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📚 Sources & Methodology

Epley, B. (1985) — Poundage Chart, Boyd Epley Workout. Lincoln, NE: Body Enterprises — original source of the Epley 1RM formula. Brzycki, M. (1993) — Strength Testing, Journal of Physical Education, Recreation & Dance, 64(1), 88-90 — Brzycki formula validation, nsca.comPrimary sources
ExRx.net & Symmetric Strength — bench press and barbell lift strength standards tables compiled from drug-tested recreational and competitive lifters, exrx.netCurrent standards
Coggan, A.R. — cycling power training zones and watts/kg classification system, widely adopted by TrainingPeaks, Zwift, and USA Cycling, trainingpeaks.comCoggan zones
RunRepeat 2026 Global Running Report — average finish times by distance and gender, half marathon and marathon pace data, runrepeat.com2026 data

Running Pace, Bench Press 1RM & Cycling Wattage — Formulas, Benchmarks & Common Mistakes

Three calculators sit above all others in sports performance: running pace (which every distance runner needs every training cycle), bench press 1RM (the most-tracked strength metric in the gym), and cycling wattage (the foundation of every structured cycling training plan). Each has a specific formula, a specific accuracy limitation, and a specific mistake that athletes make regularly. The calculators here are built around those three anchors, with the additional tools — half marathon pace, stride length, cycling training zones — that fill the gaps competitors consistently miss.

Running Pace Calculator — Three Directions and the Speed Conversion Trap

Pace and speed are not the same thing and the distinction trips up athletes constantly. Pace is time per distance (min/km or min/mile) — used in running and swimming. Speed is distance per time (km/h or mph) — used in cycling. They are inversely related: faster running means lower pace number, higher speed number. The pace calculator solves all three directions: pace from time and distance, finish time from pace and distance, and required distance from pace and time. Most competitors only solve one direction.

Running Pace — All Three Directions Pace (min/km) = Total minutes ÷ Distance (km) Finish time = Pace (min/km) × Distance (km) Speed (km/h) = 60 ÷ Pace (min/km as decimal) — Worked example: 25:00 for 5km — Pace: 25 ÷ 5 = 5:00 min/km Speed: 60 ÷ 5.0 = 12.0 km/h Pace in min/mile: 5:00 × 1.60934 = 8:03 min/mile ✗ Common mistake: converting 5:30 min/km as 5.30 decimal (wrong) → gives 11.54 km/h instead of correct 10.91 km/h ✓ Correct: 5:30 = 5 + (30/60) = 5.50 decimal → 60 ÷ 5.50 = 10.91 km/h The minutes:seconds to decimal conversion is the most common pace calculation error. 5:30 min/km is NOT 5.30 — it is 5.50 because 30 seconds = 0.50 minutes.

Bench Press 1RM Calculator — Epley vs Brzycki and the Barbell Weight Mistake

The Epley formula (1985) is the most widely cited 1RM estimate: 1RM = Weight × (1 + Reps/30). The Brzycki formula (1993) is more accurate for reps under 10 and is preferred in published research: 1RM = Weight × (36 ÷ (37 − Reps)). Both give virtually identical results in the 5–8 rep range, which is where they are most accurate. The bench press calculator uses both formulas and flags when rep count exceeds the reliable range.

The most common mistake — documented across gym communities and calculation forums — is forgetting to include the barbell weight. A standard Olympic barbell weighs 20kg (44 lbs). If you loaded 80kg of plates and lifted the bar, your total lifted weight is 100kg, not 80kg. Entering 80kg into the Epley formula gives 1RM = 93.3kg — 15kg below the correct answer of 108.3kg. At bodyweight comparisons this changes your strength classification entirely.

1RM Bench Press — Epley & Brzycki Formulas Epley (1985): 1RM = Weight × (1 + Reps ÷ 30) Brzycki (1993): 1RM = Weight × (36 ÷ (37 − Reps)) — Worked example: 100kg × 5 reps (including 20kg bar) — Epley: 100 × (1 + 5/30) = 100 × 1.167 = 116.7kg Brzycki: 100 × (36 ÷ 32) = 100 × 1.125 = 112.5kg ✗ Wrong: entering 80kg (plates only, no bar) → Epley gives 93.3kg — 15kg too low ✓ Correct: always include bar weight (20kg Olympic / 15kg women's bar) Epley is most accurate at 3-8 reps. Above 12 reps it overestimates by 5-8% due to muscular endurance becoming the limiting factor rather than pure strength. Brzycki diverges more sharply above 10 reps. For best accuracy, test with a weight you can lift 5-8 times.

