6 - Basic Science Problems Formulas

Voltage, Current, and Resistance Equation

V = IR

Total Resistance in Parallel

Total Resistance in Series

Rt = R1 + R2 + R3

Potential Energy and Heat Equation: Waterfalls

PE = Q → m g h = m Cp T

1 N = 1 ?

1 N = 1 kg-m/s²

Gold Statue at Rest and Completely Immersed: Tension

T = W - Fb

Gold Statue at Rest and Completely Immersed: Buoyancy Force

Fb = Vol_water x p_water x g

Gold Statue at Rest and Completely Immersed: Vol_water

Vol_water = m / p_gold

Gold Statue at Rest and Completely Immersed: p_gold

p_gold = SG_gold * p_water

Volume of Cylinder

Vol_cyl = pi/4 x d² x L

Volume of Cylinder considering volumetric flow

Vol_cyl = Vol_flow / Time

Open System

ENERGY IN = ENERGY OUT

H1 + PE1 + KE1 + (Q OR W)1 = H2 + PE2 + KE2 + (Q OR W)2

Open System

ENERGY IN = ENERGY OUT

H1 + PE1 + KE1 + (Q OR W)1 = H2 + PE2 + KE2 + (Q OR W)2

Bernoulli Equation

Conservation of Mass

Q1 = Q2 → A1V1 = A2V2

Solving for Mass of Fuel flow considering Total Heat

Qt / Eff = M_fuel x HV_fuel

Total Heat Equation considering water and boiled water

Qt = Qwater + Qboil = mwater x Cp x T + mboil x LHF

Latent Heat of Evaporation

LHF = 2257 kJ/kg

Boyle’s

Boyle’s: T=C: P1V1 = P2V2