Instantaneous power is dot product of force and velocity¶

Instantaneous power is a measure of the rate of energy transfer or conversion at a given point in time.

Conditions:

Force \(\vec F\) is constant.

Links:

Wikipedia.

power¶: Instantaneous power due to force.

Symbol:: P
Latex:: \(P\)
Dimension:: power

force¶: Vector of force exerted on the body.

Symbol:: F
Latex:: \({\vec F}\)
Dimension:: force

velocity¶: Vector of the body’s velocity. See speed.

Symbol:: v
Latex:: \({\vec v}\)
Dimension:: velocity

law¶

P = dot(F, v)

Latex:: \[P = \left( {\vec F}, {\vec v} \right)\]