How long will it take a 1879W motor to lift a 309kg piano to a window 15.4m above? what is the equation?
here are my givens
P= 1879 w
m= 309 kg
h= 15.4 m
t= ? s
well, how many joules of work to get it up?
Potential energy rise = m g h
= 309 * 9.81 * 15.4 Joules
that is the power times the time.
= 1879 * time in seconds
To determine the time it takes for the motor to lift the piano to a certain height, we can use the equation for work, which relates power and time.
Work is given by the formula:
Work = Power x Time
In this case, the work done is equal to the change in potential energy of the piano when it is lifted. The potential energy is given by:
Potential Energy = Mass x Acceleration due to gravity x Height
Substituting the given values:
Potential Energy = 309 kg x 9.8 m/s² x 15.4 m
Now, we can equate work done to potential energy:
Power x Time = 309 kg x 9.8 m/s² x 15.4 m
Rearranging the equation to solve for time:
Time = (309 kg x 9.8 m/s² x 15.4 m) / 1879 W
Calculating this expression will give us the time it takes for the motor to lift the piano to the desired height.