Nicholas P. Linthorne’s research while affiliated with Brunel University London and other places

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Publications (31)


Fig. 1. Schematic diagram of a two-segment model of throwing a projectile for distance. The arm is shown at the start of the throw (a), at the instant of maximum elbow flexion (b), and at the instant of release (c). An explanation of the variables is given in the text
Characteristics of the participants
Increasing the mass of the projectile increased the optimum additional upper arm mass
Attaching mass to the upper arm can increase throw distance in a modified javelin throw
  • Article
  • Full-text available

June 2020

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353 Reads

Acta of Bioengineering and Biomechanics

Nicholas Linthorne

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Martin Heys

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Tomas Reynolds

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Purpose: The effectiveness of the whip-like coordination in throwing might be influenced by the inertial properties of the athlete's arm. This preliminary study investigated the acute effect of attaching mass to the upper arm on the distance achieved in a modified javelin throw. The aim was to identify the optimum upper arm mass that maximizes throw distance. Methods: Three well-trained adult male athletes performed maximum-effort throws with an 800-g javelin training ball. A wide range of masses (0-1.5 kg) were attached to the upper arm and a 2D video analysis was used to obtain measures of the projection variables for each attached mass. Results: All three athletes showed an effect of attached arm mass on throw distance, and with the optimum mass the athlete's throw distance was increased by 2.2 m, 1.2 m, and 0 m (7%, 4%, and 0%) respectively. The optimum mass was specific to the athlete (0.6 kg, 0.2 kg, and 0 kg) and changes in throw distance were mostly due to changes in release velocity rather than changes in release angle or release height. The experimental results were broadly similar to those obtained from a simple 2D mathematical model of throwing. Conclusions: These results indicate that some javelin throwers might see an increase in throwing performance when a mass is attached to their upper arm. However, the relationship between upper arm mass and throwing performance should be investigated further with studies on more athletes, projectiles of different mass, and other throwing events.

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The correlation between jump height and mechanical power in a countermovement jump is artificially inflated

March 2020

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349 Reads

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33 Citations

The countermovement jump is commonly used to assess an athlete’s neuromuscular capacity. The aim of this study was to identify the mechanism behind the strong correlation between jump height and mechanical power in a countermovement jump. Three athletes each performed between 47 and 60 maximal-effort countermovement jumps on a force platform. For all three athletes, peak mechanical power and average mechanical power were strongly correlated with jump height (r = 0.54–0.90). The correlation between jump height and peak power was largely determined by the correlation between jump height and the velocity at peak power (r = 0.83–0.94) and was not related to the correlation between jump height and the ground reaction force at peak power (r = −0.20–0.18). These results confirm that the strong correlation between jump height and power is an artefact arising from how power is calculated. Power is a compound variable calculated from the product of instantaneous ground reaction force and instantaneous velocity, and application of statistical theory shows that the correlation between jump height and power is artificially inflated by the near-perfect correlation between jump height and the velocity at peak power. Despite this finding, mechanical power might still be useful in assessing the neuromuscular capacity of an athlete.


Optimal mass of the arm segments in throwing: A two-dimensional computer simulation study

March 2020

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47 Reads

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3 Citations

Producing a high release speed is important in throwing sports such as baseball and the javelin throw. Athletes in throwing sports might be able to achieve a greater throwing speed by improving the effectiveness of the kinetic chain. In this study a two-dimensional computer simulation model of overarm throwing was used to examine the effect of changes in forearm mass and upper arm mass on the release speed of a lightweight (58 g) projectile. The simulations showed that increasing the mass of the forearm decreases release speed, whereas increasing the mass of the upper arm initially increases release speed. For a given forearm mass there is an optimal upper arm mass that produces the greatest release speed. However, the optimal upper arm mass (5–6 kg) is substantially greater than that of an average adult (2.1 kg). These results suggest that athletes might be able to throw faster if they had a stronger tapering of segment mass along the length of their arm. A stronger taper could be readily achieved by attaching weights to the upper arm or by using hypertrophy training to increase the mass of the upper arm. High-speed overarm throwing is a complex three-dimensional movement and this study was a preliminary investigation into the effect of arm segment mass on throwing performance. Further simulation studies using three-dimensional throwing models are needed to generate more accurate insights, and the predictions of the simulation studies should be compared to data from experimental intervention studies of throwing sports.


