discussion
| concept | translation | connection | rotation | |||
|---|---|---|---|---|---|---|
| base quantities | s, r | s = | θ × r | θ | ||
| coordinate systems | r = |
x î + y ĵ |
x = y = r2 = θ = |
r cos θ r sin θ x2 + y2 tan−1 (y/x) |
r = |
r r̂ + θ θ̂ |
| velocity | v = | dr/dt | v = | ω × r | ω = | dθ/dt |
| acceleration | a = | dv/dt = d2r/dt2 | a = | α × r − ω2r | α = | dω/dt = d2θ/dt2 |
| equations of motion | v = x = v2 = |
v0 + at x0 + v0t + ½at2 v02 + 2a(x − x0) |
ω = θ = ω2 = |
ω0 + αt θ0 + ω0t + ½αt2 ω02 + 2α(θ − θ0) |
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| The Physics Hypertextbook © 1998–2013 Glenn Elert |
No condition is permanent.