lab4powerONLIn

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Wake Tech *

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110

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Physics

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Apr 3, 2024

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docx

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Lab 4: Power Objective: Calculate the work and power while walking and/or running up a flight of stairs. Materials/Equipment: stopwatch from phone, meter stick or ruler, weighing scale, flight of stairs. Note: Safety first! Perform this activity carefully. If you cannot run up the stairs, you can walk faster instead, or ask another person to do it. Five to six steps will be adequate. Theory: A simple way to measure the power output is to measure the time it takes a person with known weight to walk or run up a flight of stairs of known height. We then use the equations below to calculate for work and power. The value of power can then be compared to a horsepower (hp). A. Work ( Nm J )= Force ( N ) x displacement ( m ) B. Power ( J / s Watts )= Work ( J ) time ( s ) C. Horsepower ( hp )= Power ( J / s Watts ) 746 Watts hp Procedure: 1. Measure your weight (which is a force) in Newtons (N). Note: 1 pound (1 lb) = 4.49 N. 2. Measure the total height of the stairs in meters (m). This is the displacement. 3. Measure the time to walk up the flight of stairs. Complete three trials. 4. Measure the time to run up the flight of stairs. Complete three trials. 5. Calculate the work, power, and horsepower (hp) using the formula above. 6. Calculate all averages. 7. Write down all data in the table shown. Make sure to include units. J. Regalado 10/26/23 Page 1 of 4
Table 1. Data Walking Tria l Weight Displacemen t Time Work Power Hp 1 987 72 00:03:52 71,064 306.17W 0.41hp 2 987 72 00:03:89 71,064 310.50W 0.42hp 3 987 72 00:04:26 71,064 267.15W 0.36hp Ave --------- --------- 255.67s 71,064 294.61W 0.40hp Running Trial Weight Displacement Time Work Power Hp 1 987 72 00:02:41 71,064 441.55W 0.59hp 2 987 72 00:02:93 71,064 410.86W 0.55hp 3 987 72 00:02:84 71,064 433.61W 0.58hp Ave --------- --------- 192.67s 71,064 428.34W 0.57hp Questions: 1. Is there a difference in your work done while walking or running up a flight of stairs? Why or why not? The difference in work between walking and running up a flight of stairs comes from the time taken to complete the objective. Both activities require the same work to overcome gravitational force, running achieves this in less time compared to walking. This shorter duration of exertion during running results in less total work done, despite a higher power output due to my quicker pace. Although running expends more power per unit time, the total work done may be lower than when walking due to the faster pace. 2. Is there a difference in the power exerted while walking or running up a flight of stairs? Why or why not? When comparing walking and running upstairs, there’s a difference in the power exerted. Power is how fast you can do work, and it depends on how quickly you finish the task. While both walking and running need the same amount of effort to J. Regalado 10/26/23 Page 2 of 4
climb stairs, running does it faster. So, running has more power because it gets the job done quicker. On the other hand, walking takes longer to finish, so it has less power. Basically, the difference in power between walking and running upstairs comes down to how fast you can complete the task. 3. How is it possible that a student might have the fastest time up the stairs and still not have the most power? In context of the ascending stairs, it’s possible for a student to be the fastest without having the most power. Although speed plays a role in determining power, it’s not the only factor. Power involves both how quickly a task is to complete, and the amount of force applied. For instance, a student reaches the top first, the other student could have more power because they’re exerting more force. This highlights that power isn’t solely about speed; it’s also about effort put into each action. 4. If you carried a kid up the flight of stairs in the same amount of time that it takes you to go up alone, was your horsepower higher or lower? Explain. If you carried a kid up the stairs at the same time it takes you to go up alone, your horsepower would be lighter. This is because carrying the kid adds more weight, which means you’re doing more work. Since power is all about how much you work you do in a certain amount of time, your power output would be higher when you’re carrying a kid. So, even though you’re doing the same thing at the same time, the extra effort of carrying the kid means your power is higher. Conclusion: Write a conclusion that addresses the objectives. Indicate at least three (3) lessons learned. Include a discussion of sources of errors and suggest ways to improve the results. In conclusion, this experiment taught us a lot about the work and power involved in walking and running upstairs. We learned that running is faster than walking, which means it has more power, even though it might not do as much total work. Also, we found out that power depends on both speed and how hard you push yourself. If you carry something up the stairs, like a kid, your power goes up because you’re doing more work. But there were some things that could have messed up our results. Like maybe we didn’t measure the stairs or our weight right, or maybe we didn’t try as hard in J. Regalado 10/26/23 Page 3 of 4
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every trial. To make our results better next time, we should be more careful with pour measurements, try our best in every trial, and maybe use better timing devices. J. Regalado 10/26/23 Page 4 of 4