Two problems involving angular velocity:

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SUMMARY

The discussion centers on calculating the angular velocity of the Sun in the Milky Way galaxy, which has a rotation period of approximately 192 million years. The initial calculation used the formula 2π/T, where T is the period, but resulted in an incorrect unit of km instead of km/year. The correct approach involved converting the period into seconds and ensuring proper unit conversion, leading to the accurate calculation of the Sun's velocity as approximately 6.54 billion km/year.

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

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