Cycling Wattage & Watts/kg — The Classification System Competitors Miss

Most cycling calculators stop at "here is your wattage." None of the major competitors prominently show where that wattage sits in the Coggan power classification system — the standard used by TrainingPeaks, Zwift, USA Cycling, and every serious coach. Watts per kilogram (W/kg) = FTP in watts ÷ body weight in kg. An FTP of 250W at 70kg = 3.57 W/kg. That places you in the "Good" category — above the average recreational rider but well below competitive amateur racers. Understanding your W/kg category is more actionable than knowing your raw wattage because it scales for body weight and allows comparison across riders of different sizes.

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Stride length vs step length — the confusion built into most calculators: Stride length is the distance covered in one complete gait cycle (left foot strike to next left foot strike). Step length is the distance between a left foot strike and the next right foot strike — exactly half a stride. Most online "stride length calculators" actually calculate step length and label it stride. If a calculator gives your "stride length" as 0.8m, it has calculated your step length. Your actual stride length is approximately 1.6m. Typical running stride length at easy pace: 1.5 to 2.0m per full cycle. Elite marathoners at race pace: 2.0 to 2.5m. This naming confusion is consistent across Omnicalculator, Calculator.net, and most fitness apps.

Sports Performance Benchmark Tables — Pace, Strength Standards & Cycling Power

Running Pace Benchmarks — Finish Times by Level and Distance

Based on 2026 global running data. "Average" finish times from RunRepeat global report: half marathon 2:05 male / 2:22 female; marathon 4:21 male / 4:48 female. Pace figures shown in min/km.

Level5K Pace5K FinishHalf MarathonMarathon
Beginner7:30–9:0037:30–45:002:38–3:105:17–6:19
Recreational6:00–7:3030:00–37:302:07–2:384:14–5:17
Intermediate5:00–6:0025:00–30:001:46–2:073:32–4:14
Advanced4:00–5:0020:00–25:001:25–1:462:50–3:32
Elite / Sub-eliteUnder 4:00Under 20:00Under 1:25Under 2:50

Bench Press Strength Standards — 1RM as Multiple of Bodyweight

Standards compiled from ExRx, Symmetric Strength, and NSCA research on drug-tested recreational to competitive lifters with full range of motion barbell flat bench press. These are population percentile benchmarks, not pass/fail grades.

LevelMale 1RM / BWFemale 1RM / BWExample (80kg male)
BeginnerUnder 0.50×Under 0.25×Under 40kg
Novice0.50–0.75×0.25–0.40×40–60kg
Intermediate0.75–1.00×0.40–0.60×60–80kg
Advanced1.00–1.50×0.60–0.80×80–120kg
Elite1.50×+0.80×+120kg+

Cycling Wattage Classification — Coggan W/kg Power Categories

Based on Functional Threshold Power (FTP) divided by body weight. FTP is the maximum average power sustainable for approximately 60 minutes, tested with a 20-minute effort multiplied by 0.95. Used by TrainingPeaks, Zwift, USA Cycling, and every professional coaching platform.

CategoryW/kg (FTP)Typical ContextExample (70kg rider)
UntrainedUnder 2.0New to cyclingUnder 140W FTP
Fair2.00–2.99Regular recreational rider140–209W FTP
Moderate3.00–3.74Competitive club rider210–261W FTP
Good3.75–4.49Amateur racer, Cat 4–3262–314W FTP
Very Good4.50–5.24Serious amateur, Cat 2–1315–366W FTP
Excellent5.25–5.99Elite amateur / domestic pro367–419W FTP
World Class6.00+Professional peloton420W+ FTP
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Why Epley 1RM overestimates above 12 reps — and what to use instead: At high rep counts (12+), muscular endurance rather than pure strength becomes the limiting factor. The Epley formula assumes a linear relationship between reps and strength — which holds reasonably well from 1 to 10 reps but breaks down above that. At 15 reps with 70kg: Epley predicts 1RM of 105kg. Actual tested 1RM for an athlete with that rep performance is typically 90–95kg — an overestimate of 10–17%. The Mayhew formula was specifically developed for bench press at higher rep ranges and performs better above 10 reps. For programming purposes, never use a 15+ rep set to calculate training loads — test with a 5–8 rep set for accurate results. Testing actual 1RM carries higher injury risk and nervous system fatigue — limit direct max testing to every 8–12 weeks.

