   Chapter 34, Problem 6PE

Chapter
Section
Textbook Problem

Our solar system orbits the center of the Milky Way galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note than this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.

To determine

The time to complete one revolution of solar system around Milky Way galaxy.

Explanation

Given data:

Radius of circular orbit is r=3.00×104lyor(3.00×104×9.460×1012km).

Speed of revolution is v=250km/s.

Formula used:

The time for one revolution is,

T=2πrv   ......... (1)

Calculation:

Substitute the given value in equation (1).

T=2π( 3.00× 10 4 ×9.460× 10 12 km)250km/s=7

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