Two problems involving angular velocity:

[Bob Loblaw]

Two problems involving angular velocity:

Edit: Problem one solved! Hooray!

2.The Milky Way galaxy rotates about its center with a period of about 192 million years. The Sun is 2x10^20 m from the center of the galaxy. How fast is the Sun moving with respect to the center of the galaxy?

For this problem I took 2pi/T which gave me 2pi/192000000 and multiplied the result by 2x10^20m. I then expressed the answer in kilometers which gave me 6544984695km. This was not correct. Any suggestions?

Thanks for your generous help!

 

[learningphysics]

The number you have is in units of km/year... are these the units you need?

 

[Bob Loblaw]

Yes - it was indeed a problem of units. I took 2pi/(195 million years)(second in a year) * 2.0x10^20 and came up with the correct answer once I converted centimeters into kilometers.

Thanks!