How are work and power related?
done is a measure of the transferred when a force moves a load, is the rate of energy transfer.
They both involve energy transfer.
Work done IS the energy transferred when a force moves a load
Work done = force distance moved in direction of force.
Work has units of Joules
Power is the rate of energy transfer
Power = energy /time
Where they might both be used is when calculating the power of a machine,
Power of machine = work done / time taken
Remember, work done is the energy transferred, so these terms are interchangeable in the power equation.
Example – a person lifts a 10 kg mass, moving it a distance of 1.5m, in 2 seconds. Calculate the persons power output:
Take ##g = 10N/kg##
Weight = ##mg## = ##10 *10## =##100N##
Work = ##100N * 1.5m## = ##150J##
Power = ##150J/2s## = ##75W##
