Unit Conversions
Work Unit Conversions
1 MET = 3.5 ml/kg/min
1 MET = 1 kcal/kg/hr
L/min to ml/kg/min = divide L/min by the subject's body weight in kg, then multiply x 1000
ml/kg/min to L/min = multiply ml/kg/min by the subject's body weight in kg. then divide by 1000
L/min to kcal/min = multiply L/min x 5
kcal/min to L/min = divide kcal/min / 5
ml/kg/min to METS = divide ml/kg/min by 3.5
METS to ml/kg/min = multiply METS x 3.5
METS to Kcal/min = multiply METS x 3.5 x body weight in kg then divide by 200
Speed Conversions
1 mph = 26.8 m/min
1 mph = 1.62 km/hr
1 km/hr = 0.62 mph
Weight Conversions
1 kg = 2.2046 lbs
1 kg = 9.8 N
1 kg = 1000g
Distance Conversions
feet to meters, multiply feet x 0.3048
meters to feet, multiply meters x 3.281
inches to meters, multiply inches x 0.0254
meters to inches, multiply meters x 39.37
miles to meters, multiply miles x 1609
meters to miles, divide meters / 1609
Pace Conversions (To find pace in min : sec per mile)
A. Find the reciprocal of mph ( 1 / mph )
B. Multiply the reciprocal of mph x 60
C. The whole number portion is the minute part of min : sec per mile
D. Multiply the decimal portion of this number x 60
E. The decimal portion x 60 is the seconds part of min : sec per mile
Example: Find the pace of a runner who is running at 7.8 mph.
A. 1 / 7.8 = 0.1282
B. 0.1282 x 60 = 7.692
C. The minutes part of pace is 7
D. 0.692 x 60 = 42 (rounded)
E. The pace is 7:42 or 7 min 42 sec per mile.
Power Conversions
To find power in kgm/min, divide work in kgm / time in minutes
To find power in watts, divide work in joules / time in seconds
kgm/min to watts = multiply kgm/min x 0.164
watts to kgm/min = multiply watts x 6.12
kgm/min to kcal/min = multiply kgm/min x 0.0023
kcal/min to kgm/min = multiply kcal/min x 427
kcal/min to watts = multiply kcal/min x 69.8
watts to kcal/min = multiply watts x 0.014
Energy Conversions
1kcal is the energy required to raise the temperature of 1 kg of water 1 degree Celsius; 540 kcal evaporates 1 kg of water
kcal to kgm, multiply kcal x 427
kgm to kcal, divide kgm / 427
kcal to joules, multiply kcal x 4190
joules to kcal, divide joules / 4190
ACSM Metabolic Equations
Walking (1.9 to 3.7 mph)
VO2 (ml/kg/min) = (0.1 x speed) + (1.8 x speed x grade) + 3.5
Speed is calculated in m/min.
Grade = fraction of the elevation / distance
The numbers 0.1 and 1.8 are constants that refer to the following:
0.1 = oxygen cost per meter of moving each kilogram (kg) of body weight while walking (horizontally)
1.8 = oxygen cost per meter of moving total body mass against gravity (vertically)
Running (greater than 5.0 mph - or 3.0 mph or greater if the subject is jogging)
VO2 = (0.2 x speed) + (0.9 x speed x grade) + 3.5
Speed is calculated in m/min.
Grade = fraction of the elevation / distance
The numbers 0.2 and 0.9 are constants that refer to the following:
0.2 = oxygen cost per meter of moving each kg of body weight while running (horizontally)
0.9 = oxygen cost per meter of moving total body mass against gravity (vertically)
Cycling or Leg Ergometry (for power outputs of 300–1,200 kgm/min, or 50-200 watts, and speeds of 50–60 rpm
VO2 = [1.8 (work rate) ÷ body mass in kg] + 7
*You may need to convert watts to kgm/min (1 watt = 6 kgm/min).
The numbers 1.8 and 7 are constants that refer to the following:
1.8 = oxygen cost of producing 1 kgm/min of power output
7 = oxygen cost of unloaded cycling plus resting oxygen consumption
Stepping (for stepping rates of 12–30 steps/min and for step heights ranging from 1.6 to 15.7 inches)
VO2 = [0.2 (step rate)] + [1.33 x 1.8 (height in meters x step rate)] + 3.5
Since the height that needs to be plugged into the equation is in meters, you must convert inches to meters (1 inch = 0.0254 meters).
The numbers 0.2, 1.8 and 1.33 are constants that refer to the following:
0.2 = oxygen cost of moving horizontally during stepping
1.8 = oxygen cost of moving vertically during stepping
1.33 = correction factor for positive and negative (up and down) component of stepping
Glossary
j - joules
kcal - kilocalories
kcal/min - kilocalories per minute
kg - kilograms
kgm - kilogram-meters
kgm/min - kilogram-meters per minute
L - liters
L/min - liters per minute
m/min - meters per minute
MET - metabolic equivalent (3.5 ml/kg/min)
ml/kg/min - milliliters per kilogram per minute
mph - miles per hour
VO2 - volume of oxygen or rate of oxygen consumption
w - watts