Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem describes a solenoid with the following parameters: Length $l = 62.8 cm = 0.628 m$ Diame...
ElectromagnetismInductanceResistanceRL circuitMagnetic FieldMagnetic EnergySolenoid
2025/5/10
The image contains several physics problems. I will focus on problem IV. A long solenoid has a lengt...
ElectromagnetismInductanceSolenoidPhysicsFormula application
2025/5/10
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