Attaching mass to the upper arm can increase throw distance in a modified javelin throw

January 2020

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33 Reads

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2 Citations

Acta of Bioengineering and Biomechanics

Purpose: The effectiveness of the whip-like coordination in throwing might be influenced by the inertial properties of the athlete's arm. This preliminary study investigated the acute effect of attaching mass to the upper arm on the distance achieved in a modified javelin throw. The aim was to identify the optimum upper arm mass that maximizes throw distance. Methods: Three well-trained adult male athletes performed maximum-effort throws with an 800-g javelin training ball. A wide range of masses (0-1.5 kg) were attached to the upper arm and a 2D video analysis was used to obtain measures of the projection variables for each attached mass. Results: All three athletes showed an effect of attached arm mass on throw distance, and with the optimum mass the athlete's throw distance was increased by 2.2 m, 1.2 m, and 0 m (7%, 4%, and 0%) respectively. The optimum mass was specific to the athlete (0.6 kg, 0.2 kg, and 0 kg) and changes in throw distance were mostly due to changes in release velocity rather than changes in release angle or release height. The experimental results were broadly similar to those obtained using a simple 2D mathematical model of throwing. Conclusions: These results indicate that some javelin throwers might see an increase in throwing performance when a mass is attached to their upper arm. However, the relationship between upper arm mass and throwing performance should be investigated further with studies on more athletes, projectiles of different mass, and other throwing events.


Figure 1. Plot (a) shows the linear increase in 20-m sled-towing time with increasing sled weight for a male athlete (Participant 4). The solid line is a regression curve and the dashed lines indicate the 95% confidence limits. The gradient of the line of best fit gives the rate of increase in time for this athlete. Plot (b) shows that there were substantial differences in the rate of increase in 20-m sled-towing time with increasing sled weight within this group of male athletes. Only the regression curves for each of the 22 athletes are shown; data points have been omitted for clarity. 
Figure 2. This plot shows the lack of relationship between the rate of increase in 10-m and 20-m sled-towing time with increasing sled weight and normalized 1RM half-squat performance. Data for 22 male athletes. The solid line is a linear regression curve and the dashed lines indicate the 95% confidence limits. 
Effect of strength-to-weight ratio on the time taken to perform a sled-towing exercise

June 2017

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160 Reads

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1 Citation

Journal of Human Sport and Exercise

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Nicholas P. Linthorne

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[...]

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Sled-towing exercisesare effective at developing sprint acceleration in sports. In a sled-towingexercise the time taken by an athlete to tow the sled over a given distance isaffected by the weight of the sled, the frictional properties of the runningsurface, and the physiological capacities of the athlete. To accurately set thetraining intensity for an athlete, the coach needs a detailed understanding ofthe relationships between these factors. Our study investigated therelationship between the athlete's strength-to-weight ratioand the rate of increase in sled-towing time with increasing sled weight. Twenty-two male athletes performed aone-repetition maximum (1RM) half-squat and sled-towing exercises over 20 mwith sleds of various weights. The strength of the correlation between 1RM half-squat performance (normalized to bodyweight)and the rate of increase in sled-towing time with increasing sled weight was interpreted using the Pearson product-moment correlationcoefficient. As expected, we found substantialinter-athlete differences in the rate of increase in time with increasing sledweight, with a coefficient of variation of about 21% and 17% for sled-towingtimes over 10 and 20 m, respectively. However, the rate of increase in sled-towing time showed nocorrelation with normalized 1RM half-squat performance (r = -0.11, 90% confidence interval = -0.45 to 0.26; and r = -0.02, 90% confidence interval =-0.38 to 0.34, for sled-towing times over 10 and 20 m, respectively). Theseresults indicate thatinter-athlete differences in the rate of increase in sled-towingtime with increasing sled weight are not likely to be due to differences instrength-to-weight ratio. Instead,we recommend the weight of the sled be scaled according to the athlete'spower-to-weight ratio.



