A small motor runs a lift that raises aload of bricks weighing 836N to a height of 10.7m in 23.2s. assuming that the bricks are lifted with constant speed, what is the minimum power the motor must produce?
Power required =
(Potential Energy Gain)/(time)
= 836*10.7/23.2
The answer will be in Watts.
This answer
Well, let's see. To calculate power, we need two things: work and time. The work done is given by the force applied (836N) multiplied by the distance traveled (10.7m). So the work done by the motor is 836N * 10.7m = 8,939.2 N.m. Since we know the time it takes to do this work (23.2s), we can calculate the power by dividing the work by the time: 8,939.2 N.m / 23.2s = 385.63 Watts.
So, the minimum power the motor must produce is approximately 385.63 watts. That's enough to make even the most energetic clown jealous!
To calculate the minimum power the motor must produce, we need to use the formula for power:
Power = Work / Time
First, let's calculate the work done in lifting the bricks. The work done is given by the formula:
Work = Force * Distance
The force acting on the bricks is the weight of the bricks, which is given as 836N. The distance the bricks are lifted is 10.7m. We get:
Work = 836N * 10.7m = 8952.2 Nm (Joules)
Next, we need to calculate the power by dividing the work by the time:
Power = 8952.2 J / 23.2s
Calculating this, we get:
Power ≈ 386.9 Watts
Therefore, the minimum power the motor must produce to lift the bricks is approximately 386.9 Watts.
To find the minimum power the motor must produce, we need to calculate the work done on the bricks (the energy transferred to them) and divide it by the time taken. Power is the rate at which work is done, so dividing the work by time will give us the power.
First, we need to calculate the work done on the bricks. The work done is equal to the force applied multiplied by the distance over which the force is applied.
Force = weight of the bricks = 836 N
Distance = height = 10.7 m
Work = Force * Distance = 836 N * 10.7 m = 8945.2 N·m (or Joules)
Next, we divide the work by the time taken to get the power.
Power = Work / Time
Time = 23.2 s
Power = 8945.2 N·m / 23.2 s = 385.57 Watts (or approximately 386 Watts)
Therefore, the minimum power the motor must produce is approximately 386 Watts.