Galactic angular velocity of interstellar cloud

In summary, the conversation discusses the relationship between the Galactic angular velocity and the collapse of an interstellar cloud. It is stated that if the angular velocity is greater than the critical value of sqrt(4piG\rho/3), the cloud will not collapse in the radial direction. The speaker suggests thinking about extremal cases to understand why a higher angular velocity would prevent collapse. They also mention the concept of equilibrium and question where the cloud would be in equilibrium in terms of radial direction.
  • #1
bmace
6
0
I've got a question that I am stumped on right now

Show that if the Galactic angular velocity [tex]\Omega[/tex]
of an interstellar cloud is > sqrt(4piG[tex]\rho[/tex]/3), the cloud can not collapse in the radial direction. Estimate [tex]\Omega[/tex] and compare it to the rotation rate of the Galaxy.
 
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  • #2
What is stumping you?
Start out conceptually, why would a higher angular velocity prevent a cloud from collapsing?---It might help to think about extremal cases.

Under what conditions would the cloud be in equilibrium?---I.e. if it collapses at zero angular velocity, and won't collapse at very high velocities... where will it be in equilibrium (in the radial direction).
 

Related to Galactic angular velocity of interstellar cloud

1. What is the galactic angular velocity of an interstellar cloud?

The galactic angular velocity of an interstellar cloud is the measure of how fast the cloud is rotating around the center of the galaxy. It is usually expressed in units of radians per time, such as radians per million years.

2. How is the galactic angular velocity of an interstellar cloud measured?

The galactic angular velocity of an interstellar cloud can be measured by observing the Doppler shifts in the spectral lines of the cloud. These shifts can be used to calculate the velocity of the cloud and therefore determine its angular velocity.

3. What factors can affect the galactic angular velocity of an interstellar cloud?

The galactic angular velocity of an interstellar cloud can be affected by various factors, including the mass and density of the cloud, the presence of nearby stars or other objects, and the overall gravitational forces in the galaxy.

4. Why is the galactic angular velocity of an interstellar cloud important?

The galactic angular velocity of an interstellar cloud is important because it can provide valuable information about the dynamics and evolution of the galaxy. It can also help scientists understand the formation and movement of interstellar clouds, which are crucial for the formation of new stars.

5. Can the galactic angular velocity of an interstellar cloud change over time?

Yes, the galactic angular velocity of an interstellar cloud can change over time due to various factors such as interactions with other objects, changes in the galaxy's gravitational field, or the cloud's own internal dynamics. Scientists continue to study and monitor these changes to gain a better understanding of galactic dynamics.

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