Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
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
Steam enters a turbine with a pressure of $2 \times 10^6 Pa$ and a temperature of $250^\circ C$. Th...
ThermodynamicsSteam TurbineEnergy EquationHeat TransferDryness FractionSpecific Volume
2025/5/10
The problem asks to calculate the force applied to the piston of a diesel engine. The diameter of th...
PhysicsMechanicsForce CalculationUnit ConversionArea CalculationEngineering
2025/5/10
The problem asks us to calculate the force exerted on the piston of a diesel engine during combustio...
PhysicsForce CalculationArea CalculationUnits ConversionEngineering
2025/5/10
In a Diesel engine, the diameter of the piston is $d = 800$ mm. The pressure during the combustion p...
PhysicsPressureAreaForceUnits Conversion
2025/5/10
The problem asks to calculate the force exerted on a piston in a diesel engine. The diameter of the ...
PhysicsEngineeringForcePressureAreaUnits ConversionDiesel Engine
2025/5/10
The problem asks to calculate the force exerted on the piston of a diesel engine. The diameter of th...
PhysicsMechanicsPressureAreaForceUnit ConversionEngineering
2025/5/10
The problem asks to find the Laplace transforms of two functions: (a) $f(t) = e^{-3t}$ (b) $f(t) = \...
Laplace TransformIntegral CalculusExponential FunctionsTrigonometric Functions
2025/5/9
The problem asks to predict the scores for how successful people will be based on how much they stud...
Linear EquationsModelingPredictionRegression Analysis
2025/5/8