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    From running mechanics to sprinting performance:

    FORCING THE ISSUE

    Peter Weyand

    Locomotor Performance Laboratory

    Southern Methodist University

    Host and Organizer:Casey Thom

    Rice Speed SymposiumFebruary 19, 2011

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    From running mechanics to sprinting performance:

    FORCING THE ISSUE

    Speed is ~ entirelydetermined by what

    happens on the ground

    Physics Ground Force/ Body Weight SPEED

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    Running speed is determined by:

    1) The body weight of the runner.

    2) The amount of force the limbs apply to the ground.

    Force

    WeightSPEEDis the key for

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    Mass-specific force

    Ground Force Applied

    Body Weight

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    Why is mass-specific forceso important?

    Ground Force Applied

    Body Weight

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    Scientific Concept 1:

    because FORCE DETERMINES MOTION:(no exceptions)

    THE force-motion relationship

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    The how of Mass-specific

    force-speed relationship

    Ground Force Applied

    Body Weight

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    Scientific Concept 2:

    THE FORCE REQUIRED FOR SPEEDDEPENDS DIRECTLY ON BODY MASS:

    true for runners across the continuum

    of sprinting abilities

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    Absolute

    FORCE

    into the ground(Newtons)

    SPEED

    Heavier Person

    Lighter Person

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    Relative

    FORCE

    into the ground(x Body Weight)

    SPEED

    Heavy andLight Person

    Jog =

    1.5 x Body Weight

    (Everyone)

    Sprint =

    ~ 2.0 x Body Weight

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    The how of Mass-specific forceextends to sprinting speeds

    Ground Force Applied

    Body Weight

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    Relative

    FORCE

    into the ground(x Body Weight)

    SPEED

    Sprinter

    Jog =

    1.5 x Body Weight

    (Everyone)

    Elite Sprint =

    2.5 x Body Weight

    [note: the forces above represent approximations of the average vertical forces applied during foot-ground contact]

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    Ground Forces have:

    1) magnitude, and 2) direction

    1) Magnitude requirements set by body mass

    2) What about direction requirements?

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    Horizontal

    Vertical

    The forces that are important fortrack performance:

    Vertical and Horizontal

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    Horizontal

    Vertical

    The forces that are important fortrack performance:

    Vertical and Horizontal

    because a runners motion occurs

    primarily along these two axes

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    The motion of a runner in both thehorizontal and vertical directions is set by:

    Force/Body Weight ratios

    Can the vertical and horizontal forces needed forspeed be accurately measured?

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    Horizontal (Y)

    Vertical(Z)

    YES, the both horizontal and vertical groundreaction forces can be measured very accurately:

    FORCE PLATES, FORCE TREADMILLS

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    Force plates and treadmills at SMUs LocomotorPerformance and Applied Physiology Laboratories

    Force plates

    (acceleration)

    Force treadmills

    (steady speed)

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    The force-motion relationship

    during sprint running

    Phase 1 Acceleration

    Phase 2 ~ Steady SpeedPhase 3 Slowing Down

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    R t ti Elit 100 D h

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    Representative Elite 100 m DashTime-Velocity Profiles

    (1987 World Champs)

    Velocity(m/s)

    0

    3

    6

    9

    12

    0 3 6 9 12

    100 m World Champs Finalists

    (n = 8 male; n = 8 female)

    Men

    Women

    Time (s)

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    The force-motion relationship

    during sprint running

    Phase 1 Acceleration (0 - 20 m)

    Phase 2 ~ Steady Speed (20 - 80 m)Phase 3 Slowing Down (80 100 m)

    R t ti Elit 100 D h

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    Representative Elite 100 m DashTime-Velocity Profiles

    (1987 World Champs)

    Velocity(m/s)

    0

    3

    6

    9

    12

    0 3 6 9 12

    100 m World Champs Finalists

    (n = 8 male; n = 8 female)

    Men

    Women

    Time (s)

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    RACE PHASE I:

    Acceleration Ground Forces

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    Which forces are predominantlyimportant for speed while accelerating?

