Linear Speed Calculator

Parameters

Enter your gear and motor specifications below. The results will update automatically.

Number of Teeth (Z):

Module (m):

11.522.53456

Helical Gear:

Helix Angle (β):

8.13°14°19.53°20°23°30°

Motor Speed (RPM):

RPM

Reducer Ratio (i):

Calculation Breakdown

Practical Considerations

These calculations assume ideal conditions. For real-world applications, also account for:

• System inertia
• Acceleration/deceleration profiles
• Torque and load dynamics
• System efficiency and power losses

For critical designs, consult your vendor or use specialized motion control software for a full analysis.

Related Standards

• DIN 780 / ISO 54 — Standard module series for cylindrical gears
• DIN 3960 / ISO 21771 — Involute gear geometry: definitions, parameters, formulas for reference diameter d = m · z
• DIN 3990 / ISO 6336 — Calculation of load capacity of spur and helical gears (bending, pitting, scuffing)
• DIN 3961–3964 — Tolerances for cylindrical gear teeth (quality grades, pitch, profile, lead deviations)
• ISO 1328 — Cylindrical gears: ISO system of flank tolerance classification
• DIN 3993 — Geometrical design of cylindrical internal gear pairs
• DIN 3967 — System of gear fits: backlash, tooth thickness allowances

Angle Conversion Guide

Gear catalogs often specify helix angles in degrees, minutes, seconds (DMS) format. This calculator requires decimal degrees.

Formula:

Decimal° = Degrees + (Minutes / 60) + (Seconds / 3600)

Example: 19° 31' 42"

19 + (31 / 60) + (42 / 3600)
= 19 + 0.5167 + 0.0117 ≈ 19.53°

Common Helix Angles

DMS	Decimal	Usage
8° 7' 48"	8.13°	Light-duty gearboxes
14° 0' 0"	14.00°	Standard helical gears
19° 31' 42"	19.53°	SEW / Flender gearboxes
20° 0' 0"	20.00°	Common industrial standard
23° 0' 0"	23.00°	Automotive transmissions
30° 0' 0"	30.00°	High overlap, quiet operation

Typical range for helical gears is β = 8°–30°. Higher angles increase axial thrust but improve contact ratio and reduce noise.