Mechanics Calculators
Motion, force, energy, torque, and projectile calculators for core mechanics problems.
Tools in Mechanics Calculators
Formula tools for repeated physics work, unit checks, and setup examples.
Velocity Calculator
Calculate average velocity from distance and time using standard SI units.
Acceleration Calculator
Calculate acceleration from velocity change over time.
Force Calculator
Calculate force from mass and acceleration with Newton's second law.
Momentum Calculator
Calculate linear momentum from mass and velocity.
Kinetic Energy Calculator
Calculate kinetic energy from mass and velocity.
Potential Energy Calculator
Calculate gravitational potential energy from mass, height, and gravity.
Work Calculator
Calculate mechanical work from force, displacement, and angle.
Power Calculator
Calculate power from work and elapsed time.
Friction Calculator
Calculate friction force from coefficient of friction and normal force.
Projectile Motion Calculator
Calculate range, flight time, and max height from launch speed and angle.
Free Fall Calculator
Calculate free-fall time, impact speed, initial-velocity effects, and planet-gravity scenarios from a drop height.
Torque Calculator
Calculate torque from force, lever arm, and angle.
Recommended Tools In This Topic
Start with these calculators when you need a related formula, unit, or worked-example check in this physics topic.
Formula Guide
Formulas, units, examples, and limits
Formula scope
- Linear motion: v = d/t, a = delta_v/t, and constant-acceleration free-fall relations.
- Forces and energy: F = m*a, PE = m*g*h, KE = 0.5*m*v^2, W = F*d*cos(theta), and P = W/t.
- Rotation setup: tau = r*F*sin(theta) for lever-arm torque problems.
Variables and units
- Mass m in kg, force F in N, acceleration a and gravity g in m/s^2.
- Distance, height, and lever arm in m; time in s; velocity in m/s.
- Energy and work in J; power in W; torque in N*m; angles in degrees on the page.
Worked example
Drop energy and impact setup
- 1For a 3 kg object raised 12 m, compute PE = 3*9.80665*12 = 353 J.
- 2Use the free-fall tool with h = 12 m and v0 = 0 to estimate ideal fall time and impact speed.
- 3Compare the PE result with kinetic energy only when losses such as drag are intentionally ignored.
Mechanics pages work best when you keep force, motion, and energy signs consistent across the same scenario.
Common limits and checks
- Air resistance, rolling resistance, and complex contact forces are outside the simplest mechanics calculators.
- Near-surface gravity formulas assume g is constant across the height change.
- Torque and work angle inputs must match the stated geometry, not the drawing angle you happen to see first.
Velocity Calculator
Calculate average velocity from distance and time using standard SI units.
Acceleration Calculator
Calculate acceleration from velocity change over time.
Force Calculator
Calculate force from mass and acceleration with Newton's second law.
About Mechanics Calculators
Mechanics calculators cover the formulas students and engineers reach for constantly: velocity, acceleration, force, work, power, and motion under gravity. The tools here focus on repeated physics workflows rather than broad textbook coverage.
Each tool is designed to reduce equation setup time while keeping the result transparent enough to support homework checks, lab work, or engineering back-of-the-envelope estimates.
Why these formulas belong together
Users usually arrive with a cluster of closely related questions. Someone solving projectile motion may also need velocity or free-fall results, and someone working on RC timing may also need Ohm's law or voltage-divider outputs.
Grouping these calculators by topic helps you move between related formulas without losing the physics context, whether you are comparing motion, circuits, heat, waves, fluids, or gravity problems.
Mechanics Calculators FAQ
Use this page when you know the subject area but still need the right formula tool. Jump straight to a tool when you already know the exact calculation.
Switch topics when the variables or formula family change, such as moving from motion to circuits or from heat to gases.
No. These calculators help with setup and checking, but they should not replace course materials, lab guidance, or engineering review when those are required.
Explore related Physics topics
Start with the topic that matches your calculation, then use a related topic when the problem expands into another formula set.