Skip to main content
CalcPro

Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator

Easily calculate and compute mobile robot differential drive kinematics & wheel velocities calculator with accurate equations, live formulas, and expert guidance.

Translational robot body velocity.

Rotational turn rate about z-axis.

Distance between left and right wheel contact points.

Radius of left and right drive wheels.

Calculated Result
111.8 RPM

Right Wheel RPM

Right Wheel RPM

111.8 RPM

Right Wheel Speed Rpm

111.8

Left Wheel Speed Rpm

79.2

Right Wheel Linear Speed M Per S

0.937

Left Wheel Linear Speed M Per S

0.664

111.8 — RPM

Calculation Breakdown

  1. Applied FormulaConverts target AGV/AMR forward linear velocity and heading yaw rate into individual left and right wheel rotational speeds and instantaneous turning radius.v_R = v + \frac{\omega L}{2}, \quad v_L = v - \frac{\omega L}{2}, \quad \omega_R = \frac{v_R}{R}, \quad \omega_L = \frac{v_L}{R}

Differential Drive Kinematics Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0285684112Right Wheel RPM

What Is the Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator?

This tool computes mobile robot differential drive kinematics & wheel velocities calculator with high precision arithmetic.

How Does the Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator Work?

Converts target AGV/AMR forward linear velocity and heading yaw rate into individual left and right wheel rotational speeds and instantaneous turning radius.

Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator Formula & Variables

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

vR=v+ωL2,vL=v−ωL2,ωR=vRR,ωL=vLRv_R = v + \frac{\omega L}{2}, \quad v_L = v - \frac{\omega L}{2}, \quad \omega_R = \frac{v_R}{R}, \quad \omega_L = \frac{v_L}{R}

Converts target AGV/AMR forward linear velocity and heading yaw rate into individual left and right wheel rotational speeds and instantaneous turning radius.

How to Use the Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator

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

Step-by-Step Example Calculation

Mobile Robot Differential Drive Kinematics & Wheel Velocities Calculator Example

Input Values:

forwardLinearVelocityMPerS:0.8
yawAngularVelocityRadPerS:0.65
wheelTrackWidthMeters:0.42
driveWheelRadiusMeters:0.08
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.

\n

Related Calculators

Explore more tools and calculators in Technology Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Wien Bridge Oscillator Frequency & Barkhausen Stability Calculator

Calculates the oscillation frequency f₀, non-inverting op-amp voltage gain A_v, and verifies Barkhausen stability criterion for Wien bridge circuits.

Schmitt Trigger Inverting Comparator Hysteresis Thresholds Calculator

Calculates the upper trip point (V_TP), lower trip point (V_TN), and hysteresis voltage band V_H for inverting op-amp Schmitt trigger circuits.

Active Sallen-Key 2nd-Order Low-Pass Filter Cutoff & Q Calculator

Calculates the corner cutoff frequency f_c, quality factor Q, damping factor ζ, and response shape (Butterworth, Bessel, Chebyshev) for Sallen-Key low-pass filters.