Is this tangential velocity or angular velocity?

  1. Here is the homework question...

    According to the Guinness Book of World Records, the highest rotary speed ever attained was 2010m/s(4500mph). The rotating rod was 15cm(6in.) long. Assume the speed quoted is that of the end of the rod. What is the centripetal acceleration of the end of the rod?

    So I think since they say rotary speed they are talking about angular velocity here. so i would say angular velocity (w) = 2010m/s. Is this correct? or is it tangential velocity (v) = 2010m/s?

    is there a certain way to tell the difference between tangential velocity and angular velocity in a question.

    Thanks in advance
  2. jcsd
  3. Chi Meson

    Chi Meson 1,772
    Science Advisor
    Homework Helper

    Yes, look at the unit. Here it is 2010 m/s. This is a linear velocity unit. angular velocity is in angular units per unit of time, such as "rotations per second", "revolutions per minute", "degrees per second." The SI unit for [tex]\omega[/tex] is radians per second.
  4. Thank you that makes it easier to tell.

    Also I was looking at it again and another question popped in my head.

    When i first looked at the problem I was assuming that radius=15cm but then after looking at it some more i was thinking is it diameter = 15cm or is it radius = 15cm

    does anyone know?
  5. Chi Meson

    Chi Meson 1,772
    Science Advisor
    Homework Helper

    There is no way that the diameter is 15 cm. Either the rod is rotating about its end and the radius is 15 cm, or the rod is roatating about its middle, and the radius will be 7.5 cm.

  6. umm... thats the same thing. diameter is 15 means that radius is 15/2=7.5

    soooo... is'nt that contradicting statements.
  7. Chi Meson

    Chi Meson 1,772
    Science Advisor
    Homework Helper

    Um, yes I was, um,... seing if...

    I was checking to see if... you were...paying attention.

    Very good.

    [I have no idea what I was thinking last night! happens]
  8. no worries
    thanks for your help.
    i was able to solve the problem
  9. Did you figure it out or no? I'm doing that exact problem now, except it's 15.3 not 15. is it rotating around the middle or about the end?

    ahhh. lame physics lol.
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