Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
We are given several physics problems involving capacitors, inductors, RL circuits, and solenoids. W...
RL CircuitsCircuit AnalysisTime ConstantExponential DecayPhysics
2025/5/10
A mass of 2 kg of water at 18°C is poured into a well-insulated container (figure 3.10) whose temper...
ThermodynamicsHeat TransferSpecific HeatEnergy Conservation
2025/5/10
A mass of 2 kg of water at a temperature of $18^{\circ}C$ is poured into a well-insulated container ...
ThermodynamicsHeat TransferSpecific HeatEnergy Conservation
2025/5/10
A steam of high pressure with mass $m = 8000 \, \text{kg}$ enters a steam network pipe with velocity...
PhysicsKinetic EnergyEnergy Conservation
2025/5/10
Steam enters a ship's turbine with a pressure of $6205 \, kN/m^2$ and a velocity of $30.48 \, m/s$. ...
ThermodynamicsTurbineEnergy EquationEnthalpyHeat TransferFluid Mechanics
2025/5/10
A gasoline engine on a ship has a power of 50 kW. The combustion chamber receives 15 kg/h of fuel an...
ThermodynamicsEnergy BalanceHeat TransferEngineeringFuel Combustion
2025/5/10
A steam turbine installation has a steam condenser that receives 34,100 kg of steam per hour with an...
ThermodynamicsHeat TransferEnthalpyHeat CalculationMass Flow Rate
2025/5/10
A nozzle converts enthalpy into kinetic energy. Air enters the nozzle with a pressure of $27.2$ bar,...
ThermodynamicsFluid DynamicsNozzleEnergy EquationHeat Transfer
2025/5/10
Steam with a mass flow rate of $6000 \, \text{kg/h}$ enters a turbine. The inlet area is $1.5 \, \te...
Fluid DynamicsMass Flow RateTurbineSpecific VolumeVelocity
2025/5/10
Water enters a pipe with a velocity of $1.5 \, m/s$ and a diameter of $0.1 \, m$. The diameter at th...
Fluid DynamicsMass Flow RateContinuity EquationArea CalculationVelocity Calculation
2025/5/10