
Estimate your electric bike range from battery, motor, weight and ride conditions
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Founder & CEO, Toolraxy
Faiq Ur Rahman is a web designer, digital product developer, and founder of Toolraxy, a growing platform of web-based calculators and utility tools. He specializes in building structured, user-friendly tools focused on health, finance, productivity, and everyday problem-solving.
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An e-bike’s real range rarely matches the sticker. Cold mornings cut capacity. A headwind eats watts. Turbo mode drains the pack twice as fast as Eco. This calculator models the physics behind those variables so you can plan a ride or compare two bikes before buying. Enter your battery specs and riding conditions. It works out how many watts the motor needs at the wheel, how much the battery has to supply, and how far the usable energy will carry you. Charging cost appears alongside the range.
Enter battery voltage and capacity in Ah. The energy figure in Wh fills automatically.
Add your motor rated power and pick an assist level.
Enter your weight and your e-bike plus gear weight.
Choose tyres from the Crr list. Fat bike tyres roll slower than city tyres.
Set speed, grade, and surface.
Add wind speed and temperature if conditions matter.
Check the range in kilometres. The hero figure updates live.
Scroll to the charging panel. Enter your electricity price to see cost per full charge and per kilometre.
The calculator runs a physics model of the ride, then divides usable battery energy by the rate of consumption.
Formula: Battery energy (Wh) = voltage × capacity
Formula: Temperature factor = 0.65 + 0.0175 × °C (clamped 0.65–1.00)
Formula: Usable energy = Wh × 0.90 × temperature factor
Formula: P_rolling = Crr × total_mass × g × cos(θ) × v
Formula: P_gravity = total_mass × g × sin(θ) × v
Formula: P_aero = 0.5 × ρ × CdA × v_air² × v
Formula: P_wheel = P_rolling + P_gravity + P_aero
Formula: Battery draw = 3 W baseline + (P_wheel × assist) ÷ 0.75
Formula: Range (km) = usable energy ÷ (battery draw ÷ speed)
Air density stays at 1.225 kg/m³ in this model, unlike the cycling wattage calculator, since elevation input isn’t offered. CdA is fixed at 0.50 for an upright e-bike position. System efficiency of 75% covers motor, controller, and battery losses.
Validation requires a valid battery voltage and capacity, positive rider and bike weights, and a positive speed. Other fields fall back to sensible defaults if left blank. The badge classifies range: under 25 km is short, under 50 km is moderate, under 90 km is standard, and 90 km or more is long.
A 78 kg rider on a 24 kg e-bike with a 48 V, 12.5 Ah battery and a 500 W motor. Assist set to Sport (55%). Tyres at Crr 0.0050. Speed 28 km/h. Grade 1.5%. Good asphalt. No wind. Temperature 15°C.
Battery energy: 48 × 12.5 = 600 Wh
Temperature factor: 0.65 + (0.0175 × 15) = 0.9125
Usable energy: 600 × 0.90 × 0.9125 = 492.8 Wh
Total system weight: 78 + 24 = 102 kg
Rolling resistance: 0.0050 × 102 × 9.8067 × 7.778 = 38.9 W
Gravity: 102 × 9.8067 × sin(1.5%) × 7.778 = 116.7 W
Aero drag: 0.5 × 1.225 × 0.50 × 7.778³ = 144.1 W
Wheel power: 38.9 + 116.7 + 144.1 = 299.7 W
Motor at wheel (55% assist): 299.7 × 0.55 = 164.8 W
Battery draw: 3 + (164.8 ÷ 0.75) = 222.7 W
Consumption: 222.7 ÷ 28 = 7.95 Wh/km
Estimated range: 492.8 ÷ 7.95 = 62 km (38.5 mi)
Time to empty: 62 ÷ 28 = 2 h 13 min
Charging from empty: 0.6 kWh. At £0.15/kWh that’s £0.09 per charge, or £0.0015 per km. Over 100 km, the electricity costs about £0.15.
The badge reads “Standard Range” because 62 km falls in the 50-to-89 km band.
A typical commuter e-bike covers 40 to 90 km on a single charge. Range depends on battery size, assist level, rider weight, terrain, and temperature. A 500 Wh battery at moderate assist on flat ground reaches about 70 km. The same battery in Turbo mode on hills drops to around 35 km.
Divide usable battery watt-hours by consumption in Wh/km. Usable energy is roughly 90% of nominal capacity, adjusted for temperature. Consumption comes from the power needed to hold your speed, scaled by assist level. The calculator runs the physics model behind those numbers.
Most e-bikes consume 6 to 15 Wh per kilometre. A light commuter in Eco mode might use 5 Wh/km. A loaded cargo bike climbing in Turbo can exceed 20 Wh/km. The figure depends on total weight, speed, terrain, assist level, and tyre choice.
Yes. Lithium batteries lose usable capacity below 20°C. At 0°C you get roughly 65% of rated capacity. Range can drop by a third on a cold morning. Storing the battery indoors and starting with a warm pack reduces the loss.
A full charge on a 500 Wh battery costs about €0.10 to €0.18 at typical European rates. That’s roughly €0.002 per kilometre. Over a year of daily commuting, electricity costs usually stay under €20.
Eco gives the longest range because the motor supplies the least power. Turbo drains the battery fastest. The sweet spot for most commuters sits in the middle. Tour or Sport mode adds meaningful help while still returning 50 to 70 km on a mid-sized battery.
Yes. Fat tyres have higher rolling resistance, usually Crr 0.0135 versus 0.0050 for city tyres. That difference costs several kilometres of range at the same speed. On soft surfaces like sand or snow, fat tyres are the right choice. On pavement, they burn energy you don’t need to spend.
Most e-bike batteries deliver 500 to 1,000 full charge cycles before capacity drops to 80%. That’s three to five years of regular use. Charging to 80% instead of 100% and avoiding deep discharges can extend life further. Store the pack at 50% for long breaks.
Yes. Lower your assist level, drop speed by 3 to 5 km/h, keep tyres inflated, and clean the drivetrain. Those changes together can add 20 to 30% to range. Losing a few kilograms of gear helps on hilly routes. Pedalling harder in Eco mode is the single biggest lever.
Manufacturer figures come from ideal conditions. Flat ground, light rider, moderate assist, warm weather, and no wind. Real rides include hills, headwinds, cold mornings, and heavier loads. Expect real range to sit 20 to 40% below the marketing number. The calculator’s defaults reflect those conditions.
The range figures here are estimates, not guarantees. Real-world range varies with battery age, cell chemistry, controller firmware, rider effort, and terrain in ways the model can’t capture. Charging cost depends on your local tariff, which may include standing charges or time-of-use rates. Don’t rely on this calculator for safety-critical trip planning. Carry a charger or plan a backup route if you’re pushing the limit. Battery specifications come from manufacturer labels, and actual capacity often sits slightly below the printed number.
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