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
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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.