Interactive Engineering Utilities

Robotics Engineering Calculators

Accelerate your hardware designs and mathematical models with our real-time interactive robotics engineering tools.

Ohm's Law & Resistor Power Sizing Calculator

Calculate Voltage, Current, Resistance, and Power dissipation with LED series resistor helper.

Quickly size current-limiting resistors for LEDs, determine pull-up resistor power dissipation, and verify voltage drops across motor driver logic rails.

Formula:V = I · R, P = V · I = I² · R = V² / R. Series LED Resistor: R = (V_supply - V_forward) / I_led.

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Power Systems

Robot Battery Capacity & Runtime Calculator

Estimate mobile robot operating duration and discharge depth for LiPo, LiFePO4, and 18650 packs.

Input battery capacity (mAh), nominal voltage, and the average current draw of your computing boards, motors, and sensors to compute estimated run time under realistic 85% DoD (Depth of Discharge).

Formula:Runtime (Hours) = (Capacity (mAh) / 1000 · Usable DoD Ratio) / Total System Current (Amperes).

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Mechanics & Actuators

Motor Gear Ratio, Speed & Torque Calculator

Compute final output shaft RPM, torque (Nm), and linear rover velocity from motor specs and wheel diameter.

Calculate how planetary and spur gearboxes multiply torque and reduce angular velocity for robotic arms and mobile robot drive wheels.

Formula:Output RPM = Motor RPM / Gear Ratio. Output Torque = Motor Torque · Gear Ratio · Efficiency. Linear Velocity v = (Output RPM · 2π · r_wheel) / 60.

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Kinematics

Denavit-Hartenberg (DH) 4x4 Matrix Generator

Compute 4x4 Homogeneous Transformation Matrix from (a, alpha, d, theta) parameters.

Interactive mathematical tool that takes standard DH link parameters and outputs the exact 4x4 transformation matrix and spatial rotation/translation components.

Formula:T = Rot_z(θ) · Trans_z(d) · Trans_x(a) · Rot_x(α).

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