Figure 2. Locations of the target zones (0, 1, 2, and 3) used to score bowling accuracy (for bowling to a right-handed batsman). Participants were asked to try to hit the top of the off-stump (*) after the bounce. 
Figure 3. Plot (a) shows the linear decrease in ball speed with increasing ball weight. Data for Participant 2. The solid line is a linear regression fit and the dashed lines show the 90% confidence bands. Plot (b) shows the differences in the rate of decrease in ball speed among the 10 participants. Only the regression lines are shown; data points have been omitted for clarity. The dashed line shows the relationship calculated from the bowling model (equation 1, with T = 110 N·m, ∆θ = 270°, vrun-up = 5 m/s, marm = 5% M, and M = 90 kg). 
Table 3 . The acute effects of ball weight on ball speed (±90% CI).
Figure 4. These plots show the effect of ball weight on the ability of a player to bowl a 'good length'; (a) change in the length of the delivery, (b) change in release angle required to maintain the same length as that achieved with a standard-weight ball (156 g). Calculations are from a 2D aerodynamic model of the flight of a cricket ball [31]. The shaded area indicates the range of ball weight used in the present study. 
Table 4 . Individual analysis of the effect of the training program on the participant's ball speed.
Effect of Ball Weight on Speed, Accuracy, and Mechanics in Cricket Fast Bowling

February 2017

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1,087 Reads

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29 Citations

Sports

The aims of this study were: (1) to quantify the acute effects of ball weight on ball release speed, accuracy, and mechanics in cricket fast bowling; and (2) to test whether a period of sustained training with underweight and overweight balls is effective in increasing a player’s ball release speed. Ten well-trained adult male cricket players performed maximum-effort deliveries using balls ranging in weight from 46% to 137% of the standard ball weight (156 g). A radar gun, bowling target, and 2D video analysis were used to obtain measures of ball speed, accuracy, and mechanics. The participants were assigned to either an intervention group, who trained with underweight and overweight balls, or to a control group, who trained with standard-weight balls. We found that ball speed decreased at a rate of about 1.1 m/s per 100 g increase in ball weight. Accuracy and bowling mechanics were not adversely affected by changes in ball weight. There was evidence that training with underweight and overweight balls might have produced a practically meaningful increase in bowling speed (>1.5 m/s) in some players without compromising accuracy or increasing their risk of injury through inducing poor bowling mechanics. In cricket fast bowling, a wide range of ball weight might be necessary to produce an effective modified-implement training program.


Fig. 1. Schematic diagram of a long soccer throw-in showing the projection variables that determine the effective throw distance.
The Effect of Ball Spin Rate on Distance Achieved in a Long Soccer Throw-in

December 2016

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890 Reads

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6 Citations

Procedia Engineering

In this study a skilled soccer player performed throws for maximum distance while manipulating the backspin on the ball. A video analysis was used to obtain measures of the ball projection variables. We found that putting greater backspin on the ball did not reduce the player's ability to produce a high projection velocity. Throw distance increased at a rate of about 0.6 m per 1 rev/s increase in backspin, and the experimental data was consistent with the predictions of a mathematical model. We recommend players apply the highest possible backspin when performing a long throw-in.


