🔥 SUPERXULETA TOTAL PAU 2026

📐 TRIGONOMETRIA

$$\sin A=\frac{catet}{hip}$$
$$\cos A=\frac{catet}{hip}$$
$$\tan A=\frac{catet}{catet}$$
$$\sin^2A+\cos^2A=1$$
$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$$
$$c^2=a^2+b^2-2ab\cos C$$
$$2\pi=360º$$
TRUC: radians → molt important en CA

🔩 FORCES

$$F=ma$$
$$F=mg$$
$$\sum F=0$$
$$\sum M=0$$
$$M=Fd$$
TRUC: equilibri → suma forces = 0

⚙️ MECANISMES

$$\omega=\frac{2\pi n}{60}$$
$$v=\omega r$$
$$P=Fv$$
$$P=\omega M$$
$$\tau=\frac{n_1}{n_2}=\frac{D_2}{D_1}$$
TRUC: potència constant → velocitat baixa → força alta

⚡ ELECTRICITAT

$$V=IR$$
$$P=VI$$
$$E=Pt$$
$$Q=CV$$
$$Z=\sqrt{R^2+(X_L-X_C)^2}$$
TRUC: cosφ mai >1

🔋 ENERGIA

$$E=P t$$
$$E_k=\frac12mv^2$$
$$\eta=\frac{E_u}{E_a}$$
$$p_c=\frac{E}{m}$$
$$E=mc^2$$
TRUC: rendiment ≤ 1 sempre

🏭 CENTRALS

$$E_{hid}=\eta mgh$$
$$E_{eolica}=0.285 D^2 v^3$$
$$E=\eta P t$$
TRUC: vent depèn de v³ (importantíssim)

🔥 TERMODINÀMICA

$$\Delta U=Q-W$$
$$PV=nRT$$
TRUC: temperatura sempre en K

🧱 MATERIALS

$$\sigma=\frac{F}{A}$$
$$\varepsilon=\frac{\Delta L}{L}$$
$$\sigma=E\varepsilon$$
TRUC: deformació sense unitats

🤖 LÒGICA

$$AND=AB$$
$$OR=A+B$$
$$NOT=\bar A$$
$$C=2^n$$
TRUC: Karnaugh surt molt