Engineering Prompts

Solve for drag force or drag coefficient using the drag equation, or explain why drag scales with velocity squared through a worked example.

Calculate a photovoltaic system's energy output from panel area, yield, radiation, and performance ratio, either checking an answer or building a new sizing scenario.

Solve for pressure, velocity, or height at a point in a moving fluid using Bernoulli's equation, applying the continuity equation first when pipe diameter changes.

Generate a step-by-step Reynolds number calculation from density, velocity, length, and viscosity, then classify the flow as laminar, transitional, or turbulent.

Solve for hydroelectric turbine power, flow rate, or head height using the power formula, with every substitution and unit shown clearly.

Practice solving Newton's law of viscosity, shear stress equals dynamic viscosity times the velocity gradient, with a full worked answer key for fluid-layer scenarios.

Solve for centroid of a composite beam cross-section or truss layout by breaking it into simple shapes weighted by area, for statics, not rotational dynamics.

Solve for pressure, depth, or fluid density using the hydrostatic pressure formula, with every substitution verified and the container-shape independence explained.

Solve for wind turbine power using air density, swept area, wind speed cubed, and the power coefficient, explaining the velocity-cubed relationship and the Betz limit.

Practice classifying dead, live, wind, and seismic loads, tracing a roof-to-foundation load path, and calculating beam reaction forces, checked or generated with an answer key.

Solve for Young's modulus, stress, strain, or elongation using stress over strain, with stress and strain calculated as separate explicit steps.

Solve for output force, input force, or piston area in a hydraulic system using Pascal's law, with every substitution and unit shown.

Practice identifying the elastic region, yield point, ultimate tensile strength, and fracture point on a stress-strain curve, either checked or generated with an answer key.

Solve for a beam's bending stress using the flexure formula, or its shear stress using the shear formula, with the two stresses clearly told apart.

Solve every member force in a statically determinate truss using the method of joints, showing equilibrium equations and labeling each member tension or compression.

Solve for gear ratio, output speed, or output torque from gear tooth counts, or explain the formula through a worked example, with substitution steps shown.

Solve for maximum deflection of a cantilever or simply supported beam under a point or distributed load, using the matching formula with every substitution shown.