Which Sports Calculator to Use — A Guide for Runners, Cyclists & Strength Athletes

For Runners: Setting Race Pace and Training Zones

Start with a recent race result or time trial to establish your current fitness baseline. Use the half marathon pace calculator to set your goal pace and work backwards to your per-kilometre split. Then use the pace benchmarks table to see where that goal sits relative to the average for your distance. The most common pacing mistake in half marathon racing is going out 10–15 seconds per km too fast in the first 5km, burning glycogen faster than planned, and suffering a major slowdown after 15km. Negative splits — running the second half slightly faster than the first — produce better times for most recreational runners than even-splitting, and dramatically better than positive-splitting. Use the stride length calculator to audit your running economy: more steps per minute at the same pace (higher cadence, shorter strides) generally reduces overstriding and injury risk.

For Strength Athletes: Programming From 1RM

Once you have your estimated 1RM from the bench press calculator, the percentage table drives your training loads: 70–75% for hypertrophy work (8–12 reps), 80–85% for strength (4–6 reps), 85–90% for near-maximal work (2–4 reps). Use the bodyweight ratio to assess where you sit on the strength standards table and set a realistic next target. Moving from Intermediate to Advanced (1.0× to 1.5× bodyweight for men) typically takes 2–4 years of structured training. Going from Novice to Intermediate (0.5× to 1.0×) takes 6–18 months depending on training consistency. Strength gains are non-linear — early gains come fast, then plateau. Re-estimate your 1RM every 4–6 weeks using submaximal sets to track progress without the fatigue cost of true max testing.

For Cyclists: FTP, Training Zones and W/kg Targets

FTP is the foundation of every structured cycling training plan. Test it every 8–12 weeks using a 20-minute all-out effort on a flat or indoor trainer, then multiply by 0.95 to estimate 60-minute power. Enter your FTP into the cycling wattage calculator to see your Coggan training zones and your W/kg classification. Moving from Fair (2.0–2.99 W/kg) to Moderate (3.0–3.74 W/kg) typically requires 6–12 months of consistent Zone 2 endurance training with weekly threshold work. Moving from Good (3.75 W/kg) to Very Good (4.5 W/kg) takes 2–4 years of structured training for most athletes. Weight also matters — a 5kg weight reduction at the same FTP increases W/kg by approximately 7%, which is meaningful on climbs where power-to-weight determines speed.

What Athletes Consistently Get Wrong

Three mistakes appear across all three sports. In running: using min/km and min/mile interchangeably without converting, leading to wrong pacing targets on race day when a GPS watch uses different units than the training plan. In strength training: calculating 1RM from too many reps (12+) and getting an overinflated number, then programming weights that are too heavy and compromising technique. In cycling: confusing raw watts with W/kg and using raw wattage for comparisons with riders of different body weights — a 300W FTP is exceptional for a 55kg climber and merely good for a 90kg sprinter.

