數物化公式

物理

力學與運動學

等加速度運動公式

壓力與浮力

基本測量

密度

D(ρ) = 密度、M = 質量、V = 體積

D = M ⁄ V

力學與運動學

移動

Δx = 位移、v = 速度、a = 加速度

F = 力、p = 動量、J = 衝量

v = Δx ⁄ Δt

a = Δv ⁄ Δt

F = Δp ⁄ Δt = ma

p = mv

J = Δp = FΔt = mΔv

等加速度運動公式

v₂ = v₁ + at
Δx = v₁t + ½ at²
v₂² = v₁² + 2aΔx

力學定律

G = 萬有引力常數 ≒ 6.67×10⁻¹¹(N ∙ m² ⁄ kg²)

k = 庫侖常數 ≒ 8.988×10⁹(N ∙ m² ⁄ C²)

牛頓萬有引力定律：F = GMm ⁄ r²

庫侖定律：F = kQq ⁄ r²

資料來源：Wikipedia

轉動

θ = 角位移、ω = 角速度、α = 角加速度

τ = 力矩、L = 角動量

ω = dθ ⁄ dt = v ⁄ r = 2π ⁄ T

α = dω ⁄ dt = d²θ ⁄ dt² = aᴛ ⁄ r

τ = r × F = ΔL ⁄ Δt

L = r × p = rmv sinθ = r²mω sinθ

資料來源：圓周運動

圓周運動

vᴄ = ωr = 2πr ⁄ T

aᴄ = ωv = v² ⁄ r = ω²r

= (2π ⁄ T)²r

壓力與浮力

P = 壓力、B = 浮力、A = 面積、h = 深度

P = F ⁄ A = ρgh

B = V × ρ ≤ −W

能量學

Eᴋ = 動能、U = 位能

W = 功、P = 功率

Ek = ½ pv = ½ mv²

Ug = mgh

W = F ∙ Δx

P = W ⁄ t = F ∙ v

電學

V = 電壓、I = 電流、R = 電阻

W = 電能、P = 功率、Q = 電量、C = 電容

V = IR = W ⁄ Q

I = V ⁄ R = Q ⁄ t

W = Pt = VQ

P = IV = I²R = V² ⁄ R

C = Q ⁄ V

熱學

H = 熱量、M = 質量、S = 比熱、T = 溫度

ΔH = MSΔT

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