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kupik [55]
3 years ago
13

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
Physics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

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

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