86.6
in
1.257
125.7
%
2,415.6
W
3
/5
45
cm
86.6
in
1.257
125.7
%
2,415.6
W
3
/5
45
cm
The Broad Jump Calculator is a comprehensive athletic assessment tool that evaluates standing long jump performance and estimates lower-body power output using the Lewis formula. The standing broad jump, also known as the standing long jump, is one of the most widely used field tests in sports science, physical education, and athletic talent identification. This calculator converts your jump distance, factors in body weight and height, and provides a detailed analysis of your explosive lower-body capabilities.
The standing broad jump has been a staple of fitness testing for over a century. It was included in the original Olympic Games in 1900 and 1904 and remains a key component of testing batteries such as the NFL Combine, Eurofit Test Battery, and numerous military and law enforcement physical fitness assessments. The test requires no specialized equipment beyond a flat surface and a measuring tape, making it one of the most accessible and practical measures of athletic power available.
From a biomechanical perspective, the standing broad jump is a complex movement that integrates ankle, knee, and hip extension in a coordinated triple extension pattern. The countermovement phase involves rapid eccentric loading of the quadriceps, hamstrings, and gluteal muscles, followed by explosive concentric contraction. The arm swing contributes approximately 10-15% of total jump distance by generating additional momentum and optimizing the takeoff angle, which ideally falls between 30 and 45 degrees relative to the ground.
The Lewis formula, developed by Fox and Mathews in 1974, provides a practical estimate of anaerobic power from standing jump performance. The formula is expressed as: P = sqrt(4.9) × body mass × sqrt(jump distance) × 9.81, where power is in watts, mass in kilograms, and jump distance in meters. While this is an estimation rather than a direct measurement, research has shown strong correlations (r = 0.85-0.92) between Lewis formula estimates and force plate measurements of peak power output.
The relative jump ratio (jump distance divided by body height) provides a size-independent measure of jumping ability. Elite male athletes typically achieve ratios above 1.50, while elite female athletes commonly reach ratios above 1.30. This normalization allows fair comparison across athletes of different statures and is particularly useful in talent identification programs where raw jump distance alone may favor taller individuals.
Performance benchmarks vary significantly by sport, age, and training status. In the NFL Combine, elite prospects routinely achieve broad jump distances exceeding 300 cm (10 feet), while collegiate-level athletes typically range from 240-280 cm. For recreational athletes, distances of 200-240 cm for males and 160-200 cm for females represent good fitness levels. The calculator classifies performance into five tiers based on these established normative data sets.
Training to improve broad jump performance involves developing both maximal strength and rate of force development. Squats, deadlifts, and Olympic lift variations build the foundational strength, while plyometric exercises such as box jumps, depth jumps, and bounding drills enhance the stretch-shortening cycle efficiency that is critical for explosive horizontal jumping. Research consistently shows that combined strength and plyometric training programs produce superior broad jump improvements compared to either modality alone.
The Broad Jump Calculator uses the Lewis Power Formula to estimate anaerobic power output from standing jump performance:
$$P = \sqrt{4.9} \times m \times \sqrt{d} \times 9.81$$
Where:
The relative jump ratio normalizes jump distance to body height:
$$\text{Relative Jump} = \frac{\text{Jump Distance}}{\text{Body Height}}$$
Performance classification uses gender-specific normative percentile tables derived from published research on athletic populations.
Performance Levels: 1 = Below Average, 2 = Average, 3 = Good, 4 = Excellent, 5 = Elite. A relative jump ratio above 1.40 for males or 1.20 for females indicates strong horizontal power. Lewis power estimates above 2000W for males or 1500W for females suggest well-developed anaerobic capacity. Compare results over time to track training progress, and use normative data specific to your sport and position for the most meaningful interpretation.
Inputs
Results
An 80 kg male jumping 220 cm produces approximately 2557 W of power with a relative jump ratio of 1.22, classified as Good performance.
Inputs
Results
A 62 kg female jumping 190 cm achieves roughly 1877 W with a relative jump ratio of 1.15, rated as Good performance.
For adult males, 220-250 cm is considered good, 250-280 cm is excellent, and over 280 cm is elite. For adult females, 180-210 cm is good, 210-240 cm is excellent, and over 240 cm is elite. These benchmarks vary by age and sport.
The Lewis formula provides a reasonable estimate with correlations of r = 0.85-0.92 against force plate measurements. However, it tends to underestimate power in very explosive athletes and overestimate in heavier individuals. For more precise measurements, the Sayers or Harman equations may be preferred.
Yes, arm swing contributes approximately 10-15% of total jump distance. Restricting arm swing reduces jump distance by 15-25 cm on average. Proper arm swing technique involves a vigorous backward-to-forward motion coordinated with the countermovement and takeoff.
The relative jump ratio divides jump distance by body height, providing a size-normalized measure of horizontal jumping ability. This allows fair comparison across athletes of different heights and is particularly useful in talent identification and long-term athlete development programs.
For training monitoring, testing every 4-6 weeks is appropriate. Allow full recovery (48-72 hours) from intense training before testing. Perform 3-5 maximal attempts with adequate rest between trials (2-3 minutes) and record the best result.
The broad jump primarily recruits the gluteus maximus, quadriceps, hamstrings, and gastrocnemius/soleus complex in a coordinated triple extension pattern. Core muscles stabilize the trunk during flight, and hip flexors assist in bringing the legs forward for landing.
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