    Horizontal (Fy/Wb ) - determines change in speed

    Vertical (Fz/Wb) Body weight must be supported against gravity

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    In space there is no need to support body weight:

    The body is oriented horizontally to exert the force

    needed for horizontal acceleration

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    On earth there are two requirements duringacceleration:

    1) Apply horizontal force to accelerate.2) Apply enough vertical force to support the body.

    So, the body and limbs are oriented at an angle toapply both horizontal and vertical force to the groundin order to accelerate

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    No gravity Gravity

    Horizontal only Horizontal and vertical

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    The only time during the stride that a runners speed canchange is when the foot is in contact with the ground

    Speed in the air is constant

    Scientific Concept 3:

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    Small, but needed disclaimer

    The frictional resistance of air (or wind) is being ignored

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    If you want to speed up or accelerate, you can only do sowhen the foot is on contact with the ground

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    How much ground force is necessary toaccelerate rapidly?

    This depends directly on the body weightof the runner

    Accelerating

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    Accelerating

    Force = mass accelerationForce/mass = acceleration

    More massiverunners mustapply greater

    ground forces toachieve the sameacceleration

    h f / h ld

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    How much force/mass shoulda good sprinter apply to the

    ground while accelerating?

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    How much force/mass should a good sprinterapply to the ground while accelerating?

    No single answer is available at present

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    Acceleration and Impulse-momentum approaches can both beused to understand step to step changes in running velocity

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    Acceleration

    F = ma

    Instantaneous only

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    from acceleration to impulse-momentum

    Impulse - Momentuman informative approach for considering the mass-

    specific forces required for sprint accelerations

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    Impulse

    Average force time force is applied

    determines the net

    change in velocity

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    Acceleration

    F = maForce = mass acceleration

    acceleration = velocity/time

    = m/s per second

    = ( m/s)/s

    l l

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    From Acceleration to Impulse

    F = maF = m (v)/t

    multiply through by t

    Force t = m v*

    Force time = mass velocity*

    Change in velocity

    *Change in velocity during thetime of force application

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    The change in the horizontal velocity of the bodymust equal:

    speed = Time of force Average horizontal force applied (Fy/Wb)

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    The change in the velocity of the body must equal:

    speed = Time ofcontact Average force exerted (Fy/Wb)

    If you know the change in the horizontal velocity of the

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    If you know the change in the horizontal velocity of thebody and the contact time,

    you can determine the horizontal force applied during

    contact:

    (speed Wb)/contact time = Average force (Fy)

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    Practical Acceleration Messages

    1) No extra time in the air

    2) Train to enhance force delivered to theground (relative to Body weight):

    - Strength, power, running mechanics

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    RACE PHASE II:

    ~ Steady-speed Sprinting

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    The how of the mass specific force-speed relationshipduring steady-speed running

    Ground Force Applied

    Body Weight

    Representative Elite 100 m Dash

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    Representative Elite 100 m DashTime-Velocity Profiles

    (1987 World Champs)

    Velocity(m/s)

    0

    3

    6

    9

    12

    0 3 6 9 12

    100 m World Champs Finalists

    (n = 8 male; n = 8 female)

    Men

    Women

    Time (s)

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    The force-motion relationship

    during sprint running

    Phase 1 Acceleration (0 - 20 m)

    Phase 2 ~ Steady Speed (20 - 80 m)Phase 3 Slowing Down (80 100 m)

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    Understanding running speed interms of ground force application:

    steady-speed running

    Speed = Force/Wb Freqstr Lc

    where:

    Force stance-averaged vertical force

    Wbthe force of the bodys weight

    Freqstr Stride frequency

    Lc - length of contact*

    *forward distance the body travels while the foot is in contact with the

    ground [illustrated as step length above]

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    Runners keep the speed they

    already have

    Need to push down, not backwardonce up to speed

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    Runners are like bouncing balls

    Need to push down, not backward

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    Skipping stones

    Momentum moves the stone forward after the initial push

    PART II

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    PART IIMechanics of steady-speed running:

    scientific basics

    Very Basic Running Mechanics:

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    e y as c u g ec a cssteady-speed running

    The average vertical ground reaction force must equal the bodysweight over time.

