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Angular Speed Between 2 rims attached by a belt

  • Thread starter dimmermanj
  • Start date
  • #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
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
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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