The cubic root unscented kalman filter to estimate the position and orientat...
 
Jung.Rapport
Jung.RapportJung.Rapport
Jung.Rapport
 
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
Hardware Implementation of Low Cost Inertial Navigation System Using Mems Ine...
 
Human action recognition with kinect using a joint motion descriptor
Human action recognition with kinect using a joint motion descriptorHuman action recognition with kinect using a joint motion descriptor
Human action recognition with kinect using a joint motion descriptor
 
6.1 synthsis of the mechanism
6.1 synthsis of the mechanism6.1 synthsis of the mechanism
6.1 synthsis of the mechanism
 
Vergara juan proyecto1 movimiento curvilineo normal y tangencial
Vergara juan proyecto1 movimiento curvilineo normal y tangencialVergara juan proyecto1 movimiento curvilineo normal y tangencial
Vergara juan proyecto1 movimiento curvilineo normal y tangencial
 
Introduction to computing Processing and performance.pdf
Introduction to computing Processing and performance.pdfIntroduction to computing Processing and performance.pdf
Introduction to computing Processing and performance.pdf
 

Recently uploaded

2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
Yasser Mahgoub
 
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
upoux
 
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
Paris Salesforce Developer Group
 
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
PIMR BHOPAL
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
co23btech11018
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
ecqow
 
Engineering Standards Wiring methods.pdf
Engineering Standards Wiring methods.pdfEngineering Standards Wiring methods.pdf
Engineering Standards Wiring methods.pdf
edwin408357
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
Prakhyath Rai
 
An Introduction to the Compiler Designss
An Introduction to the Compiler DesignssAn Introduction to the Compiler Designss
An Introduction to the Compiler Designss
ElakkiaU
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
Nada Hikmah
 
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
 
TIME TABLE MANAGEMENT SYSTEM testing.pptx
TIME TABLE MANAGEMENT SYSTEM testing.pptxTIME TABLE MANAGEMENT SYSTEM testing.pptx
TIME TABLE MANAGEMENT SYSTEM testing.pptx
CVCSOfficial
 
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODELDEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
ijaia
 
Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...
Prakhyath Rai
 
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
nedcocy
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan KOZAK
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
Atif Razi
 
Mechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdfMechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdf
21UME003TUSHARDEB
 
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
 
Generative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdfGenerative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdf
mahaffeycheryld
 

Recently uploaded (20)

2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
2008 BUILDING CONSTRUCTION Illustrated - Ching Chapter 02 The Building.pdf
 
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
 
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
 
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
 
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
 
Engineering Standards Wiring methods.pdf
Engineering Standards Wiring methods.pdfEngineering Standards Wiring methods.pdf
Engineering Standards Wiring methods.pdf
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
 
An Introduction to the Compiler Designss
An Introduction to the Compiler DesignssAn Introduction to the Compiler Designss
An Introduction to the Compiler Designss
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
 
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
 
TIME TABLE MANAGEMENT SYSTEM testing.pptx
TIME TABLE MANAGEMENT SYSTEM testing.pptxTIME TABLE MANAGEMENT SYSTEM testing.pptx
TIME TABLE MANAGEMENT SYSTEM testing.pptx
 
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODELDEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
 
Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...
 
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
 
Mechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdfMechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering on AAI Summer Training Report-003.pdf
 
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...
 
Generative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdfGenerative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdf
 

