1. Metabolic Equations
ACSM Formulas

2. Conversion Factors used in Metabolic Calculations
1 KG= 2.2 lb
160 lb/2.2=72.7 kg kgX 2.2=132 lb
1 mph= 26.8 meters per minute
6.0 mph x 26.8 = m.min

3. Conversions, cont. Min/mile pace= 60 min/mph 1 L = 1000 ml
60 min/7mph= 8.6 min/mile or 8:36 min:sec/mile
60 sec x 0.6 min= 36 sec
1 L = 1000 ml
1 L of O2= 5 kcal
1 MET = 3.5 ml . Kg . Min
1 MET = 1 kcal . Kg . Hr
1 Watt= 6 kgm.min
540 kgm/6 = 90 Watts
kgm.min= kg x 6 x rpm (monark cycle)

4. Metabolic terms: Absolute VO2= rate of O2 uptake in Liters/min.
Relative VO2= rate of O2 uptake in ml/kg/min. Used to compare VO2 between individuals of different body size.
Gross VO2= total consumption of O2 under any circumstances
Net VO2= O2 consumption rate above resting O2 consumption rate.
Used to describe the caloric cost of exercise

5. ACSM Leg Ergometry Equation:
For power outputs between kgm/min, or watts
VO2= (1.8 x kgm/min)/ M (wt. in kg) + (7) Or
VO2= (10.8 x watts) / M (wt. in kg) + (7)

6. ACSM Leg Ergometry Equation
To calculate the energy expenditure of a 62 kg woman cycling at a work rate of 450 kgm.min:

7. VO2= (1.8 x 450)/ 62 + 7 VO2= 810/62 + 7 VO2= 13 + 7 VO2= 20 ml/kg/min
To calculate the energy expenditure of a 62 kg woman cycling at a work rate of 450 kgm.min:
VO2= (1.8 x 450)/
VO2= 810/62 + 7
VO2=
VO2= 20 ml/kg/min

8. ACSM Walking Equation
For speeds of m/min. ( mph)
VO2= Resting Component + Horizonal Component + Vertical Component
R= 3.5 ml. kg. min.
H=speed (m/min) X 0.1
V=grade (decimal) X m/min X 1.8
VO2= (0.1 x S) + (1.8 x S x G) + 3.5
(H) (V) (R)

9. ACSM Walking Equation
Calculate VO2 for a 70 kg subject who is walking on the treadmill at a speed of 3.5 mph and a grade of 10%:

10. Calculate VO2 for a 70 kg subject who is walking on the treadmill at a speed of 3.5 mph and a grade of 10%:
1. Convert speed in mph to m.min (3.5 x 26.8= 93.8)
2. Calculate horizontal component. H = speed (m.min) x 0.1 (93.9 x 0.1 = 9.38 ml.kg.min
3. Calculate vertical component: V= grade (decimal) x speed x 1.8 (.10 x 93.8 x 1.8= ml.kg.min
4. Calculate total VO2 by adding H, V, and R (resting) components: VO2= H + V + R ( )= ml.kg.min
Convert VO2 to METS by dividing by 3.5: (29.76/3.5 = 8.5 METS
How many kcals burned in 20 minutes?

11. ACSM Running/Jogging Formula
For speeds > 134 m/min (>5.0 mph), (or for speeds as low as 3mph if jogging)
VO2= Resting Component + Horizontal Component + Vertical Component
R= 3.5 ml.kg.min
H= speed (m/min) X 0.2
V= grade (decimal) X m/min X 0.9
VO2= (0.2 x S) + (0.9 x S x G) + 3.5
(H) (V) (R)

12. ACSM Jogging/Running Formula
Calculate VO2 for someone running a 7.5 mph. (200 meters/min) With a 5% grade?

13. For uphill running, add: grade (decimal) x m/min x 0.9
Calculate VO2 for someone running at 7.5 mph. (200 meters/min)
With a 5% grade?
VO2= 3.5+ (m/min X 0.2)
43.5= (200 x 0.2)
For uphill running, add:
grade (decimal) x m/min x 0.9
VO2= (200 x 0.2) + (.05 x 200 x 0.9)
VO2= 52.5

14. What is the total amount of work on a cycle ergometer
Kpm/min
Joules
With 2-kg resistance, 6 m•rev–1, 60 rev•min–1 for 5 min

15. With 2-kg resistance, 6 m•rev–1, 60 rev•min–1 for 5 min
2 kg needs to go to N X 9.79 = 19.58
19.58 x 6m/rev x 60 revs/min x 5 min
35244 Joules
For kpm/min – use 2 kg and do not convert to N
3600 kpm/min

16. Calculate the avg. power output during 10 min of cycle ergometer
Exercise in which a total of 10,000 kpm of work was performed
Answer in kpm/min and Watts

17. Calculate the avg. power output during 10 min of cycle ergometer
exercise in which a total of 10,000 kpm of work was performed.
Answer in kpm/min and Watts
Work = Force X Distance
Power = Force X Distance divided by time
10,000 kpm of work
Divide by 10 min
1,000 kpm/min
1,000/6 = Watts
1 Watt = 6 kgm/min

18. Calculate the work during 2-min of treadmill exercise by a 60-kg person running at 200 meters/min up a 10 % grade.

19. Calculate the work during 2-min of treadmill exercise by a 60-kg person running at 200 meters/min up a 10 % grade.
Vertical displacement = % grade x distance
0.1 x (200 m•min–1 x 2 min) = 40 m
Work = body weight x total vertical distance
60 kg x 9.79 = N
587.4 N x 40 m = J
Power = work ÷ time
23496 J ÷ 120 s = W