Metabolic Calculations Homework PDF

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EXSC 531 – Metabolic Equations Take Home Assignment Name:

You must show all work to receive full credit (5 points each, 20 points total) 1.

A 155 lb individual has a VO2 max of 55 ml/kg/min. At an incline of 7%, what speed (in mph) would the treadmill need to be set at in order to achieve 50% VO2R? 155/2.2 = 70.45kg 55-3.5 = 51.5 ml/kg/min (51.5 * 0.5) + 3.5 = 29.25ml/kg/min 29.25 = (0.2 * speed) + (0.9*speed*0.05)+3.5 Speed = 105.10 m/min 105.10 / 26.8 = 3.92 mph

2.

A 205 lb individual has a VO2 max of 25 ml/kg/min. What WL (in kp) would they have to ride at to reach 60% VO2R at 80 rpm (on a Monark bike)? 205/2.2 = 93.18 kg 25-3.5 = 21.5 ml/kg/min (21.5 * 0.6) + 3.5 = 16.4 ml/kg/min 16.4 = (1.8 * WL / 93.18) + 3.5 + 3.5 WL = 486.61 kpm/min 486.61 = kp * 6 * 80 kp = 1.01

3. A 135 lb individual has a VO2 max of 45 ml/kg/min. What cadence (steps/min) would they have to accomplish to reach 65% VO2 on a 14’’ step? 135/2.2 = 61.36 kg 45-3.5 = 41.5 ml/kg/min (41.5 * 0.65) + 3.5 = 30.48 ml/kg/min 14” = 14” * 0.0254 = 0.356m 30.48 = (0.2 * cadence) + (1.33 * 1.8 * 0.356 * cadence) + 3.5 Cadence = 25.65 steps/min 4.

A 195 lb individual has a VO2 max of 35 ml/kg. What is the subjects caloric expenditure at 50% VO2R? How many 45 minute exercise sessions would the individual need to complete to expend 2500 kcals at 50% VO2R? 195/2.2 = 88.64 kg 35-3.5 = 31.5 ml/kg/min (31.5 * 0.5) + 3.5 = 19.25 ml/kg/min (19.25/1000) * 88.64 = 1.71 L/min 1.71 * 5 = 8.53 kcal/min

8.53 * 30 = 255.95 kcals in 30 min 2500/255.95 = 9.8 sessions = 9 sessions...