Question

Objective: The purpose of this lab is to calculate the power output of a student walking and running up the stairway. Procedure: 1. Using the bathroom scale weigh yourself in pounds and convert that to kilogram using the conversion factor one kilogram is equal to 2.2 pounds are record it in Table 1. (214 pounds) 2. Multiply the kilograms by the acceleration due to gravity and record it in Table 1. This will be your weight in Newton which presents the force needed by the student to lift him or herself up the stairway. 3. Measure and record the vertical height of the stairway in Table 1. This can be done by measuring the height of one step and multiplying it by the number of steps that make up the stairway. (Vertical height is 7 inches and there are a total 12 steps that make up the stairway). 4. Measure and record the time to walk up and run up the stairway and record it in Table 1. (Time walking up: 9.25 second / Time running up: 7.47

Answer 1

Based on the provided procedure and data, we can calculate the power output of the student for both walking and running up the stairway using the following steps:

Table 1:

- Weight (in kilograms): 214 pounds / 2.2 = 97.27 kg

- Weight (in Newtons): Weight (kg) * Acceleration due to gravity (approximately 9.81 m/s²) = 97.27 kg * 9.81 m/s² = 954.06 N

- Vertical height of the stairway: 7 inches * 12 steps = 84 inches = 2.13 meters

Now, let's calculate the power output for both walking and running:

1. Walking:

- Time to walk up (in seconds): 9.25 seconds

- Calculate the work done against gravity:

Work (Joules) = Force (N) * Distance (meters)

Work = 954.06 N * 2.13 m = 2030.29 J

- Calculate the power output (in watts):

Power (Watts) = Work (Joules) / Time (seconds)

Power = 2030.29 J / 9.25 s ≈ 219.48 W

2. Running:

- Time to run up (in seconds): 7.47 seconds

- Calculate the work done against gravity:

Work (Joules) = Force (N) * Distance (meters)

Work = 954.06 N * 2.13 m = 2030.29 J

- Calculate the power output (in watts):

Power (Watts) = Work (Joules) / Time (seconds)

Power = 2030.29 J / 7.47 s ≈ 271.80 W

So, the power output of the student while walking up the stairway is approximately 219.48 watts, and while running up the stairway is approximately 271.80 watts.

Explanation: