Physics, 06.11.2020 16:40 CrsvrBryan7852

Explica la relación entre momento de torsión y aceleración angular mencionando tres ejemplos Una varilla uniforme delgada mide 1.5 m de longitud y tiene una masa de 6kg si la varilla se hace girar en un centro y se queda en rotación con una velocidad angular de 16 rad/seg calcular la cantidad de movimiento

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Answer from: thall5026

La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.

1) La relación entre el momento de torsión (), una variable cinética y relacionada con la aplicación de una fuerza externa cuya línea de proyección no cruza el centro de masa del objeto, y la aceleración angular ( $\alpha$ ), una variable cinemática, es la resistencia del cuerpo a rotar, la cual es función de su masa y su geometría, representada por la variable de momento de inercia.

A continuación, presentamos tres ejemplos del concepto:

Giro de una tuerca como consecuencia del giro de una llave inglesa por la acción de una mano y un brazo.Transmisión del movimiento a través de la transmisión de una bicicleta.Cierre de una compuerta mediante una transmisión rígida por engranes y un volante.

2) Asumamos que la varilla uniforme es de masa constante, con una rotación a velocidad angular constante y con un centro de rotación localizado en el centro geométrico de la varilla. La cantidad de movimiento es expresada mediante la siguiente ecuación:

$L = I\cdot \omega$ (1)

Donde:

- Cantidad de movimiento angular, en kilogramos-metro cuadrado por segundo.

- Momento de inercia, en kilogramos-metro cuadrado. $\omega$ - Rapidez angular, en radianes por segundo.

El momento de inercia de una varilla uniforme con centro de rotación en el centro queda expresado por la siguiente fórmula:

$I = \frac{1}{12}\cdot m\cdot L^{2}$ (2)

Donde:

- Masa de la varilla, en kilogramos.

- Longitud de la varilla, en metros.

Al aplicar (2) en (1), tenemos la expresión resultante:

$L = \frac{1}{12} \cdot m\cdot L^{2}\cdot \omega$ (3)

Si sabemos que $m = 6\,kg$ , $L = 1.5\,m$ y $\omega = 16\,\frac{rad}{s}$ , entonces la cantidad de movimiento angular es:

$L = \frac{1}{12}\cdot (6\,kg)\cdot (1.5\,m)^{2}\cdot \left(16\,\frac{rad}{s} \right)$

$L = 18\,\frac{kg\cdot m^{2}}{s}$

La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.

Invitamos cordialmente a ver este problema sobre cantidad de movimiento: link

Answer from: mvongphakdy8124

1) τ = I α whereby the torque is provided by the angular acceleration

2) L = 216 Kg m² / s

Explanation:

1) Let's start with Newton's second law

F = m a

multiply by the arm or perpendicular distance

F r = m a r

if the distance is not perpendicular a way of realizing the relations using the vector product

τ = F r = F x r

the bold are vectors. The angular and linear acceleration are related

a = α r=

τ = m (α r) r

τ = (m r²) α

the inertia of the rotational motion is

I = m r²

we substitute

τ = I α

whereby the torque is provided by the angular acceleration.

As an example we have:

* a spinning disk

* a ball rotating in the air

* a pulley

2) The rotational momentum is

L = I w

the moment of inertia of a rod that through its center

I = m L²

we substitute

L = m L² w

let's calculate

L = 6 1.5 2 16

L = 216 Kg m² / s

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Answer from: Quest

the answer to this is proletariats.

hope this : )

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