an electric motor lifts on elevator 9 m in 15s by exerting an upward force of 1.2 x 10^4 calculate the power
W=fdeltax cosQ W=(l.2 x 10^4)(9)cos0degr w=108000J p=w/delta t p=108000/15 p=7200 W
m,m
To calculate the power of the electric motor, we can use the formula:
Power = (Work) / (Time)
First, we need to find the work done by the electric motor. The work is equal to the force applied multiplied by the distance traveled. In this case, the force is given as 1.2 x 10^4 N (Newtons), and the distance traveled is 9 m (meters).
Work = Force x Distance
= (1.2 x 10^4 N) x (9 m)
= 1.08 x 10^5 Nm (Newton-meters)
Now, we need to find the time taken. The time is given as 15 seconds.
Finally, we can substitute the values into the power formula:
Power = (Work) / (Time)
= (1.08 x 10^5 Nm) / (15 s)
= 7200 W (Watts)
Therefore, the power of the electric motor is 7200 Watts.