Física

Análisis de Movimiento y Velocidad

velocidad angular

Física i Química5,256 views·Updated Jun 14, 2026·7 pages

¡Aprende sobre ecuaciones de movimiento en cinemática y dinámicas divertidas!

Elena🧪👩‍🔬@elena_qc

Add to Google sources

A comprehensive guide to kinematics and dynamics in physics, covering...

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of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Projectile Motion

This section explores horizontal and oblique projectile motion, combining principles of MRU and MRUA.

Definition: Horizontal projectile motion combines horizontal MRU with vertical MRUA.

Highlight: In oblique projectile motion, initial velocity components are:

Vox = Vo cos α
Voy = Vo sin α

Example: Motion equations for oblique projection:

Horizontal: x = vox·t
Vertical: y = yo + voy·t + 1/2(-9.8)t²

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Uniform Circular Motion (MCU)

Detailed explanation of circular motion concepts and equations.

Definition: Angular position is given by θ=θo+ωt, where ω is angular velocity.

Vocabulary:

T: Period (time for one revolution)
f: Frequency (revolutions per second)
ω: Angular velocity in rad/s

Highlight: Period and frequency relationship: T=2π/ω and f=1/T

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Linear and Angular Relationships

Covers the relationships between linear and angular quantities in circular motion.

Definition: Linear quantities can be derived from angular ones using the radius:

Arc length: s = θ·R
Linear velocity: v = ω·R
Tangential acceleration: at = α·R

Example: To calculate number of revolutions:

Calculate total angular displacement
Convert using 2π radians = 1 revolution

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Introduction to Dynamics

Fundamental principles of dynamics and force analysis.

Definition: Net force equals mass times acceleration: ΣF=ma

Highlight: Important force considerations:

Normal force (N) isn't always equal to weight (mg)
Friction force Fr = μN
Forces must be analyzed in x and y components

Example: Analysis of forces on inclined planes requires decomposition of weight into parallel and perpendicular components.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Force Analysis Examples

Detailed problem-solving methodology for dynamics problems.

Highlight: Problem-solving steps:

Draw force diagram
Decompose forces into components
Apply ΣF=ma in each direction
Solve resulting equations

Example: For a friction coefficient of 0.4, acceleration and tension calculations require systematic analysis of all forces.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Special Applications

Applications of dynamics in circular motion and elastic systems.

Definition: Hooke's Law states F = kx, where:

F is force in Newtons
k is spring constant in N/m
x is displacement in meters

Highlight: In circular motion, centripetal acceleration an = v²/R must be considered for objects moving in curves.

Example: A car turning on a curved road experiences centripetal force directed toward the center of the curve.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Introduction to Kinematics

This section introduces fundamental motion equations and their applications. The content covers uniform linear motion (MRU) and uniformly accelerated linear motion (MRUA).

Definition: MRU (Uniform Linear Motion) is described by the equation X=Xo+ vt, where position depends linearly on time.

Highlight: Vertical projectile motion is a special case of MRUA where acceleration equals gravity $-9.8 m/s²$ .

Example: In vertical motion, velocity equations account for gravitational acceleration: V=Vo-9.8t

Vocabulary: MRUA (Uniformly Accelerated Linear Motion) uses equations:

X = Xo + Vot + 1/2 at²
V = Vo + at
v² = vo² + 2a $x-xo$

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Física

Análisis de Movimiento y Velocidad

velocidad angular

Física i Química5,256 views·Updated Jun 14, 2026·7 pages

¡Aprende sobre ecuaciones de movimiento en cinemática y dinámicas divertidas!

Elena🧪👩‍🔬@elena_qc

Add to Google sources

A comprehensive guide to kinematics and dynamics in physics, covering motion equations, forces, and circular motion. The material explains fundamental concepts from basic linear motion to complex circular dynamics.

• Ecuaciones de movimiento en cinemáticaare presented systematically, starting from...

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Projectile Motion

This section explores horizontal and oblique projectile motion, combining principles of MRU and MRUA.

Definition: Horizontal projectile motion combines horizontal MRU with vertical MRUA.

Highlight: In oblique projectile motion, initial velocity components are:

Vox = Vo cos α
Voy = Vo sin α

Example: Motion equations for oblique projection:

Horizontal: x = vox·t
Vertical: y = yo + voy·t + 1/2(-9.8)t²

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Uniform Circular Motion (MCU)

Detailed explanation of circular motion concepts and equations.

Definition: Angular position is given by θ=θo+ωt, where ω is angular velocity.

Vocabulary:

T: Period (time for one revolution)
f: Frequency (revolutions per second)
ω: Angular velocity in rad/s

Highlight: Period and frequency relationship: T=2π/ω and f=1/T

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Linear and Angular Relationships

Covers the relationships between linear and angular quantities in circular motion.

Definition: Linear quantities can be derived from angular ones using the radius:

Arc length: s = θ·R
Linear velocity: v = ω·R
Tangential acceleration: at = α·R

Example: To calculate number of revolutions:

Calculate total angular displacement
Convert using 2π radians = 1 revolution

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Introduction to Dynamics

Fundamental principles of dynamics and force analysis.

Definition: Net force equals mass times acceleration: ΣF=ma

Highlight: Important force considerations:

Normal force (N) isn't always equal to weight (mg)
Friction force Fr = μN
Forces must be analyzed in x and y components

Example: Analysis of forces on inclined planes requires decomposition of weight into parallel and perpendicular components.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Force Analysis Examples

Detailed problem-solving methodology for dynamics problems.

Highlight: Problem-solving steps:

Draw force diagram
Decompose forces into components
Apply ΣF=ma in each direction
Solve resulting equations

Example: For a friction coefficient of 0.4, acceleration and tension calculations require systematic analysis of all forces.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Special Applications

Applications of dynamics in circular motion and elastic systems.

Definition: Hooke's Law states F = kx, where:

F is force in Newtons
k is spring constant in N/m
x is displacement in meters

Highlight: In circular motion, centripetal acceleration an = v²/R must be considered for objects moving in curves.

Example: A car turning on a curved road experiences centripetal force directed toward the center of the curve.

of 7

$# CINEMATICA TEMA INTRODUCTORIO MRU X=Xo+vt MRUA x=xo + vot+${\frac{1}{2}}$at² V=Votat v²=vo²+2a (x-xo) Tiro vertical * Es un MRU$

Introduction to Kinematics

This section introduces fundamental motion equations and their applications. The content covers uniform linear motion (MRU) and uniformly accelerated linear motion (MRUA).

Definition: MRU (Uniform Linear Motion) is described by the equation X=Xo+ vt, where position depends linearly on time.

Highlight: Vertical projectile motion is a special case of MRUA where acceleration equals gravity $-9.8 m/s²$ .

Example: In vertical motion, velocity equations account for gravitational acceleration: V=Vo-9.8t

Vocabulary: MRUA (Uniformly Accelerated Linear Motion) uses equations:

X = Xo + Vot + 1/2 at²
V = Vo + at
v² = vo² + 2a $x-xo$