# [Solution]Metabolic Equations

VO2 Calculations Use the attached documents to help you calculate the following VO2 values.  Express the answers using the relative term (ml/kg/min).  Show all your…

VO2 Calculations
Use the attached documents to help you calculate the following VO2 values.  Express the answers using the relative term (ml/kg/min).  Show all your work.
1.  Weight  = 65 kg.  HR of 175 beats/min, SV of 110 mL/beat.  a-vO2diff: 20 ml O2/100 mL of blood = arterial.  10 ml O2/100 mL of blood = venous.  Assume that this is a maximal effort.  Is this value above or below normal for a college aged male?
2.  Weight  = 60 kg.  HR of 200 beats/min, SV of 150 mL/beat.  a-vO2diff: 20 ml O2/100 mL of blood = arterial.  3 ml O2/100 mL of blood = venous.  Assume that this is a maximal effort.  Is this value above or below normal for a college aged female?
3.  Weight  = 50 kg.  HR of 125beats/min, SV of 80 mL/beat.  a-vO2diff: 20 ml O2/100 mL of blood = arterial.  12 ml O2/100 mL of blood = venous. Assume that this is a maximal effort.  Is this value above or below normal for a college aged female?
4.  Weight  = 95 kg.  HR of 190 beats/min, SV of 125 mL/beat.  a-vO2diff: 20 ml O2/100 mL of blood = arterial.  5 ml O2/100 mL of blood = venous.  Assume that this is a maximal effort.  Is this value above or below normal for a college aged male?
3.  List and explain three cardiorespiratory adaptations to exercise.  Additionally, explain the physiologic mechanisms that cause each of these changes to occur. Summarize and cite information from your textbook in your own words to support your writing.
4. One of the underlying goals of our program of study is to help students make connections between the scientific content of Kinesiology and an integration of Christian faith.  One of the aspects we hope to see each student consider is how they can use a future career in Kinesiology to honor God and serve others.  With that in mind, read the following verses in the Bible and answer the questions that follow:
Matthew 9:1-8
John 6:6-13, 25-35
John 8:1-11
Luke 5:1-11

How was contact with Jesus established?
How did Jesus address the needs of the people he came in contact with?
How can you imitate the behavior of Christ as a Kinesiologist? Use specific examples of what this might look like in your future career.

Metabolic Equations
How many calories do you burn when you walk 3 miles? Because exercise is an important step in weight loss, it is important to be able to quantify caloric costs of a given activity. Below are equations that have been validated by the American College of Sports Medicine to accurately quantify caloric cost.
Each equation has two components: a horizontal phase and a vertical phase. These components, plus our metabolic cost at rest, combine to form the overall caloric cost of an activity. The first step to calculate the cost of an activity is to estimate VO2 and expressed it in ml of oxygen/kg of mass/min of activity (ml/kg/min). From this, we can derive calories.
Walking equation: VO2= (0.1·S) + (1.8 ·S ·G) + 3.5. Where S = speed, G = grade.
S= speed in meters/min. Convert by multiplying speed in mph by 26.8 (a constant). Thus, 3.2 mph would be converted to 85.76 meters/min (3.2*26.8 = 85.76).
We will use the walking equation for any speeds less than 1.9 – 3.75 mph. Above 5.0 mph we will use the running equation listed below.
Running equation: VO2= (0.2 ·S)+ (0.9 ·S ·G) + 3.5. Where S = speed, G = grade. See above.
Walking example 1: Calculate the VO2 for someone walking 3.2 mph and a 6% grade.
Step 1 is to convert speed: 26.8*3.2 = 85.76.
Step 2: .1*85.76 = 8.57. This is the speed component of the equation.
Step 3: 1.8*85.76*.06 = 9.26. This is the second part of the equation (1.8 *S*G).
Step 4: 8.57 + 9.26+ 3.5 = 21.34 ml/kg/min.
Don’t forget, we have to add in the metabolic cost at rest. This equals 3.5
Once we know the metabolic cost (ml/kg/min), we can estimate total kcals burned.
In the walking example 1, if our subject weighed 140 lbs and walked for 40 minutes, then we can estimate that our subject burned 271 kcals. To do this, we need to do the following:
1. Convert weight to kg. This is done by dividing pounds by 2.2. So 140/2.2 = 63.63.
2. Multiply our metabolic cost by the body weight. 21.3 * 63.63 = 1357 ml/min.
3. Divide our new metabolic cost by 1000, to get L/min. 1357/1000 = 1.357.
4. For every liter of oxygen consumed we burn 5 kcals. So 1.357 * 5 = 6.78 kcals/min.,
5. Our subject exercised for 40 min. So 6.78 * 40 = 271 kcals burned for the intensity and duration of exercise.

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