Translational Kinetic Energy

Compute translational kinetic energy E from mass m and speed v.

Inputs

Formula

E = ½·m·v²
Vehicle crash energy scales with translational KE.
vtrans. KE
Translational Kinetic Energy schematic

Fundamentals

Compute translational kinetic energy E from mass m and speed v.

This tool computes Translational Kinetic Energy from the formula: E = ½·m·v²

History

Classical mechanics founded by Newton; kinematics formulas remain the basis of mechanical and vehicle design.

Engineering applications

Used for mechanism kinematics, energy calculations and balancing.

Glossary

Mass mInput parameter
Speed vInput parameter
Kinetic energy EOutput result

How to use

  1. Fill in Mass m, Speed v in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Kinetic energy E in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:E = ½·m·v²

输入变量:

  • Mass m m — kg
  • Speed v v — m/s

输出结果:

  • Kinetic energy E E — J

假设/适用:Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.

Worked Example

根据公式 E = ½·m·v²,取 Mass m = 1,000 kg;Speed v = 20 m/s。

代入计算得:Kinetic energy E = 200,000 J。

Key Points

  • Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
  • Use SI units (kg, m, s, rad) to avoid conversion errors.
  • Angular and linear quantities relate by radius r: v = ω·r, a = α·r.

Parameters

Inputs

ParameterSymbolUnitDefault
Mass m (kg)mkg1000
Speed v (m/s)vm/s20

Outputs

ResultSymbolUnit
Kinetic energy EEJ

Applications

  • Linkage and cam kinematics design
  • Pulley mechanical-advantage study
  • Engine valve-train and crank analysis

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: E = ½·m·v²
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Linkage and cam kinematics design