Mechanics
Power
Power is the rate at which work is done.
Variables
PW
Power
Rate of energy transfer
In SI units: kg·m²/s³
Allowed values: greater than 0
WJ
Work
Energy transferred
In SI units: kg·m²/s²
ts
Time
Time interval
FN
Force
Applied force
In SI units: kg·m/s²
vm/s
Velocity
Speed
Derivation
P = dW/dt = F(dx/dt) = Fv.
Your notes
0/5000
Check value
Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- W = 2 J (Work)
- t = 3 s (Time)
Result: P = 0.66666667 W
Other mechanics formulas with the same quantities
- Velocity (Kinematics) shares Velocity
- Drag Force (Dynamics) shares Velocity
- Momentum (Momentum) shares Velocity
- Torque (Rotational Motion) shares Force
- Pressure (Dynamics) shares Force
- Rolling Kinetic Energy (Rotational Motion) shares Velocity
Where this formula is listed
- Mechanics formulas, under Work & Energy, alongside Gravitational Potential Energy, Spring Potential Energy, Work-Energy Theorem and Conservation of Mechanical Energy.
- In the mechanics list it comes after Spring Potential Energy and before Work-Energy Theorem.
- Mechanics formula sheet, one of 58 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Power formula?
Power is written P = W/t = Fv. Power is the rate at which work is done. It belongs to Mechanics, under Work & Energy.
What are the units in P = W/t = Fv?
In SI units, P is power, measured in kg·m²/s³; W is work, measured in kg·m²/s²; t is time, measured in s; F is force, measured in kg·m/s²; v is velocity, measured in m/s.
How is the Power formula derived?
P = dW/dt = F(dx/dt) = Fv. The result is P = W/t = Fv.