Conservation of Angular Momentum in Molecular Cloud Collapse

In summary, a molecular cloud with a diameter of 0.2 light years and a rotation period of 1.4 × 10^7 years is given a hypothetical scenario where it collapses to the size of our Sun. The question asks for the new rotation period if angular momentum is conserved. The answer depends on the original angular momentum of the cloud before collapse, which is not specified.
  • #1
Meganwright
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Homework Statement



A molecular cloud 0.2 light years across rotates once every 1.4 ×107 years. If it were to collapse to the size of our Sun, how long would it take to rotate once if it conserved angular momentum given by mvr, where m is mass, v is the circular rotation speed and r is the radius. Is this reasonable in this case?

Homework Equations



l=mvr

The Attempt at a Solution


the suns rotation is approx 26.8 days
the radius i worked out to be 0.1 x 9.4605284 × 10^15 metres = 9.4605284 x 10^14 metres
rotation= 1.4 x 10 ^7 years
do i also use the mass of the sun?
in which case m=1.99 x 10^30 kg?

then sub into
l=mvr ?
 
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  • #2
You don't care about the mass or the rotation rate of the Sun. On collapse, the mass will be the same as the original cloud.
What is the angular momentum of the cloud before collapse? (I don't know whether you're supposed to assume a ball or a disc.)
 

Related to Conservation of Angular Momentum in Molecular Cloud Collapse

What is conserved angular momentum?

Conserved angular momentum, also known as rotational momentum, is a physical quantity that describes the amount of rotational motion an object has around an axis. It is a vector quantity, meaning it has both magnitude and direction, and is conserved in a closed system, meaning it remains constant unless acted upon by an external torque.

How is angular momentum conserved?

Angular momentum is conserved because of the law of conservation of angular momentum, which states that in a closed system, the total angular momentum remains constant. This means that if there are no external torques acting on an object or system, the angular momentum will remain the same.

What are some examples of conserved angular momentum?

Some examples of conserved angular momentum include a spinning top, a spinning ice skater, and a swinging pendulum. In each of these cases, the angular momentum remains constant as there are no external torques acting on the system.

How is angular momentum different from linear momentum?

Angular momentum and linear momentum are both physical quantities that describe motion, but they differ in the type of motion they describe. Linear momentum is a measure of an object's motion in a straight line, while angular momentum is a measure of an object's rotational motion around an axis.

Why is conserved angular momentum important in science?

Conserved angular momentum is important in science because it is a fundamental law of nature that helps us understand and predict the behavior of objects and systems in motion. It is also important in fields such as astronomy, where the conservation of angular momentum plays a crucial role in the formation of planetary systems and galaxies.

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