How long does it take for the pendulum to swing to the opposite side?

[drifter8027]

Homework Statement

I searched and got nothing, I am also new here as my friend recently introduced me to this forum last night. I have gotten every single problem correct except this one so here goes:

A 300 g mass on a 1.0 m long string is pulled 8.8° to one side and released. How long does it take for the pendulum to reach 4.4° on the opposite side?

I only have one more try or else i lose all my credit (webassign ah) but any help is appreciated. Thank you!

Homework Equations

T = 2*pi*sqrt(L/g)
3T/4 = answer

The Attempt at a Solution

T= 2*pi*sqrt(1.0/9.81)

 

[merryjman]

Why do you say 3T/4 is the answer? From a rational standpoint, it will take less than T/2 to get to 4.4 degrees - its halfway point - since its average speed is greater than going from 4.4 to 8.8 degrees...it will take T/4 to get to equilibrium from its initial position., for sure, but from there you can't use ratios.

 

[drifter8027]

Yeah I suppose that my submission really doesn't make sense at all. But it was my last problem it's been a long day.