Wave Motion> What happens to the frequency of a swing ...

What happens to the frequency of a swing as its oscillations die down from large amplitude to small ?

Shane Macguire , 10 Years ago

Grade upto college level

3 Answers

Jitender Pal

Last Activity: 10 Years ago

The frequency of the damped oscillator is,
wʹ = √k/m – (b/2m)²
The greater is the damping constant b, the more quickly the amplitude of the oscillation dies out. When damping is present, the oscillation frequency is smaller (the period is larger). That is, damping slows down the motion, as we might expect. If the damping constant b = 0 (no damping), then wʹ = √k/m, which is simply the angular frequency w of the undamped motion.

pa1

Last Activity: 9 Years ago

The greater is the damping constant b, the more quickly the amplitude of the oscillation dies out. When damping is present, the oscillation frequency is smaller (the period is larger). That is, damping slows down the motion, as we might expect. If the damping constant b = 0 (no damping), then wʹ = √k/m, which is simply the angular frequency w of the undamped motion. ²The frequency of the damped oscillator is,wʹ = √k/m – (b/2m)

pa1

Last Activity: 9 Years ago

The frequency of the damped oscillator is,wʹ = √k/m – (b/2m)²The greater is the damping constant b, the more quickly the amplitude of the oscillation dies out. When damping is present, the oscillation frequency is smaller (the period is larger). That is, damping slows down the motion, as we might expect. If the damping constant b = 0 (no damping), then wʹ = √k/m, which is simply the angular frequency w of the undamped motion.