Formula Vault 2027

Complete Agricultural Engineering Formula Sheet

Comprehensive high-yield formula reference covering all 8 syllabus sections for GATE Agricultural Engineering (AG).

1. Farm Power & Tractor Systems

Drawbar Power = P_db = (Draft × Speed) / 3.6

Wheel Slip = S = (1 - V_actual / V_theoretical) × 100%

Dynamic Weight Transfer = ΔW = (P_db × h) / WB

2. Farm Machinery Engineering

Effective Field Capacity = EFC = (W × S × e) / 10

Implement Specific Draft = D_sp = D / (w × d)

Combine Cylinder Loss = L_c = (W_unthreshed / W_total) × 100%

3. Soil & Water Conservation

Manning's Equation = V = (1/n) · R^(2/3) · S^(1/2)

Rational Runoff Equation = Q = (C · I · A) / 360

Universal Soil Loss Equation = A = R · K · L · S · C · P

4. Irrigation & Drainage Engineering

Theis Confined Well = s = (Q / 4πT) · W(u)

Hooghoudt Spacing = S² = (4K1 h² + 8K2 d h) / q

Crop Water Requirement = ETc = Kc · ETo

5. Agri Processing Engineering

Page Thin Layer Drying = MR = exp(-k · t^n)

Bond's Law of Crushing = E = 10 · Wi · (1/√d2 - 1/√d1)

Psychrometric Enthalpy = h = 1.006 T + w (2501 + 1.88 T)

6. Dairy & Food Engineering

Plank's Freezing Time = tf = (ρ L / ΔT) · [P a / h + R a² / k]

LMTD = ΔT_lm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)

Thermal Death Time = F = D · (log a - log b)

7. Engineering Mathematics

Newton-Raphson = x_{n+1} = x_n - f(x_n) / f'(x_n)

Simpson's 1/3 Rule = ∫y dx = (h/3) [y0 + 4∑y_odd + 2∑y_even + yn]

Eigenvalues = det(A - λI) = 0

8. General Aptitude

Relative Speed = S1 + S2 (Opposite) | S1 - S2 (Same)

Combined Work Rate = 1/T = 1/T1 + 1/T2

Combinations = nCr = n! / [r! (n - r)!]

Practice Questions Using These Formulas

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