Finding magnitude of maximum angle theta for oscillation

[kojack21]

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

 

[rootX]

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.

 

[kojack21]

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?

 

[rootX]

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"?