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Metabolic Equations

Metabolic Equations. ACSM Formulas. Conversion Factors used in Metabolic Calculations. 1 KG= 2.2 lb 160 lb/2.2=72.7 kg 60 kgX 2.2=132 lb 1 inch= 2.54 cm 12 in. x 2.54= 30.5 cm 1 m= 100cm 30.5 cm/100= 0.305 m 1 mph= 26.8 meters per minute 6.0 mph x 26.8 = 160.8 m.min.

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Metabolic Equations

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  1. Metabolic Equations ACSM Formulas

  2. Conversion Factorsused in Metabolic Calculations • 1 KG= 2.2 lb • 160 lb/2.2=72.7 kg 60 kgX 2.2=132 lb • 1 inch= 2.54 cm • 12 in. x 2.54= 30.5 cm • 1 m= 100cm • 30.5 cm/100= 0.305 m • 1 mph= 26.8 meters per minute • 6.0 mph x 26.8 = 160.8 m.min

  3. Conversions, cont. • Min/mile pace= 60 min/mph • 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 300-1200 kgm/min, or 50-200 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: • VO2= (1.8 x 450)/ 62 + 7 • VO2= 810/62 + 7 • VO2= 13 + 7 • VO2= 20 ml/kg/min

  7. ACSM Walking Equation • For speeds of 50-100 m/min. (1.9-3.7 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)

  8. 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%: • 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= 16.88 ml.kg.min • 4. Calculate total VO2 by adding H, V, and R (resting) components: VO2= H + V + R (9.38 + 16.88 + 3.5)= 29.76 ml.kg.min • Convert VO2 to METS by dividing by 3.5: (29.76/3.5 = 8.5 METS

  9. 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)

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

  11. Arm Ergometer Equation • For power outputs between 150-750 kgm.min or 25-125 watts: • VO2= (3 x kgm) / kg + 3.5 • Or • VO2= (18 x watts) / kg + 3.5

  12. ACSM Arm Egometer Equation • Calculate VO2 for a 50 kg. Individual cycling at 600 kgm: • VO2= 3 x 600/50 +3.5 • VO2= 1800/50 + 3.5 • VO2= 36 + 3.5 • VO2= 39.5 ml.kg.min

  13. ACSM Stepping Equation • Convert stepping height in inches to meters • Stepping rate is steps per minute • VO2= • (0.2 x stepping rate) + • (1.33 x 1.8 x step height in meters x rate) + • 3.5

  14. ACSM Stepping Equation: • To calculate VO2 for bench stepping using a 16 inch step height at a cadence of 24 steps/min. • 16 inches = .4064 meters • (0.2 x 24) + (1.33 x 1.8 x .4064 x 24) + 3.5 • VO2= 4.8 + 30.5 + 3.5 • VO2= 38.8 ml/kg/min

  15. Estimating VO2 from Maximal Bruce Protocol • Male: • VO2 max = 14.76 - (1.379 x time) + (0.451 x time2) - (0.012 x time3) • Female: • VO2 max= (4.38 x time) – 3.90

  16. Estimating VO2 Max from Balke Protocol (max) • Male: • VO2 max= 1.444 x time + 14.99 • Female: • VO2 max= 1.38 x time + 5.22

  17. Estimating VO2 max from Submax Treadmill Protocol (multistage) • Use HR and WL data from two or more submaximal stages of treadmill test. • Client must reach steady-state HR between 115-150 • Determine slope: (b)= (SM2-SM1)/(HR2-HR1) • SM1 and SM2 are expressed as VO2 • VO2= SM2 + b (Hr max- HR2)

  18. Estimating VO2 from Submaximal Treadmill Test (single-stage) • Use one submaximal HR and one workload • Steady-state HR should reach between 130-150 bpm • Calculate SM VO2 and METS using ACSM equation (remember…1MET= 3.5 ml/kg/min) • VO2 (male)= SM VO2 (expressed as METs) x (Hrmax-61)/ (HRsm- 61) • VO2 (female)= SM VO2 (expressed at METs) x (Hrmax-72)/ HRsm –72)

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