Finding magnitude of maximum angle theta for oscillation

AI Thread Summary
To find the maximum angle theta for a pendulum oscillating with an initial angular velocity of 47.5 rad/s and an angular frequency of 60.7 rad/s, the relationship between kinetic energy and amplitude can be utilized. The discussion highlights confusion regarding the definitions of angular velocity and angular frequency, particularly in the context of small oscillations. Participants suggest using energy equations and trigonometric relationships to derive the maximum angle, but there is uncertainty about the correct approach. Clarification is sought on the terms used and the calculations involved. Understanding these concepts is essential for solving the problem accurately.
kojack21
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Homework Statement



Suppose at t=0, theta=0 degrees a pendulum swings to the left with angular velocity wo=47.5 rad/s. Find the magnitude of the maximum angle theta for the oscillation. Given w=60.7 rad/s, and wo=47.5 rad/s, where w is angular frequency of the small oscillation. Answer in units of rad.


Homework Equations


v=-wA
w= sqrt(g/r)

The Attempt at a Solution



I have NO idea! Someone please help, I don't even know if my equations are right...any info would be nice. Thanks
 
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may be solved using energy equations (if you don't want to use calculus, sounds like a calculus question to me)

So, I guess it's @ the lowest position @ theta=0
and thus if you can find kinetic energy, you would be able to get amplitude
and using trignometry, you will be able to find the maximum angle.
 
The class I am taking is algebra based, but I don't know what approach to use to start the problem. I am not sure what to do. Someone told me to do R= g/w^2 and A= woR/w...so sin theta= A/R and you would get your angle, but that is wrong. Any other thoughts?
 
I really don't have any clue about what is w...

I am guessing that wo is the angular velocity when the pendulum is @ the bottom.., and it is 47.5..

Can you please clarify over w and what do you mean by "small oscillation"?
 
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