    Horizontal forces are relatively small and have relatively littleeffect on a runners motion.

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    VERTICAL

    FORCE

    Body

    Weight

    Synchronized Force-motion video

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    [force and video data acquisition at 1000 Hz]

    SMUs Locomotor Performance Laboratory

    Vertical Force vs Foot ground Contact Time across Running Speed

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    Vertical Force vs. Foot-ground Contact Time across Running Speed

    0

    500

    1000

    1500

    2000

    2500

    3000

    111

    21

    31

    41

    51

    61

    71

    81

    91

    101

    111

    121

    131

    141

    151

    161

    171

    181

    191

    201

    211

    Fz (N)

    Tc (ms)

    Vertical Force-Time Across Speed - AVERAGES

    3.03 m/s

    4.02 m/s

    5.01 m/s

    6.04 m/s

    8.05 m/s

    10.83 m/s

    note: the waveforms at each speed represent an average of 8-20 footfalls for an individual runner

    Horizontal Force vs Foot ground Contact Time across Running Speed

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    Horizontal Force vs. Foot-ground Contact Time across Running Speed

    note: the waveforms at each speed represent an average of 8-20 footfalls for an individual runner

    Vertical (yellow) and Horizontal (red) Ground Rx Forces for three consecutive steps at 10 m/s;

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    -1.0

    -0.5

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    126

    51

    76

    101

    126

    151

    176

    201

    226

    251

    276

    301

    326

    351

    376

    401

    426

    451

    476

    501

    526

    551

    576

    601

    Force(BW)

    Time (ms)

    Vertical (yellow) and Horizontal (red) Ground Rx. Forces for three consecutive steps at 10 m/s;

    Time

    Force

    Practical Top Speed Messages

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    Practical Top Speed Messages

    1) Maximize time in the air

    2) Minimize time on the ground

    3) Train to enhance force delivered to theground (relative to Body weight):

    - Strength, power, running mechanics

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    The force-motion relationship

    during sprint running

    Phase 1 Acceleration (0 - 20 m)

    Phase 2 ~ Steady Speed (20 - 80 m)Phase 3 Slowing Down (80 100 m)

    Representative Elite 100 m Dash

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    Representative Elite 100 m DashTime-Velocity Profiles

    Velocity(m/s)

    0

    3

    6

    9

    12

    0 3 6 9 12

    100 m World Champs Finalists(n = 8 male; n = 8 female)

    Men

    Women

    Time (s)

    Phase III Fatigue

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    Phase III FatigueScience and Application

    1) Late race speed is compromised by muscular

    force impairment.

    2) Fatigue is minimal in a 100 m race.

    3) Training should focus on enhancing topspeed rather than enhancing speed-endurance.

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    CONCLUSIONS and Wrap-Up:

    ALL RACE PHASES

    SINGLE CONCLUSION:

    http://sportsillustrated.cnn.com/vault/gallery/featured/GAL1144172/2/10/index.htm
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    Sprint running performance:

    Speed is ~ entirelydetermined by theMASS-SPECIFIC

    FORCE APPLIED TO

    the ground

    Physics Ground Force/ Body Weight SPEED

    SCIENTIFIC TAKE-HOME MESSAGES

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    SCIENTIFIC TAKE-HOME MESSAGES

    1. Sprinting speeds depend directly on the amount ofground force applied in relation to the bodys weight(mass-specific).

    2. The above is true during all phases of a sprint race:

    acceleration, steady-speed, fatiguing.

    3. Acceleration: relatively longer ground times, shorteraerial times.

    4. Maximum velocities: relatively short ground timeslong aerial times.

    Southern Methodist University

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    y

    Locomotor Performance Laboratory

    (http://www.smu.edu/locomotor)

    5538 Dyer Street

    Dallas, TX 75206

    http://www.smu.edu/locomotorhttp://www.smu.edu/locomotorhttp://www.smu.edu/locomotor