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Mecanum Wheel Inverse Kinematics Velocity Calculator

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

Forward/reverse chassis speed.

Left/right sideways holonomic strafing speed.

Chassis yaw turning rate.

Outer wheel radius (e.g. 150mm wheel = 0.075 m).

Lateral distance from center of mass to wheel.

Longitudinal distance from center of mass to wheel.

Calculated Result
188 RPM

Max Wheel Speed

Max Wheel Speed

188 RPM

Maximum Wheel Rpm

188

Front Left Wheel Rad S

1.7

Front Right Wheel Rad S

19.7

Rear Left Wheel Rad S

12.3

188 — RPM

Calculation Breakdown

  1. Applied FormulaMaps 3-DOF holonomic chassis planar velocity commands (Vx forward, Vy strafe, omega yaw) to individual motor angular wheel velocities for 4-wheel Mecanum robots.\begin{bmatrix} \omega_1 \\ \omega_2 \\ \omega_3 \\ \omega_4 \end{bmatrix} = \frac{1}{r} \begin{bmatrix} 1 & -1 & -(a+b) \\ 1 & 1 & (a+b) \\ 1 & 1 & -(a+b) \\ 1 & -1 & (a+b) \end{bmatrix} \begin{bmatrix} V_x \\ V_y \\ \omega_z \end{bmatrix}

Mecanum Wheel Kinematics Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04794141188Max Wheel Speed

What Is the Mecanum Wheel Inverse Kinematics Velocity Calculator?

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

How Does the Mecanum Wheel Inverse Kinematics Velocity Calculator Work?

Maps 3-DOF holonomic chassis planar velocity commands (Vx forward, Vy strafe, omega yaw) to individual motor angular wheel velocities for 4-wheel Mecanum robots.

Mecanum Wheel Inverse Kinematics Velocity Calculator Formula & Variables

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

[ω1ω2ω3ω4]=1r[1−1−(a+b)11(a+b)11−(a+b)1−1(a+b)][VxVyωz]\begin{bmatrix} \omega_1 \\ \omega_2 \\ \omega_3 \\ \omega_4 \end{bmatrix} = \frac{1}{r} \begin{bmatrix} 1 & -1 & -(a+b) \\ 1 & 1 & (a+b) \\ 1 & 1 & -(a+b) \\ 1 & -1 & (a+b) \end{bmatrix} \begin{bmatrix} V_x \\ V_y \\ \omega_z \end{bmatrix}

Maps 3-DOF holonomic chassis planar velocity commands (Vx forward, Vy strafe, omega yaw) to individual motor angular wheel velocities for 4-wheel Mecanum robots.

How to Use the Mecanum Wheel Inverse Kinematics Velocity Calculator

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

Step-by-Step Example Calculation

Mecanum Wheel Inverse Kinematics Velocity Calculator Example

Input Values:

desiredVxMs:0.80
desiredVyMs:0.40
desiredOmegaRadS:0.50
wheelRadiusRM:0.075
trackHalfWidthAM:0.25
wheelbaseHalfLengthBM:0.30
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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