Vertical jump tests are commonly reported as the distance jumped in centimeters or inches. However, this measurement alone does not provide a complete understanding of an individual’s performance. When comparing jumps between individuals with different body weights, it is important to consider the amount of work required to move a larger mass.
To provide a more comprehensive assessment of vertical jump performance, some formulas have been developed to estimate power or work based on jump measurements. These formulas take into account factors such as body mass, jump height, and sometimes body height.
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In this article, we will explore several popular formulas for calculating power from vertical jump measurements and provide stepbystep examples of how to apply them. Understanding power output can help athletes and coaches gauge their performance and track progress in vertical jump training.
Lewis Formula
The Lewis formula, also known as the nomogram, is a commonly used formula for estimating average power. It is based on a modified falling body equation and provides an estimate of power in watts. The formula is as follows:
Average Power (Watts) = √ 4.9 x body mass (kg) x √ jumpreach score (m) x 9.81
Example:
 Body Mass: 75 kg
 Jump Height: 60 cm
Using the Lewis formula, we can calculate the average power:
Average Power = 2.2136 x 75 x 0.7746 x 9.81
Average Power = 1261.6 Watts
Harman Formula
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The Harman formula takes into account both peak and average power through multiple regression procedures. This formula provides more comprehensive power estimates than the Lewis formula. The equations for peak and average power are as follows:
Peak power (W) = 61.9 · jump height (cm) + 36.0 · body mass (kg) + 1,822
Average power (W) = 21.2 · jump height (cm) + 23.0 · body mass (kg)  1,393
Example:
 Jump Height: 60 cm
 Body Mass: 75 kg
Using the Harman formula, we can calculate both peak and average power:
Peak power (W) = (61.9 x 60) + (36 x 75) + 1822
Peak power (W) = 8236 Watts
Average power (W) = (21.2 x 60) + (23 x 75)  1393
Average power (W) = 1604 Watts
Johnson & Bahamonde Formula
The Johnson & Bahamonde formula incorporates body height in addition to jump height and body mass. This formula aims to provide more accurate power estimates using the countermovement jump. The equations for peak and average power are as follows:
Powerpeak (W) = 78.6 · VJ (cm) + 60.3 · mass (kg)  15.3 · height (cm)  1,308
Poweravg (W) = 43.8 · VJ (cm) + 32.7 · mass (kg)  16.8 · height (cm) + 431
Example:
 Jump Height: 60 cm
 Body Mass: 75 kg
 Body Height: 180 cm
Using the Johnson & Bahamonde formula, we can calculate both peak and average power:
Peak power (W) = (78.6 x 60) + (60.3 x 75)  (15.3 x 180)  1308
Peak power (W) = 5176.5 Watts
Average power (W) = (43.8 x 60) + (32.7 x 75)  (16.8 x 180) + 431
Average power (W) = 2487.5 Watts
Sayers Formula
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The Sayers equation estimates peak power output, also known as Peak Anaerobic Power output (PAPw), from the vertical jump. The formula is as follows:
PAPw (Watts) = 60.7 · jump height (cm) + 45.3 · body mass (kg)  2055
Example:
 Jump Height: 60 cm
 Body Mass: 75 kg
Using the Sayers formula, we can calculate the peak power:
PAPw = (60.7 x 60) + (45.3 x 75)  2055
PAPw = 4984.5 Watts
Conclusion
Vertical jump power calculators provide a valuable tool for assessing an individual’s power output during a vertical jump. By considering factors such as body mass, jump height, and sometimes body height, these formulas provide estimates of power that go beyond a simple measurement of distance.
It is important to note that these formulas are estimations and may not capture the true power output in every individual. However, they can serve as useful benchmarks for tracking progress and comparing performance over time.
By understanding the calculations and formulas behind these vertical jump power calculators, athletes and coaches can gain insights into their training and performance. Whether you are a professional athlete or simply looking to improve your vertical jump, these formulas can help you monitor your progress and set goals.
FAQs

Are these formulas applicable to all individuals?
These formulas provide estimations based on common variables such as body mass, jump height, and sometimes body height. While they can offer useful insights for many individuals, it is important to remember that everyone’s body is unique and may respond differently to vertical jump training. 
How can I use these formulas to improve my vertical jump?
These formulas can help you track progress and set goals in your vertical jump training. By recording your body mass, jump height, and, in some cases, body height, you can calculate power output and see how it changes over time. Adjusting your training program based on these measurements can help you focus on areas that need improvement and optimize your performance. 
Are there other factors to consider when training for vertical jump power?
Yes, vertical jump power is influenced by various factors, including strength, explosiveness, flexibility, and technique. Incorporating exercises that target these areas, such as strength training, plyometrics, and proper jumping mechanics, can enhance your power output and overall vertical jump performance.
References
 Bosco C, Luhtanen P, Komi PV (1983) A simple method for measurement of mechanical power in jumping. European Journal of Applied Physiology 50:273282.
 Harman, E.A., Rosenstein, M.T., Frykman, P.N., Rosenstein, R.M., and Kraemer, W.J. (1991). Estimation of Human Power Output From Vertical Jump. Journal of Applied Sport Science Research, 5(3), 116120.
 Johnson, D.L., and Bahamonde, R. (1996). Power Output Estimate in University Athletes. Journal of strength and Conditioning Research, 10(3), 161166.
 Keir, P.J., V.K. Jamnik, and N. Gledhill. (2003) Technicalmethodological report: A nomogram for peak leg power output in the vertical jump, The Journal of Strength and Conditioning Research Volume: 17 Issue: 4 Pages: 701703.
 Sayers, S., et al. (1999) Crossvalidation of three jump power equations. Med Sci Sports Exerc. 31: 572.
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