This shows you the differences between two versions of the page.
Next revision | Previous revision Last revision Both sides next revision | ||
urp:physfreq [2021-11-08] nerf_herder created |
urp:physfreq [2021-11-08] nerf_herder |
||
---|---|---|---|
Line 2: | Line 2: | ||
string, frequency, antinodes: | string, frequency, antinodes: | ||
- | Adjacent antinodes are separated by a distance of 20 cm and waves travel at a speed of 1200 cm/s along the string. What frequency is the string vibrating at? | ||
Ends of a stretched string are called nodes, N. | Ends of a stretched string are called nodes, N. | ||
Line 9: | Line 8: | ||
full sine wave (2N) = wavelength | full sine wave (2N) = wavelength | ||
- | wavelength = 40 cm | + | Example: |
- | freq = v/wavelength, v = velocity of wave | + | Adjacent antinodes are separated by a distance of 20 cm and waves travel at a speed of 1200 cm/s along the string. |
- | 1200/40 = 30 | + | What frequency is the string vibrating at? |
+ | wavelength = 40 cm | ||
+ | freq = v/wavelength, v = velocity of wave | ||
+ | 1200/40 = 30 | ||
**Doppler effect** => F = Fo (v +/- vo) / (v +/- vs) | **Doppler effect** => F = Fo (v +/- vo) / (v +/- vs) | ||
Line 19: | Line 21: | ||
+ | ====Spring and Lever==== | ||
+ | **Hooke's law** for springs: F=-kx, k=spring constant, x = displacement | ||
+ | |||
+ | **Fulcrum**: t = r * f (torque = radius * force) | ||
+ | just add the torques for multiple objects on one side of a fulcrum | ||
+ | |||
+ | ====SHM - Simple Harmonic Motion==== | ||
+ | F = ma => ma = -kx | ||
+ | |||
+ | angular frequency ω = √(k/m) | ||
+ | |||
+ | period of oscillation T = 2π √(m/k) (horizontal or vertical springs) | ||
+ | |||
+ | In a vertical spring, the weight Mg of the body produces an initial elongation to equilibrium, such that Mg − kyₒ = 0. | ||
+ | |||
+ | If y is the displacement from this equilibrium position the total restoring force will be Mg − k(yₒ + y) = −ky | ||
+ | |||
+ | ---------- | ||
+ | Back to the [[Physics]] page or the [[00_start|Start]] page. | ||