Calculator
Formula Used
The calculator first counts candidates in each range.
Nx = floor((xmax - xmin) / step) + 1
Total grid = Na × Nb × Nc. The third term is used only for gravitational force.
Estimated evaluations = Total grid × sample percent × remaining work after early stopping
Runtime = evaluations × time per evaluation / (cores × efficiency)
Energy = runtime hours × system watts / 1000
The selected physics model then checks candidate outputs. The closest value is the candidate with the smallest absolute error.
How to Use This Calculator
Select a physics model. Enter the target result you want to match. Add ranges and step sizes for A, B, and C. Use C only for gravitational force. Set runtime assumptions, processor cores, efficiency, and system watts. Press Calculate. Review the closest candidate, total checks, runtime, energy, and memory estimates. Export the report when needed.
Example Data Table
| Model | A range | B range | C range | Target | Purpose |
|---|---|---|---|---|---|
| Force | 1 to 20 kg, step 1 | 1 to 15 m/s², step 0.5 | Unused | 120 N | Find mass and acceleration pairs. |
| Kinetic energy | 1 to 10 kg, step 0.25 | 1 to 40 m/s, step 0.5 | Unused | 500 J | Estimate velocity and mass settings. |
| Projectile range | 5 to 60 m/s, step 1 | 10 to 80 degrees, step 1 | Unused | 150 m | Search launch settings. |
| Gravity | 1000 to 5000 kg | 1000 to 5000 kg | 1 to 20 m | 0.001 N | Compare attraction across distances. |
Brute Force Search in Physics
A brute force algorithm tests many possible inputs. It does not guess from a curve. It checks each candidate in a planned grid. In physics, this is useful when formulas are simple, but constraints are mixed. The method can sweep mass, speed, angle, distance, voltage, resistance, or other variables. It then compares each result with a target value.
Why This Calculator Helps
This calculator estimates the search size before work begins. It counts grid points from each range and step. It estimates runtime from evaluation time, cores, and parallel efficiency. It also estimates energy use from system power. These values help users avoid impossible searches. Small step sizes improve resolution, yet they can create millions of combinations. A clear estimate prevents wasted simulation time.
Physics Models Included
The tool supports common physics relationships. Force uses mass and acceleration. Kinetic energy uses mass and velocity. Projectile range uses launch speed and angle. Electrical power uses voltage and resistance. Gravitational force uses two masses and a separation distance. Each model uses brute force to find the closest result to the target.
Accuracy and Cost
Brute force accuracy depends on spacing. A finer step can find a closer match. It also increases the number of trials. The best setting balances resolution and cost. Early stopping can reduce work when a tolerance is reached. Sampling can also reduce checks when a full grid is too large. These shortcuts should be used carefully, because missed points may hide a better answer.
Practical Workflow
Start with wide ranges and coarse steps. Review the best candidate and error. Then narrow the ranges around that candidate. Reduce the step size only after the region is known. This staged process gives better accuracy without excessive work. It is useful for classroom labs, design studies, and simulation planning.
Interpreting Results
The closest value is not always the true optimum. It is the best value found inside the chosen grid. If the reported error is high, change the range, step, or target. Check the estimated memory before storing many candidates. Exporting results helps compare experiments and repeat settings later. For best practice, document units, constants, and assumptions before trusting any brute force result in a report.
FAQs
What does this brute force calculator do?
It tests candidate values across selected physics ranges. It finds the closest model output to your target. It also estimates runtime, energy, memory, and total evaluations.
Is brute force always accurate?
It is accurate only within the chosen grid. Smaller steps usually improve accuracy. They also increase combinations, runtime, and energy cost.
Why does step size matter?
Step size controls spacing between tested values. A large step may miss a close answer. A tiny step may create too many candidates.
What is early stopping?
Early stopping reduces work when a result reaches the tolerance. It is useful when any acceptable answer is enough. It may stop before checking every candidate.
Why is my search sampled?
The calculator caps actual checks to keep the page responsive. It still estimates the full grid. Increase maximum actual checks for deeper local testing.
Which models are included?
Included models are force, kinetic energy, projectile range, electrical power, and gravitational force. Each model uses its common physics equation.
Can I use this for simulations?
Yes. Use it to plan ranges and costs before long simulations. It helps identify practical steps, hardware needs, and likely runtime.
What do the CSV and PDF buttons export?
They export the selected model, target, combinations, best candidate, errors, runtime, energy, and memory estimates. Use them for reports or records.