Figure 3. These plots show the mean race times at Olympic Games competitions from 1964 to 2012 after de-trending with a curve of the same shape as the historical trend in 100-m performances; (a) men, (b) women. Vertical error bars indicate the 90% confidence interval in the mean. There is a substantial deviation at the Mexico City 1968 Olympic Games due to the high altitude of this site (2250 m).
Improvement in 100-m Sprint Performance at an Altitude of 2250 m

May 2016

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141 Reads

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5 Citations

Sports

A fair system of recognizing records in athletics should consider the influence of environmental conditions on performance. The aim of this study was to determine the effect of an altitude of 2250 m on the time for a 100-m sprint. Competition results from the 13 Olympic Games between 1964 and 2012 were corrected for the effects of wind and de-trended for the historical improvement in performance. The time advantage due to competing at an altitude of 2250 m was calculated from the difference between the mean race time at the 1968 Olympic Games in Mexico City and the mean race times at the low-altitude competition venues. The observed time advantage of Mexico City was 0.19 (±0.02) s for men and 0.21 (±0.05) s for women (±90% confidence interval). These results indicate that 100-m sprinters derive a substantial performance advantage when competing at a high-altitude venue and that an altitude of 1000 m provides an advantage equivalent to a 2 m/s assisting wind (0.10 s). Therefore, the altitude of the competition venue as well as the wind speed during the race should be considered when recognizing record performances.


Optimum Projection Angle for Attaining Maximum Distance in a Rugby Place Kick

February 2014

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699 Reads

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10 Citations

Journal of Sports Science and Medicine

This study investigated the effect of projection angle on the distance attained in a rugby place kick. A male rugby player performed 49 maximum-effort kicks using projection angles of between 20 and 50°. The kicks were recorded by a video camera at 50 Hz and a 2 D biomechanical analysis was conducted to obtain measures of the projection velocity and projection angle of the ball. The player's optimum projection angle was calculated by substituting a mathematical expression for the relationship between projection velocity and projection angle into the equations for the aerodynamic flight of a rugby ball. We found that the player's calculated optimum projection angle (30.6°, 95% confidence limits ± 1.9°) was in close agreement with his preferred projection angle (mean value 30.8°, 95% confidence limits ± 2.1°). The player's calculated optimum projection angle was also similar to projection angles previously reported for skilled rugby players. The optimum projection angle in a rugby place kick is considerably less than 45° because the projection velocity that a player can produce decreases substantially as projection angle is increased. Aerodynamic forces and the requirement to clear the crossbar have little effect on the optimum projection angle. Key PointsThe optimum projection angle in a rugby place kick is about 30°.The optimum projection angle is considerably less than 45° because the projection velocity that a player can produce decreases substantially as projection angle is increased.Aerodynamic forces and the requirement to clear the crossbar have little effect on the optimum projection angle.


Citations (25)


... The addition of mass will have greater effects when placed farther away from the axis of rotation (i.e., shoulder), which may decrease throwing velocity and arm speed. However, increasing mass with WR above the elbow could allow for a tapering of segmental mass, which may actually act to increase arm speed in the smaller, distal segments (i.e., forearm and hand) provided that the athlete might still effectively accelerate the mass, based on the conservation of angular momentum (15,24,32). Nonetheless, the acute effects of WR throwing with pitchers are unexplored. ...

Reference:

Acute Effects of Wearable Resistance Applied to the Throwing Arm on Performance in Baseball Pitchers
Attaching mass to the upper arm can increase throw distance in a modified javelin throw
  • Citing Article
  • January 2020

Acta of Bioengineering and Biomechanics

... Ballistic training, which frequently includes the CMJ exercise, has been shown to be effective in improving a number of physical attributes such as agility and maximal power output (Makaruk & Sacewicz, 2010;Syuhadah, et al., 2022). CMJ height performance is also positively correlated with lower extremity maximal strength and power capabilities, and its ease of implementation is responsible for its high popularity as a field test (Linthorne, 2021;Nuzzo, Mcbride, Cormie, Mccaulley, 2008). Of even more importance for our study is that the decrement in CMJ height has been shown to be a powerful indicator of neuromuscular fatigue (Gathercole, Sporer, Stellingwerff, & Sleivert, 2015). ...

