Pendulum swing from 1deg to 2 deg

[Kaxa2000]

A pendulum swings through a maximum arc of one degree in 1 sec. Later, the pendulum is made to swing through a max of 2 degrees. What is the time required for the 2 degree arc?

T = 2pi(L/g)^(1/2)

Is the time the same since the swing depends on only the length and gravity due to acceleration?

 

[fatra2]

Hi there,

Have you never used a swing a kid, and noticed that the period is the same whether you rock just a bit or whether you make the whole structure jump around. This is a real life problem. Now if you want to have a mathematical model that explain that, you gave the equation, in which the amplitude of the movement is not involved in the period.

And it works. Mathematical modeling can explain a real life problem. YEAH!

I did not sutdy all these years for nothing.

Just kidding about the last part.

Cheers

 

[Redbelly98]

Is the time the same since the swing depends on only the length and gravity due to acceleration?

Yes.

 

[Kaxa2000]

Thanks for the confirmation