Question

What is the relationship between power, force and velocity?

Answer 1

1. Power is expressed as $Power\left(P\right)=\frac{Work\left(W\right)}{Time\left(t\right)}$
2. When displacement is in the direction of force, $Work\left(W\right)=Force\left(F\right)xDisplacement\left(s\right)$
3. Then, $Power\left(P\right)=\frac{Force\left(F\right)xDisplacement\left(s\right)}{Time\left(t\right)}$
4. Here, $\frac{Displacement\left(s\right)}{Time\left(t\right)}=Velocity\left(v\right)$
5. So, $Power\left(P\right)=Force\left(F\right)xVelocity\left(v\right)$

Hence, the relationship between power, force, and velocity is $P=Fxv$.