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Angular Speed Between 2 rims attached by a belt

  1. Apr 6, 2010 #1
    So i'm new to the Physics Forums and am looking for some help on this problem:

    Wheel A of radius r=10cm is coupled by belt B to wheel C with radius R=25cm.
    the angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s^2.
    Find the time needed for wheel C to reach an angular speed of 100 rev/min, assuming the belt does not slip (hint: the linear speeds of the two rims must be equal)

    my original process of solving was to try and relate the two speeds with a ratio, but that method has proven unsuccessful.


    I get really confused whenever dealing with angular speed so if anyone could help that'd be great!

    thanks
    Jim
     
  2. jcsd
  3. Apr 6, 2010 #2

    rock.freak667

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    Homework Helper

    Ok using your method if

    [tex]\frac{\omega_B}{\omega_C} = \frac{R_C}{R_B}[/tex]


    when ωC is 100 rpm what is ωB ?


    Then you know that


    [tex]\alpha = \frac{\omega_2 - \omega_1}{t}[/tex]
     
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