Relationships between Strength, Power and Speed

Posted June 1, 2009 by David Archer
Categories: Uncategorized

We had a taster session on Wednesday here at the University of Sunderland where we looked at the relationship between strength, power and velocity.

Strength was determined as torque production when performing a knee extension/flexion at 60 degs/s on our Biodex System 3 isokinetic dynamometer.

Speed was determined by 10m sprint timed using two sets of Brower timing gates. Time was used rather than speed to give an example of negative correlations in Table 2.

An index of power was determined from vertical jumping performed using vertical jump mats. Subjects performed a counter-movement jump with their hands by their sides. We could use the Lewis equation (1981)to calculate the average power produced during this exercise.

Predicted power (watts) = 21.72 x subject mass (kg) x square root of the jump height (m)

And finally a measurement of lower limb velocity (ankle) during a functional movement (kicking a football) was made from a single marker using our Vicon 3D analysis System.

Football kick

Football strike captured in our Biomechanics lab

This system uses markers placed on the body and an 8 camera setup to track the movement of these markers in 3-dimensional space during the movement. Through the use of Vicon software ankle velocity was recorded.

Table 1 contains some of the raw data from four of the subjects (with permission).

Table 1: Measures of lower-body strength, power and speed.

Leg Strength Vertical Jump Height (m) 10m Sprint Time (s) Ankle Velocity During Football Kick (m/s)
Name Quadriceps (Nm) Hamstrings (Nm)
Average 160.8 91.5 0.43 1.93 11.6
Max 226.9 168.7 0.49 2.20 12.6
Min 89.2 25.0 0.37 1.81 9.8
Andy 176.5 94.8 0.49 1.81 11.6
Mike 150.5 77.5 0.41 1.82 12.5
Phil 226.9 168.7 0.46 1.88 12.6
Jo 89.2 25 0.37 2.2 9.8

As we can see, sprint speeds ranged between 4.5 and 5.5 m/s.

Table 2: Correlation coefficients between these parameters:

Leg Strength Vertical Jump Height (m) 10m Sprint Time (s) Ankle Velocity: Football Kick (m/s)
Quadriceps (Nm) Hamstrings (Nm)
Quadriceps Torque (Nm) 1.00 0.99 0.81 -0.74 0.83
Hamstrings Torque (Nm) 0.99 1.00 0.72 -0.63 0.80
Vertical Jump Height (m) 0.81 0.72 1.00 -0.77 0.58
10m Sprint Time (s) -0.74 -0.63 -0.77 1.00 -0.89
Ankle Velocity: Football Kick (m/s) 0.83 0.80 0.58 -0.89 1.00

Correlations

At its simplest, a correlation is a measure of the relationship between two variables. For a more lengthy description of what correlations mean go to this website. As we saw, correlations between hamstring and quadriceps strength was very good (R = 0.99), indicating the not unsurprising fact that those with stronger hamstrings also tended to have stronger quadriceps. An example of a negative correlation was found between quadriceps strength and 10m sprint time (R=-0.74). This is a negative correlation because those with the strongest quadriceps tended to have the shortest 10m times (because they were the fastest).

Comparing all measures to our ‘functional’ movement of kicking a football it was clear that lower limb strength was strongly linked to how hard the participants could kick a football (R=0.83 and 0.80) but less so to vertical jump performance (R=0.58). Again this is unsurprising because the movement pattern is more similar between knee extension/flexion and kicking a football compared to a vertical jump and kicking a football. This is despite the fact that the angular velocities when kicking a football are markedly greater than the angular velocities when performing a knee extension/flexion exercises (set at 60 deg/s).

Usain Bolt’s Theoretical 200m time

Posted May 18, 2009 by David Archer
Categories: Sprinting

Following my last article, I’ve just been reading the always excellent The Science of Sport blog and for the fun of it have decided to look at the potential times Usain could have achieved over 200m i.e. what are the potential 150-200m splits he might have achieved?

His velocity at 150m was 11.24 m/s, his deceleration from 100-150m could be calculated as follows:

a=(v1-v2)/t = (11.24 m/s – 11.74 m/s)/4.45s = -0.11236 m/s2

Using my very rusty equations of motion equation:

s = v1t + ½ at2

produces a time of 4.55s for his final theoretical 50m resulting in an overall time of 18.90s or 0.4s lower than Bolt’s current world record (albeit on a curved track). This theoretical time is clearly a massive underestimate and it is very likely that his deceleration from 150-200m would have been far greater than -0.11236 m/s2

Ross Tucker goes into further detail about potential reasons why Bolt’s more realistic deceleration over that phase is likely to have resulted in a time closer to 4.75s for that final 150-200m distance.

Regardless of all these calculations, the 9.90s 100m time he had yesterday indicates that he’s already running fast very early in the season. Who knows what awaits in the World Championships in August 15th in Berlin 2009?

Usain Bolt sprints to victory

Posted May 17, 2009 by David Archer
Categories: Sprinting

Usain Bolt recovers from a car-crash on April 29th to emerge as sharp as ever in the ‘BUPA Great Manchester 150′ held earlier today. Despite training with spikes for the first time since his injury during the last few days he ran 14.35s for the 150m today, beating Britain’s Marlon Devonish into second at 15.07 s. The previous world best time for 150m (manually timed 14.8s) was by Italy’s Pietro Mennea (former 200m world record holder).

An interesting comparison of his time would be to theoretical splits of Michael Johnson’s 200m world record of 19.32 s in 1996. Johnson ran 50m in 5.63s, 100m in 9.96s and 150m in 14.43s on his way to his world record. It must be remembered that Johnson’s 200m was on 100m bend and 100m straight, unlike Bolt’s  race on a 150m straight.

Mureika, J. R. (2003)  Canadian Journal of Physics 81 (7), 895-910

According to BBC footage Bolt’s splits were as follows:

50m 5.64s

100m 9.90s

150m 14.35s

150msprint

His speed over the first 50m was 8.87 m/s, from 50-100m it was 11.74 m/s and over the final 50m his speed was 11.24 m/s.

This shows that Usain was decelerating over the final 50m.

This would be expected to be linked to:

  • depletion of his phosphocreatine stores
  • inhibition of anaerobic glycolysis.

Nonetheless it was an impressive performance in what were very poor conditions on a wet track.

To compare to his world record breaking 100m in the Beijing Olympics 2008: His splits were 5.50s for the first 50m and 9.69 for the 100m, equivalent to velocities of 9.09 m/s and 11.93 m/s over 0-50 and 50-100m respectively.

New National Anti-Doping Agency

Posted May 15, 2009 by David Archer
Categories: Drugs in Sport

UK Sport is the UK’s high performance sports agency and focusses on worldclass sporting performance. It currently runs drug testing in sport in the UK.

That is all to change later this year with its new replacement (yet to be titled). This new anti-doping agency will target both athletes taking prohibited drugs and those supplying the drugs. It is expected to take a more intelligence-lead approach to drug detection and prevention.

Hello world!

Posted May 14, 2009 by David Archer
Categories: Uncategorized

First blog post on my new blog!

This blog will be mainly focussed on the topics of exercise physiology and sports nutrition, specifically to help students studying these topics at an undergraduate level.

Future plans are to have students on the modules I lead – SSP212 (Physiology of Sport and Exercise) and SSP312 (Metabolism and Nutrition in Sport and Exercise) add their ownBikeTest content.


Follow

Get every new post delivered to your Inbox.