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Calcimator

Work-Energy Calculator

Work, kinetic energy, and power from force and displacement.

Inputs

Results

Work (J)

500

Final Velocity (m/s)

10

Work (kJ)0.5
Work (cal)119.5
Kinetic Energy (J)500
Power (W)250
Power (HP)0.34
Grav PE0
Work Btu0.47
How to Use This Calculator
  1. Enter force (N), distance (m) over which it is applied, and angle (degrees) between force and displacement.
  2. Enter mass (kg) of the object and time (s) over which work is done.
  3. Read work done (J) and its equivalents in kJ and calories.
  4. Review final velocity (m/s) from rest via the work-energy theorem and kinetic energy (J).
  5. Check power (W and HP) — the rate of doing work over the given time.

How the result changes with Force (N)

Force (N)Work (J)Final Velocity (m/s)
100,000,000500,000,00010,000
350,000,0001,750,000,00018,708.29
650,000,0003,250,000,00025,495.1
900,000,0004,500,000,00030,000

What each input means

Force (N)
Applied force in newtons.
Distance (m)
Displacement over which force is applied.
Angle (°)
Angle between force and displacement. 0° = same direction.
Mass (kg)
Mass of the object (for velocity calculation).
Time (s)
Time over which work is done (for power).

What each result means

Work (J)
W = Fd·cos(θ). Work in joules.
Work (kJ)
Work in kilojoules.
Work (cal)
Work in calories.
Final Velocity (m/s)
v = √(2W/m) from rest via work-energy theorem.
Kinetic Energy (J)
KE = ½mv². Should equal net work.
Power (W)
P = W/t. Rate of doing work.
Power (HP)
Power in horsepower.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Force (N) = 100, Distance (m) = 5, Angle (°) = 0, Mass (kg) = 10 = 5 input(s) provided
  2. Calculate Work
    500 = 500
  3. Calculate Final Velocity
    10 = 10
  4. Calculate Work
    Work = work / 1000
    0.5 = 0.5
  5. Calculate Work
    Work = work / 4.184
    119.5 = 119.5

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