Forward Kinematics Calculator (2R Manipulator)
This forward kinematics calculator is designed for robotics engineers and students to compute the position of a 2R manipulator's end effector. It helps in understanding and calculating how the positions of robot joints affect the final position of the arm.
Interactive Calculator
Results
Data Source and Methodology
All calculations are based on the standard principles outlined in robotic kinematics and are rigorously sourced from authoritative academic materials and scientific research. [Link to source]
The Formula Explained
X = L1 * cos(θ1) + L2 * cos(θ1 + θ2)
Y = L1 * sin(θ1) + L2 * sin(θ1 + θ2)
Glossary of Terms
- θ1, θ2: Angles at joints 1 and 2 respectively.
- L1, L2: Lengths of the links in the manipulator.
- X, Y: Cartesian coordinates of the end effector.
How It Works: An Example
For instance, with θ1 = 30°, θ2 = 45°, L1 = 10 units, and L2 = 5 units, the X position is calculated as ...
Frequently Asked Questions (FAQ)
What is forward kinematics?
Forward kinematics involves calculating the position of the end effector of a robotic arm based on the joint parameters.
Why is forward kinematics important?
It is crucial for determining the position and orientation of the robot's end effector for precise movements.