Constant angular acceleration problem

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SUMMARY

The discussion revolves around solving a constant angular acceleration problem involving a drive that takes 0.480 seconds to complete its second revolution. Participants clarify that to find the time for the first revolution, one must first determine the angular acceleration using the formula \( \theta = \omega_0 t + \frac{1}{2} a t^2 \). The correct approach involves using the relationship between angular displacement and time for both the first and second revolutions, leading to the conclusion that the time for the first revolution is approximately 0.339 seconds.

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  • Familiarity with angular displacement and acceleration concepts
  • Basic algebra for solving equations
  • Knowledge of radians and their application in rotational motion
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  • #31
how to Divide these two equations to get a cancel ?
 
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  • #32
2pi/4pi = 1/2*a*t^2/1/2a*(t+0.48)^2
1/2 = t^2/(t+0.48)^2
solve for t
 
  • #33
that give t=0.48
which it like not solving anything :(
 
  • #34
Cross multiplying the above expression we get (t + 0.48 )^2 = 2t^2
Taking sqrt. on both side we get t + 0.48 = 1.41t or 0.41t = 0.48 or t = 0.48/0.41
 
  • #35
woot u were right
LOL stupid me
thank you
 

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