what is the average power developed by a motor lifting 400kg at constant speed through 10m at 8 secs?
Please label the School Subject correctly = science, math, etc.
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To calculate the average power developed by a motor, you need to use the formula:
Average Power = Work / Time
Here's how you can find the answer to your question step by step:
Step 1: Calculate the work done by the motor.
The formula to calculate work is:
Work = Force × Distance
In this case, the force is the weight of the object being lifted. The weight can be calculated using the formula:
Weight = Mass × Acceleration due to Gravity
Given that the mass is 400kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can find the weight:
Weight = 400 kg × 9.8 m/s^2
Step 2: Now, calculate the work done by the motor using the formula:
Work = Force × Distance
In this case, the force is the weight of the object being lifted, and the distance is the height through which it is lifted. So,
Work = Weight × Distance
Given that the distance is 10m, we can calculate the work done by the motor:
Work = (400 kg × 9.8 m/s^2) × 10 m
Step 3: Calculate the average power.
Finally, you can calculate the average power developed by the motor using the formula:
Average Power = Work / Time
Given that the time taken is 8 seconds, we can calculate the average power:
Average Power = (Work) / (8 s)
Now you can substitute the value of Work into the equation and solve for the average power.