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Power
Power:
Power is the rate at which work is being done [or also the
rate at which energy is consumed].
W
P =
t
E
P =
t
or
Unit : Watt (W) which is a J/s
A ‘Big Mac’ contains about 2,000,000 J
of chemical energy. If all this energy
could be used to power a 60 watt light
bulb, how long could it run?
Examples:
E
P =
t
E
P
t =
2,000,000 J
60 watt
=
t = 33,000
J
J/sec
t = 33,000 sec ( ~ 9 hr )
Calculate & compare power
• During the ascent phase of a rep of the bench
press, two lifters each exert an average
vertical force of 1000 N against a barbell
while the barbell moves 0.8 m upward
• Lifter A: 0.50 seconds
• Lifter B: 0.75 seconds
Calculate & compare power
Lifter A
Table of Variables
F = 1000 N
d = 0.8 m
t = 0.50 s
Lifter B
Practice by Calculating the
same was as Lifter A
w
s
J
Power
s
mN
Power
t
Fd
Power
1600
50.0
800
50.0
8.01000




Power on a cycle ergometer
• Work = Fd
• Force: 3kg
• Displacement: 6m /rev
• “Work” per revolution
– 3kg x 6 m = 18 kgm
• 60 rev/min
min/1080""
min/6018""
min/""
/""
kgmPower
kgmPower
revFdPower
tFdPower




Power on a cycle ergometer
• Work = Fd
• Force: 3kg
• Displacement: 6m /rev
• “Work” per revolution
– 3kg x 6 m = 18 kgm
• 60 rev/min
min/1080""
min/6018""
min/""
/""
kgmPower
kgmPower
revFdPower
tFdPower




1 Watt = 6.12 kgm/min
Compare “power” in typical stair
stepping
• Work = Fd
• Force: Push on the step
• constant setting
• Displacement
– Step Height: 5” vs 10”
• 0.127 m vs 0.254 m
• step rate
– 56.9 /min vs 28.8 /min
• Time per step
– 60s/step rate
Thesis data from Nikki Gegel
and Michelle Molnar
Compare “power” in typical stair
stepping
• Work = Fd
• Force: Push on the step
• constant setting
• Displacement
– Step Height: 5” vs 10”
• 0.127 m vs 0.254 m
• step rate
– 56.9 /min vs 28.8 /min
)08.2/254(.
)05.1/127(.
10
5
smFPower
smFPower
vFPower
inch
inch



Compare “power” in typical stair
stepping
• Work = Fd
• Force: Push on the step
• constant setting
• Displacement
– Step Height: 5” vs 10”
• 0.127 m vs 0.254 m
• step rate
– 56.9 /min vs 28.8 /min
smFPower
smFPower
vFPower
inch
inch
/122.0
/121.0
10
5



Results: VO2 similar fast/short
steps vs slow/deep steps

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Power

  • 2. Power: Power is the rate at which work is being done [or also the rate at which energy is consumed]. W P = t E P = t or Unit : Watt (W) which is a J/s
  • 3. A ‘Big Mac’ contains about 2,000,000 J of chemical energy. If all this energy could be used to power a 60 watt light bulb, how long could it run? Examples: E P = t E P t = 2,000,000 J 60 watt = t = 33,000 J J/sec t = 33,000 sec ( ~ 9 hr )
  • 4. Calculate & compare power • During the ascent phase of a rep of the bench press, two lifters each exert an average vertical force of 1000 N against a barbell while the barbell moves 0.8 m upward • Lifter A: 0.50 seconds • Lifter B: 0.75 seconds
  • 5. Calculate & compare power Lifter A Table of Variables F = 1000 N d = 0.8 m t = 0.50 s Lifter B Practice by Calculating the same was as Lifter A w s J Power s mN Power t Fd Power 1600 50.0 800 50.0 8.01000    
  • 6. Power on a cycle ergometer • Work = Fd • Force: 3kg • Displacement: 6m /rev • “Work” per revolution – 3kg x 6 m = 18 kgm • 60 rev/min min/1080"" min/6018"" min/"" /"" kgmPower kgmPower revFdPower tFdPower    
  • 7. Power on a cycle ergometer • Work = Fd • Force: 3kg • Displacement: 6m /rev • “Work” per revolution – 3kg x 6 m = 18 kgm • 60 rev/min min/1080"" min/6018"" min/"" /"" kgmPower kgmPower revFdPower tFdPower     1 Watt = 6.12 kgm/min
  • 8. Compare “power” in typical stair stepping • Work = Fd • Force: Push on the step • constant setting • Displacement – Step Height: 5” vs 10” • 0.127 m vs 0.254 m • step rate – 56.9 /min vs 28.8 /min • Time per step – 60s/step rate Thesis data from Nikki Gegel and Michelle Molnar
  • 9. Compare “power” in typical stair stepping • Work = Fd • Force: Push on the step • constant setting • Displacement – Step Height: 5” vs 10” • 0.127 m vs 0.254 m • step rate – 56.9 /min vs 28.8 /min )08.2/254(. )05.1/127(. 10 5 smFPower smFPower vFPower inch inch   
  • 10. Compare “power” in typical stair stepping • Work = Fd • Force: Push on the step • constant setting • Displacement – Step Height: 5” vs 10” • 0.127 m vs 0.254 m • step rate – 56.9 /min vs 28.8 /min smFPower smFPower vFPower inch inch /122.0 /121.0 10 5    Results: VO2 similar fast/short steps vs slow/deep steps