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Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator

Easily calculate and compute mecanum wheel omnidirectional robot velocity kinematics calculator with accurate equations, live formulas, and expert guidance.

Longitudinal forward chassis velocity.

Strafing lateral chassis velocity.

Yaw rotational speed.

Mecanum roller wheel radius.

Half distance between left and right wheels.

Half distance between front and rear axles.

Calculated Result
238.7 RPM

Peak Wheel Motor Speed

Peak Wheel Motor Speed

238.7 RPM

Front Left Wheel Rpm

12.6

Front Right Wheel Rpm

238.7

Rear Left Wheel Rpm

138.2

Rear Right Wheel Rpm

113.1

238.7 — RPM

Calculation Breakdown

  1. Applied FormulaComputes individual wheel rotational velocities for 4-wheel omnidirectional robots equipped with 45° angled mecanum rollers to achieve holonomic 3-DOF planar motion.\omega_{FL} = \frac{1}{R}(v_x - v_y - (l_x+l_y)\omega_z)

Mecanum 4WD Kinematics Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.060119179239Peak Wheel Motor Speed

What Is the Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator?

This tool computes mecanum wheel omnidirectional robot velocity kinematics calculator with high precision arithmetic.

How Does the Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator Work?

Computes individual wheel rotational velocities for 4-wheel omnidirectional robots equipped with 45° angled mecanum rollers to achieve holonomic 3-DOF planar motion.

Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ωFL=1R(vx−vy−(lx+ly)ωz)\omega_{FL} = \frac{1}{R}(v_x - v_y - (l_x+l_y)\omega_z)

Computes individual wheel rotational velocities for 4-wheel omnidirectional robots equipped with 45° angled mecanum rollers to achieve holonomic 3-DOF planar motion.

How to Use the Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Mecanum Wheel Omnidirectional Robot Velocity Kinematics Calculator Example

Input Values:

vxMPerSec:1.0
vyMPerSec:0.5
omegaRadPerSec:0.8
wheelRadiusMeters:0.076
halfTrackWidthLxMeters:0.22
halfWheelbaseLyMeters:0.28
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required RPM.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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