Frequently Asked Questions — Sports Calculators

Pace (min/km) = Total time in minutes ÷ Distance in km. For a 25:00 5K: 25 ÷ 5 = 5:00 min/km. To convert to min/mile: multiply by 1.60934 → 5:00 × 1.609 = 8:03 min/mile. The most common error: converting pace minutes:seconds to decimal incorrectly. 5:30 min/km is 5.50 decimal (30 seconds = 0.50 min), NOT 5.30. Using 5.30 gives a wrong speed of 11.32 km/h instead of the correct 10.91 km/h. To convert pace to speed: Speed (km/h) = 60 ÷ pace (decimal minutes). 5.50 → 60 ÷ 5.50 = 10.91 km/h.
Epley: 1RM = Weight × (1 + Reps ÷ 30). For 100kg × 5 reps: 1RM = 100 × 1.167 = 116.7kg. Always include the barbell weight — a standard Olympic bar is 20kg (44 lbs). If you lifted 80kg of plates, your total weight is 100kg. Forgetting the bar underestimates your 1RM by roughly 23kg at that weight. For best accuracy, test with 5–8 reps. Above 12 reps, Epley overestimates by 5–8% as muscular endurance rather than strength becomes the limiting factor.
Male standards (1RM ÷ bodyweight): Beginner under 0.5×, Novice 0.5–0.75×, Intermediate 0.75–1.0×, Advanced 1.0–1.5×, Elite 1.5×+. Female standards: Beginner under 0.25×, Novice 0.25–0.4×, Intermediate 0.4–0.6×, Advanced 0.6–0.8×, Elite 0.8×+. An 80kg male benching 80kg (1.0× BW) is solidly intermediate. Standards from ExRx, Symmetric Strength, and NSCA research. They are population averages for drug-tested lifters — use as waypoints, not judgements.
Coggan W/kg FTP classifications: Untrained under 2.0, Fair 2.0–2.99, Moderate 3.0–3.74, Good 3.75–4.49, Very Good 4.50–5.24, Excellent 5.25–5.99, World Class 6.0+. A 250W FTP at 70kg = 3.57 W/kg (Good category, competitive club rider). A 250W FTP at 90kg = 2.78 W/kg (Fair category). Same wattage, different categories because weight matters on climbs where watts/kg determines speed. Use W/kg, not raw watts, when comparing yourself to other cyclists.
Half marathon pace (min/km) = Goal time in minutes ÷ 21.0975. For a 2:00:00 target: 120 ÷ 21.0975 = 5:41 min/km (9:09 min/mile). Average global half marathon finish in 2026: 2:05 male, 2:22 female. Sub-2:00 requires 5:41 min/km sustained for 21.1km — the most common goal among recreational runners. The most frequent failure mode: going out 10–15 seconds/km too fast in the first 5km, then slowing significantly after 15km. Even-split or slight negative split (second half 1–2 minutes faster than first) produces better results for most runners than aggressive early pacing.
Stride length = distance covered in one complete gait cycle (left foot → right foot → left foot again). Step length = one step (left foot to right foot) — exactly half a stride. Most "stride length" calculators actually calculate step length. Stride length = Distance ÷ (Total steps ÷ 2). For 1,000m in 900 steps: stride = 1,000 ÷ 450 = 2.22m. Typical easy-run stride length: 1.5–2.0m. Elite marathoners at race pace: 2.0–2.5m. Overstriding (foot landing far ahead of hips) increases injury risk regardless of stride length number — focus on cadence (170–180 steps/min is a widely recommended target) rather than directly targeting a stride length figure.
Min/km × 1.60934 = min/mile. Min/mile ÷ 1.60934 = min/km. Common conversions: 4:00 min/km = 6:26 min/mile. 5:00 min/km = 8:03 min/mile. 6:00 min/km = 9:39 min/mile. 9:00 min/mile = 5:35 min/km. 10:00 min/mile = 6:13 min/km. Mental shortcut: 1 min/km ≈ 1 min 36 sec/mile difference. European training plans use min/km; American plans use min/mile — failing to convert causes runners to train at the wrong intensity when following international plans.
Standard 1RM training zones: 50–60% = technique and warm-up (15+ reps). 65–75% = hypertrophy (8–12 reps). 80–85% = strength (4–6 reps). 85–90% = near-maximal strength (2–4 reps). 90–95% = maximal strength (1–3 reps). Most effective strength programmes cycle through these zones in 3–6 week blocks before peaking. Limit true 1RM testing to every 8–12 weeks to avoid accumulated nervous system fatigue. Use submaximal estimates from 5–8 rep sets to track week-to-week progress.
Epley: 1RM = Weight × (1 + Reps/30). Brzycki: 1RM = Weight × (36 ÷ (37 − Reps)). At 5 reps they give nearly identical results. At 12 reps at 70kg: Epley = 98kg, Brzycki = 105kg — a 7kg gap. Brzycki is widely considered more accurate under 10 reps and is preferred in research. Epley handles higher rep ranges slightly better. For most practical training purposes (5–8 rep sets) the difference is negligible. Both formulas are estimates — individual variation in muscle fibre type means your actual 1RM may be 5–10% above or below the calculated figure.
FTP (Functional Threshold Power) = maximum average power sustainable for approximately 60 minutes. Test: 20-minute all-out effort on flat or indoor trainer, multiply result by 0.95. Coggan training zones from FTP: Zone 1 Recovery under 55%, Zone 2 Endurance 55–75%, Zone 3 Tempo 75–87%, Zone 4 Threshold 88–95%, Zone 5 VO2 Max 95–105%, Zone 6 Anaerobic 105–120%, Zone 7 Neuromuscular over 120%. Most base training is Zone 2. Threshold intervals are Zone 4. VO2 max intervals (3–8 minute efforts) are Zone 5. Re-test FTP every 8–12 weeks to keep zones accurate as fitness improves.
2026 average finish times (global, all ages): 5K — male 27:53, female 34:00. 10K — male 56:50, female 1:09. Half marathon — male 2:05, female 2:22. Marathon — male 4:21, female 4:48. "Good" for a recreational runner: sub-25:00 5K, sub-55:00 10K, sub-2:00 half marathon, sub-4:00 marathon for men. Women’s equivalents are approximately 15–20% slower based on physiological differences. What is good depends entirely on age, training history, and how long you have been running — compare yourself against last year’s times before comparing against population averages.
No. Every sports calculation runs entirely in your browser. Your weight, times, rep counts, wattage, and all other inputs never leave your device. Nothing is logged or stored. All benchmark comparisons are for self-assessment — they are population averages that do not account for age, limb length, training history, or individual physiology. Use them as reference points, not definitive standards.

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