The correlation between jump height and mechanical power in a countermovement jump is artificially inflated
  • Citing Article
  • March 2020

... The addition of mass will have greater effects when placed farther away from the axis of rotation (i.e., shoulder), which may decrease throwing velocity and arm speed. However, increasing mass with WR above the elbow could allow for a tapering of segmental mass, which may actually act to increase arm speed in the smaller, distal segments (i.e., forearm and hand) provided that the athlete might still effectively accelerate the mass, based on the conservation of angular momentum (15,24,32). Nonetheless, the acute effects of WR throwing with pitchers are unexplored. ...

Optimal mass of the arm segments in throwing: A two-dimensional computer simulation study
  • Citing Article
  • March 2020

... Most studies included experienced junior or senior players; however, three studies included students who were novices in their sport [15,17,19]. Nine studies [15,16,[18][19][20][21][22][23][24] investigated the effects of over-and (Table 1). In the forearm loading and pulley device categories, two studies each ( Table 2) were performed [15,17,25,26], while in the elastic resistance category, five studies (Table 3) were included [27][28][29][30][31]. ...

Effect of Ball Weight on Speed, Accuracy, and Mechanics in Cricket Fast Bowling

Sports

... The coupling between the electron motion and its spin also suppresses backscattering of the electron (31) because flipping the velocity direction of the electron requires also flipping its spin direction. This effect also holds for classical spin, and it stabilizes a rotating football against scattering (26). Flipping (a) A scheme of the proposed chiral induced spin selectivity (CISS) mechanism. ...

The Effect of Ball Spin Rate on Distance Achieved in a Long Soccer Throw-in

Procedia Engineering

... A tailwind during the sprint race supports running performance. In the 100-m sprint, a 2.0-m·s −1 tailwind generally reduces sprint time by approximately 0.1 s in the most mathematical models (29,30,43). We performed wind measurements during the 100-m sprint by the official methods of the Japan Association of Athletics Federation and WA. ...

Improvement in 100-m Sprint Performance at an Altitude of 2250 m

Sports

... All else being equal, maximal ball velocity will produce the greatest distance and height; however, the elements for optimum projection angle and accuracy are less obvious. A review of the literature reports a projection angle range of 30-45° for maximum ball displacement (Brancazio, 1985;Linthorne & Stokes, 2014;Pfeifer et al., 2018;Zebas & Nelson, 1988). Kick accuracy is helped by an end-over-end tumbling ball, which utilizes an aerodynamic angle of attack that reduces lift and drag forces and provides gyroscopic stability to elicit a more predictable flight path (Brancazio, 1985;Lee et al., 2013). ...

Optimum Projection Angle for Attaining Maximum Distance in a Rugby Place Kick
  • Citing Article
  • February 2014

Journal of Sports Science and Medicine

... Oxford Metrics Ltd., Oxford, UK). Due to variability in seam position during ball flight, marker trajectories were not filtered (Linthorne & Patel, 2011;Spratford et al., 2018). A validated model calculated ball kinematics (Sakurai et al., 2013;Spratford et al., 2018;Whiteside et al., 2013). ...

Optimum Projection Angle for Attaining Maximum Distance in a Soccer Punt Kick
  • Citing Article
  • March 2011

Journal of Sports Science and Medicine

... The group that vaulted over 4.90 m had a higher maximum pole bend percent, takeoff angle, the height of the body mass centre at the takeoff moment, the distance between the body mass centre and the pole at PR, speed of the body mass centre after TO1, speed of the penultimate and last steps and grip height compared with the group that vaulted under 4.90 m (Gudelj et al., 2015). Moreover, it was found that the peak height increased linearly at a rate of 0.54 m per 1 m/s increase in approach velocity (with a 95% confidence interval of ±0.03 m/s) (Linthorne & Weetman, 2012). Previous studies also established significant correlations between vault height and both approach velocity (r = 0.86; Gross et al., 2020) and takeoff velocity (r = 0.72; Hanley et al., 2022) in female pole vaulters. ...

Effects of Run-Up Velocity on Performance, Kinematics, and Energy Exchanges in The Pole Vault
  • Citing Article
  • June 2012

Journal of Sports Science and Medicine