A given star orbits the center of its galaxy at an average speed of Ustar, at a distance of rstar from the center. The galaxy has 2 spiral arms, and the arms themselves orbit slower than the star -- at the same radius, they orbit at a speed of Varms (in the same direction as the star). The galaxy's age is tgal. In the history of this galaxy, how many times did this star cross through a spiral arm? Values: Vstar 200 km/s rstar = 9 kpc Varms 42 km/s tgal = 5 Gyr Round your answer to the nearest whole number.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A given star orbits the center of its galaxy at an average speed of Ustar, at a distance
of rstar from the center. The galaxy has 2 spiral arms, and the arms themselves orbit
slower than the star -- at the same radius, they orbit at a speed of Varms (in the same
direction as the star). The galaxy's age is tgal.
In the history of this galaxy, how many times did this star cross through a spiral arm?
Values:
Vstar
200 km/s
rstar = 9 kpc
Varms 42 km/s
tgal = 5 Gyr
Round your answer to the nearest whole number.
Transcribed Image Text:A given star orbits the center of its galaxy at an average speed of Ustar, at a distance of rstar from the center. The galaxy has 2 spiral arms, and the arms themselves orbit slower than the star -- at the same radius, they orbit at a speed of Varms (in the same direction as the star). The galaxy's age is tgal. In the history of this galaxy, how many times did this star cross through a spiral arm? Values: Vstar 200 km/s rstar = 9 kpc Varms 42 km/s tgal = 5 Gyr Round your answer to the nearest whole number.
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