# Harmonic oscillator and simple pendulum time period

• B
• Misha87
In summary, a simple pendulum will take the same time to complete one period, no matter which length it has, if stiffness and mass are the same. But, for a simple pendulum, with small angle approximation the period changes with its length.
The force applied to the mass is the same no matter how long it is (at least for small angles), so the tangential velocity is the same too. The angular velocity is not the same because of:

w = v/L

The angular velocity for a longer L is less, and for a shorter L more. You need more time to pass the same angle with longer L because arc length is longer.

• Classical Physics
Replies
1
Views
633
• Classical Physics
Replies
4
Views
945
• Classical Physics
Replies
8
Views
1K
• Classical Physics
Replies
3
Views
2K
• Introductory Physics Homework Help
Replies
14
Views
531
• Classical Physics
Replies
10
Views
1K
• Introductory Physics Homework Help
Replies
9
Views
771
• Classical Physics
Replies
131
Views
4K
• Introductory Physics Homework Help
Replies
5
Views
962
• Classical Physics
Replies
7
Views
1K