This mode is useful when you know the TSR you want and need the approximate rotor RPM at a given wind speed.
Target TSR:Ξ» 1Ξ» 2Ξ» 4Ξ» 6Ξ» 7Ξ» 8
Rotor Diameter
Rotor Speed
Wind Speed Optional
Speed Limit Check
Use this tab when you mainly want blade tip speed in m/s, km/h and mph. If wind speed is entered, TSR is also calculated.
RPM:100 RPM250 RPM500 RPM1000 RPM
π Formula Reference
Tip Speed Ratio
Ξ» = blade tip speed Γ· wind speed
Tip Speed from RPM
Vtip = Ο Γ D Γ RPM Γ· 60
TSR from RPM
Ξ» = Ο Γ D Γ RPM Γ· (60 Γ Vwind)
Required RPM
RPM = 60 Γ Ξ» Γ Vwind Γ· (Ο Γ D)
π Quick Reference
Typical TSR Guide
Savonius / drag VAWT0.8β1.5
Multi-blade water pump1β3
Darrieus / lift VAWT3β6
3-blade HAWT6β8
Wind Speed Conversion
1 m/s3.6 km/h
1 m/s2.237 mph
6 m/s21.6 km/h
8 m/s28.8 km/h
Design Meaning
Too low TSRstall/drag
Optimum TSRbest Cp
Too high TSRnoise/stress
Generator loadingchanges RPM
π Engineering Notes
TSR is a ratio, not a fixed RPMThe same turbine has different RPM at different wind speeds if it tries to maintain the same TSR.
Best TSR depends on blade designThree-blade lift rotors often run faster than drag-style VAWT rotors. Use the turbine power curve or blade design data when available.
High TSR increases tip speedHigher tip speed can improve aerodynamic operation up to a point, but it may also increase noise, blade stress and safety requirements.
A tip speed ratio calculator helps estimate the relationship between wind speed and blade tip speed. It is useful for wind turbine rotor design, RPM checks, blade selection and generator matching.
How to use this calculator
Use the first tab when you know rotor diameter, RPM and wind speed. Use the second tab when you know the target TSR and want the required RPM. Use the third tab when you only want the blade tip speed from diameter and RPM.
Why TSR matters in wind turbine design
TSR affects aerodynamic efficiency, rotor torque, blade loading, noise and generator speed. A turbine running too slowly may stall or behave like a drag rotor, while a turbine running too fast may become noisy and inefficient.
Tip speed ratio, usually written as Ξ», is blade tip speed divided by wind speed. A TSR of 7 means the blade tip is moving seven times faster than the wind.
Convert rotor RPM into blade tip speed using Vtip = Ο Γ D Γ RPM Γ· 60, then divide by wind speed. In one line: TSR = Ο Γ D Γ RPM Γ· (60 Γ wind speed).
A common design range for many three-blade horizontal-axis turbines is around 6 to 8. The actual best value depends on blade airfoil, pitch, chord, Reynolds number and control strategy.
Not always. Power coefficient usually rises only up to the bladeβs optimum TSR. Above that point, drag, noise, wake losses and blade stress can reduce useful performance.
If TSR is too low for a lift-type blade, the rotor may operate in a stalled or high-torque low-speed condition. It may turn, but it may not extract energy efficiently.
A very high TSR increases blade tip speed, which can increase noise, centrifugal force and structural stress. It can also move the blade away from its optimum angle of attack.
Use RPM = 60 Γ TSR Γ wind speed Γ· (Ο Γ rotor diameter). For example, a 3 m rotor at TSR 7 in 6 m/s wind needs about 267 RPM.
Yes. Drag-type VAWT designs such as Savonius usually have lower TSR, often near 1. Lift-type Darrieus turbines can operate at higher TSR values, commonly several times the wind speed.
Large rotors have a very big circumference. Even moderate RPM can produce high blade tip speed because the blade tip travels a long distance every revolution.
Yes, as an early estimate. TSR gives expected rotor RPM at a wind speed. Then generator voltage, torque, cut-in RPM, gearing and load matching must also be checked.