📚 Physics calculators
The physics calculators cluster covers introductory study math: kinematics, Newton’s laws, energy, density, pressure, Ohm’s law, mechanical and electrical power, efficiency, lab percent error, work, momentum, impulse, weight, Hooke’s law, waves (wavelength and period), and centripetal acceleration—each on a single-intent URL. Academic grades, Energy utilities KPIs, and Professional efficiency live on their own hubs.
Run introductory physics study math in one place: velocity, acceleration, F = ma, kinetic and gravitational potential energy, density, pressure, Ohm’s law, mechanical and electrical power, efficiency %, lab percent error, plus Wave 2 tools for work, momentum, impulse, weight, Hooke’s law, wavelength, period, and centripetal acceleration. Keep SI (or clearly labeled) units identical across inputs. Academic grades, Energy utilities tools, and Professional efficiency live on their hubs—do not swap those denominators into homework packs.
Key facts
| Primary audience | Students, tutors, and teachers working introductory physics problems |
|---|---|
| Core formulas | v=d/t, a=(v−u)/t, F=ma, KE/PE, work, momentum, impulse, waves, Ohm’s law, efficiency %, % error |
| Category | Physics study / homework / lab |
| Related hubs | Academic (grades); Energy (utilities); Professional (efficiency KPI) |
Definitions
Average velocity
Distance ÷ time for the interval—not instantaneous velocity.
Impulse
Force × time for a constant force—equals change in momentum when that force is the net impulse.
Wavelength
Wave speed ÷ frequency (λ = v/f)—distinct from period T = 1/f.
Electrical vs mechanical power
Electrical P = V×I; mechanical average power is work ÷ time—same watt unit, different inputs.
Formulas
- Velocity: Distance ÷ Time
- Acceleration: (Final − Initial velocity) ÷ Time
- Force: Mass × Acceleration
- Kinetic energy: ½ × Mass × Velocity²
- Gravitational PE: Mass × g × Height
- Density: Mass ÷ Volume
- Pressure: Force ÷ Area
- Ohm’s law current: Voltage ÷ Resistance
- Ohm’s law voltage: Current × Resistance
- Power (mechanical): Work ÷ Time
- Power (electrical): Voltage × Current
- Efficiency %: Useful output ÷ Total input × 100
- Percent error: |Experimental − Accepted| ÷ Accepted × 100
- Work: Force × Distance
- Momentum: Mass × Velocity
- Impulse: Force × Time
- Weight: Mass × g
- Hooke’s law: k × Extension
- Wavelength: Wave speed ÷ Frequency
- Period: 1 ÷ Frequency
- Centripetal acceleration: Speed² ÷ Radius
Comparison table
| Topic | Guidance |
|---|---|
| Velocity vs acceleration | Velocity is distance÷time; acceleration is change in velocity÷time. |
| Work vs impulse | Work is F×d (energy); impulse is F×t (momentum change). |
| Momentum vs kinetic energy | Momentum is mv; KE is ½mv². |
| Weight vs F = ma | Weight is mg; F = ma covers any acceleration including g. |
| Wavelength vs period | Wavelength is distance per cycle; period is time per cycle. |
| Mechanical power vs electrical power | W÷t vs V×I—same watt unit, different inputs. |
| Ohm current vs Ohm voltage | I = V/R vs V = I×R—same law, different solved variable. |
| Linear vs centripetal acceleration | (v−u)/t vs v²/r for circular paths. |
| Physics efficiency vs Professional efficiency | Same ratio shape; use Physics for study problems and Professional for ops KPIs. |
| Physics PE vs Energy hub | Gravitational PE is classroom mgh; Energy hub covers utilities/grid KPIs. |
Glossary references
Reinforce entities by pairing percent language with conversion pages when learners mix fractions, decimals, and ratios.
❓ Frequently Asked Questions
Are these engineering design tools?
No. They are educational study calculators. Confirm units and formulas with your textbook or instructor.
Is gravitational PE the same as the Energy utilities hub?
No. Energy hub tools are grid/utilities KPIs. This hub’s PE tool is classroom mgh.
How do mechanical and electrical power differ?
Mechanical average power is work ÷ time. Electrical power here is V × I. Both use watts when SI units match.
Is physics efficiency the same as Professional efficiency?
Same ratio shape. Use this hub for homework; use Professional for workplace KPI wording.
Do I have to use SI units?
Any consistent unit system works, but SI (m, kg, s, N, J, Pa, A) matches most course answers.
Do these replace a lab notebook?
No. They compute transparent formulas from your inputs—lab procedures and accepted values remain authoritative.