Cinemática en coordenadas normal-tangencial_ Bravo Montenegro Angie

  • 1. Diseño y construcción del juego Mecánico “Sillas Voladoras” Cinética de partícula en coordenadas normal tangencial UNIVERSIDAD DE LAS FUERZAS ARMADAS “ESPE-L” Nombre: Bravo Montenegro Angie Beatriz NRC: 8174 Docente: Ingeniero Diego Proaño
  • 2. Objetivo General Diseñar prototipo mecánico para analizar la cinemática en coordenadas normal-tangencial. Objetivos Específicos Diseñar un prototipo a escala del juego mecánico de las sillas voladoras, para aprovechar su movimiento curvilíneo Analizar el sistema intrínseco en el movimiento proporcionado por la maqueta. Utilizar los datos obtenidos en la experimentación para encontrar las magnitudes físicas y vectoriales que afectan a la partícula en movimiento.
  • 3. MARCO TEÓRICO 𝑦 𝑥 𝑤𝑟 Ԧ 𝑟 𝑃 𝑐. 𝑐. 𝑤𝜌 Ԧ 𝑣 Ԧ 𝜌 𝑡𝑟𝑎𝑦𝑒𝑐𝑡𝑜𝑟𝑖𝑎 Vector posición Se define como el vector que conecta el lugar que ocupa el cuerpo con el origen del marco de referencia Radio de curvatura El radio de curvatura es una cantidad que mide la curvatura de un objeto geométrico y una variedad reconocible incrustada en el espacio euclidiano Velocidad En función de la velocidad angular y el radio de curvatura, al ser evaluados en un mismo instante resultan perpendiculares cumpliéndose lo que en cualquier movimiento circular. Ԧ 𝑟 = 𝑟𝑥Ԧ 𝑖 , 𝑟𝑦Ԧ 𝑗 𝑚 𝜌 = 1 + 𝑦′ 2 Τ 3 2 𝑦′′ Ԧ 𝑣 = 𝑤𝜌 × Ԧ 𝜌 𝑤𝜌 = 𝑣 𝜌
  • 4. Aceleración Normal También denominada centrípeta da el cambio en la dirección del vector de velocidad de la partícula en cada punto. Unitario normal Aceleración total 𝑎𝑁 𝑎𝑡 Ԧ 𝑎 Ԧ 𝑣 𝑅 𝜃 𝑤 𝑎𝑁 𝑎𝑐 𝑡 𝑁 Coordenadas Normal-Tangencial Aceleración Tangencial El numerador es un cambio infinitesimal en el módulo de la velocidad dv y el denominador es el tiempo dt que tarda la partícula en efectuar dicho cambio. Unitario tangencial 𝑎𝑁 = 𝑣2 𝜌 = 𝑤𝜌 2𝜌 𝑎𝑡 = 𝑑𝑣 𝑑𝑡 = ∆𝑣 ∆𝑡 𝑢𝑁 = −𝑐𝑜𝑠𝜃 Ԧ 𝑖 + 𝑠𝑒𝑛𝜃 Ԧ 𝑗 𝑢𝑡 = 𝑐𝑜𝑠𝜃 Ԧ 𝑖 + 𝑠𝑒𝑛𝜃 Ԧ 𝑗 𝒂 = 𝒂𝒖𝒏 + 𝒂𝒖𝒕
  • 5. Juego Mecánico “sillas voladoras” VELOCIDAD LINEAL En función del periodo y frecuencia VELOCIDAD ANGULAR En función del periodo y frecuencia SIMULACIÓN DEL JUEGO MECÁNICO SILLAS VOLADORAS 𝒗 = 𝟐𝝅 𝑹 𝑻 𝒘 = 𝟐𝝅 𝑻
  • 6. CÁLCULO DE ERRORES Nº de ejecuciones Tiempo Rpm 1 14,11 10 2 14,58 10 3 14,49 10 4 14,58 10 5 14,16 10 6 14,60 10 7 14,58 10 8 14,38 10 9 14,60 10 10 14,59 10 Tabla N°2 medidas del cuerpo de prueba Tiempo ҧ 𝑥 𝐸𝑎𝑏𝑠𝑖 14,11 14,47 0,36 14,58 14,47 0,11 14,49 14,47 0,02 14,58 14,47 0,11 14,16 14,47 0,31 14,60 14,47 0,13 14,58 14,47 0,11 14,38 14,47 0,09 14,60 14,47 0,13 14,59 14,47 0,12 Tabla N° 4 Cálculo del error absoluto Tiempo 𝐸𝑟 = 𝐸𝑎𝑏𝑠 ҧ 𝑥 𝐸𝑟 = 0,2 14,47 𝐸𝑟 = 0,010382 Tabla N° 6 Cálculo Error Relativo Tiempo 𝑬% = 𝑬𝒓 ∗ 𝟏𝟎𝟎% 𝐸% = 0,010382 ∗ 100% 𝐸% = 1,0382 Tabla N° 7 Cálculo Error Porcentual
  • 7. Magnitudes físicas obtenidas a partir del tiempo Parámetro físico Dimensión Símbolo Valor Unidades Tiempo M 𝑡 14,47 S Velocidad L3 𝑣 0,3665 m/s Desplazamiento angular L ∆𝜃 75,7634 m Aceleración angular T-2 ∝ 0 rad/s2 Velocidad angular T-1 𝜔 5,2359 rad/s Período T 𝑇 17,1437 s Frecuencia T-1 𝑓 0,0583 hz Aceleración normal LT-2 𝑎𝑁 1,9190 m/ s2 Arco L ∆𝑠 5,3032 m
  • 8. Bibliografía [1] C. Córdova, «Física 1,» de Posición, radio de curvatura y rapidez angular, Quito-Ecuador, EPN, 2016, pp. 87-107. [2] J. Martínez, «Aprende física en el parque de atracciones,» 2001. [En línea]. Available: http://www.madrid.org/bvirtual/BVCM001144.pdf. [Último acceso: 29 noviembre 2021]. [3]J. Victoria, «Movimiento circular,» 2018. [En línea]. Available: https://itscv.edu.ec/wp- content/uploads/2018/10/FISICA-BASICA-UNIVERSIDAD-RICARDO-PALMA.pdf. [Último acceso: 30 noviembre 2021].