Lab partners: Kevin Nguyen, Jose Rodriguez
8 April, 2017
Work and Power
Purpose: Students will understand how work and power works.
Introduction: Me and my two lab partners have performed the three experiments required to gather data. The activity was held outside of the science building. First, one person from our group will be pulling down on a rope that goes over a pulley to a backpack containing a known mass. We chose the 5kg backpack in this case. We timed our member for lifting the backpack from the ground to the bottom of the backpack being level with the top of the balcony. Next, another member walked up the stairs and get timed. (stairs on the left of the picture below) Finally, another member runs up the stairs while being timed. (stairs on the left of the picture below).
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First, our members measured the height of the stairs. In order to find height, we took the measurement of one stairs and multiplied it by the total number of stairs, which in this case is 26 steps. As a result, the height is 4.39m
1st experiment: Pulling on the rope.
-As a result, one of the members pulled on a rope of a 5kg back in 4.4 seconds
Below is the result of work and power while performing this experiment:
Since we know the height is 4.39m, we were able to find the average velocity of 1m/s with kinematics (v=d/t or v=4.39m/4.4sec)
Our teacher gave us the angle of the angles of 40 degrees. With the given angle, we can find h(hypotenuse). As a result, h= 6.8m and the x distance is 5.23m
2nd experiment: Walking up the stairs.
-As a result, one of the members walked up the stairs in 12.58 seconds.
Below is the result of work and power while performing this experiment:
Since we have the distance h=6.8m, were able to find the average velocity of 0.54m/s with kinematics (v=d/t or v=6.8m/12.58 sec)
3rd experiment: Running up the stairs.
-As a result, one of the members ran up the stairs in 5.8 seconds.
Below is the result of work and power while performing this experiment:
Since we have the distance h=6.8m, were able to find the average velocity of 1.16m/s with kinematics (v=d/t or v=6.74m/5.8sec)
Conclusion:
a) Using the results from walking: KE=.5mv^2 ---> .5(87.63kg)(0.54m/s)^2 = 12.8J
b) -Since we have a result of 300 watts when one of our members walked, it would take about 3.66 flights of stairs(95 steps) to equal the power output of a microwave oven.
-Since we have a result of 540 watts when of our members walked, it would take about 2 flight of stairs(32 steps) to equal the power output of a microwave oven.
c)
d) (1) Since Power= Work/time, then (12.5*10^6)/600 sec = 20,833.33 watts.
(2) 20,833.33 watts/ 100 watts = 208 people.
(3) Since Power = Work/time, then 12.5*10^6)/t = 100 watts. So it would take me about 125,000 seconds(2,083.33 minutes) to ride on a bicycle-powered generator in order to heat water for my 10 minute shower.
By performing the 3 activities: pulling on the rope, walking up the stairs, and running up the stairs, we realize that the work and power for each activity is different according to our calculations. The harder the task, there will be a higher result in work and power. Example, if we were to replace our 5kg backpack with a 10kg backpack, our work and power will be bigger due to knowing that we will have a bigger force applied. Another example is if we were to walk or run up the stairs faster, the value for power will increase due to less time.
Below is the result of work and power while performing this experiment:
Since we know the height is 4.39m, we were able to find the average velocity of 1m/s with kinematics (v=d/t or v=4.39m/4.4sec)
Our teacher gave us the angle of the angles of 40 degrees. With the given angle, we can find h(hypotenuse). As a result, h= 6.8m and the x distance is 5.23m
2nd experiment: Walking up the stairs.
-As a result, one of the members walked up the stairs in 12.58 seconds.
Below is the result of work and power while performing this experiment:
Since we have the distance h=6.8m, were able to find the average velocity of 0.54m/s with kinematics (v=d/t or v=6.8m/12.58 sec)
3rd experiment: Running up the stairs.
-As a result, one of the members ran up the stairs in 5.8 seconds.
Below is the result of work and power while performing this experiment:
Since we have the distance h=6.8m, were able to find the average velocity of 1.16m/s with kinematics (v=d/t or v=6.74m/5.8sec)
Conclusion:
a) Using the results from walking: KE=.5mv^2 ---> .5(87.63kg)(0.54m/s)^2 = 12.8J
b) -Since we have a result of 300 watts when one of our members walked, it would take about 3.66 flights of stairs(95 steps) to equal the power output of a microwave oven.
-Since we have a result of 540 watts when of our members walked, it would take about 2 flight of stairs(32 steps) to equal the power output of a microwave oven.
c)
d) (1) Since Power= Work/time, then (12.5*10^6)/600 sec = 20,833.33 watts.
(2) 20,833.33 watts/ 100 watts = 208 people.
(3) Since Power = Work/time, then 12.5*10^6)/t = 100 watts. So it would take me about 125,000 seconds(2,083.33 minutes) to ride on a bicycle-powered generator in order to heat water for my 10 minute shower.
By performing the 3 activities: pulling on the rope, walking up the stairs, and running up the stairs, we realize that the work and power for each activity is different according to our calculations. The harder the task, there will be a higher result in work and power. Example, if we were to replace our 5kg backpack with a 10kg backpack, our work and power will be bigger due to knowing that we will have a bigger force applied. Another example is if we were to walk or run up the stairs faster, the value for power will increase due to less time.
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