What Is the Maximum Vertical Acceleration of a Pendulum?

Luke1121
Messages
14
Reaction score
0

Homework Statement


A pendulum has a length of 0.5m and an amplitude of oscillation of 8 degrees, what is maximum vertical acceleration

Homework Equations


[itex]X=Acos(\omega t + \phi)[/itex]
[itex]\omega =\frac{2\pi}{T}[/itex]
[itex]T=2\pi \sqrt{\frac{l}{g}}[/itex]

The Attempt at a Solution


Taking the second derivative with respect to time for
[itex]X=Acos(\omega t + \phi)[/itex] then
[itex]a=-\omega^2Acos(\omega t + \phi)[/itex]
[itex]\omega[/itex] can be obtained using [itex]T=2\pi \sqrt{\frac{l}{g}}[/itex] and doing [itex]2\pi[/itex] divided by this, but I am unsure how to find [itex]A[/itex] Am I on the right lines? Thanks
 
What is A in this formula?
Remember that you need vertical component of acceleration.
 

Similar threads

Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 0 ·
Replies
0
Views
2K