Measurement Of Work, Power, And Energy Expenditure Flashcards
_______________ is a measure of energy transfer that occurs when an object is moved over a distance by an external force .
Work
How to calculate work ?
Work = Force x Distance
Force β kiloponds kp
Distance β meter m
Work β kpm
A person lifting 25 kg weight from the floor up to a height (distance) of 2 meter has performed a work equal to what ?
F x D = W
25 kp x 2 m = 50 kpm
(NOTE: 1 kp = 1 kg)
Unit of work
Kiloponds-meter Kpm
___________ is the amount of work performed per unit of time.
Power
How to calculate power
What is the unit of power
Power = Work / Time
Unit of power = Watt = 6.12 kpm/min
Two people may perform the same amount of work but take different durations to perform this work
For example :
Person A performs 1000 kpm in one hour
Person B performs the same work in one minute
Which person has greater power ?
- Person A : 1000 / 60 = 16.7 kpm/min = 2.73 Watt
- Person B: 1000/1 = 1000 kpm/min = 163 Watt
Person B has greater power because he was able to perform the same work in a SHORTER time
(Remember: 1 Watt = 6.12 kpm/min)
_______________ is the measurement of work output
_______________ is the device which is used to measure specific type of work.
Ergometry
Ergometer
Different types of ergometer devices
They all provide measurements/quantification of human physical performance
Bench step ergometry
- explain how itβs done
- what are the required parameters
Subject steps up and down a bench with specific height at a certain rate (steps/min)
Required parameters:
- height of steps (meter)
- number of steps/min
- total duration (minutes)
- weight of subject (force kp)
Bench step ergometry :
A 70 kg subject steps up and down a 50 cm bench at a rate of 30 steps per minute for 10 minutes. Calculate the amount of power output for this subject.
Power = Work / Time
But we have to calculate work first
Work = Force x Distance
We have force βοΈ but we dont have distance so lets calculate distance first :
- Find distance:
Distance = height x speed x duration
Distance = 0.5 m x 30 steps/min x 10 min = 150 m - Find work:
Work = Force x Distance
Work = 70 kp x 150 m = 10500 kpm - Find power:
Power = Work / Time
Power = 10500 kpm / 10 min = 1050 kpm/min = 171.6 W
When converting the work this subject did into kcal, it only came out as a total of 24.6 kcal.
Is that really the energy expenditure (calories burned) for this entire workout?
No
That is just the work. The energy expenditure is much higher (ex: 200 kcal)
What is the earliest method of measuring work capacity in humans?
Bench step ergometry
What is the most commonly used ergometer that allows for accurate measurement of work and power output ?
Cycle ergometer
Cycle ergometer
- Explain what it is.
- How is distance measured?
- what is the force considered as?
Adjustable friction braked cycle with a belt around the wheel, which can be loosened or tightened to adjust the friction, therefore changing the resistance.
Distance can be measured by the number of revolutions the wheel makes
Force is the resistance
Cycle ergometer :
A subject does 10 minutes of pedaling at a resistance of 1.5 kp. The distance traveled at each revolution is 6 m. The pedaling speed is 60 rev/min. What will be the total work and power of the subject?
- Calculate distance
Distance = distance travelled/revolution x pedaling speed x duration
Distance = 6 m x 60 rev/min x 10 min = 3600 m - Calculate work.
Work = Force x Distance
Work = 1.5 kp x 3600 m = 5400 kpm - Calculate power
Power = Work / Time
Power = 5400 kpm / 10 min = 540 kpm/min = 88.2 W
(The work in kcal here is 12.6 , but remember that the energy expenditure is much higher)
True or false
We can measure work performed in treadmill ergometry at zero inclination.
False
It is complicated at zero inclination .
Therefore, treadmill ergometry is performed at predetermined incline angles (percent grade)
Determination of percent grade on a treadmill:
A subject walking 100 m at 10% grade climbs how many meters vertically ?
(Percent grade/100) x distance
10/100 x 100 = 10 meters vertically
What is the information required to calculate work performed in treadmill ergometry?
- Weight of the subject (kg)
- βDistance traveled β (meters/min)
- Percent grade of treadmill
(Distance travelled is a mistake in the note . It should be speed meters/min)
Treadmill ergometry
A 70 kg subject runs at a speed of 200 m/min on a treadmill at a percent grade of 7.5 for 10 minutes. What is the total work performed and power?
- Calculate the distance.
Distance = speed x time
Distance = 200 m/min x 10 min = 2000 m - Calculate the vertical displacement:
Vertical displacement = (percent grade/100) x distance
Vertical displacement = (7.5/100) x 2000 m = 150 m - Calculate work.
Work = Force x Distance
Work = 70 kp x 150 m = 10,500 kpm - Calculate power.
Power = Work / Time
Power = 10,500 kpm / 10 min = 1050 kpm = 171.5 W
(Note: the work in kcal for this example is 24.6 but that is only the work and not the total energy expenditure!)
What is the SI unit of heat?
Joules
But for biological systems, we use Calorie
Which unit is used for the body and value of foods (heat energy when metabolized) ?
Kilocalorie ( kcal )
1 kcal = 4.186 KJ