Rotation Range Conversion Math for Tangential Rotary Tables / Rotation Stages

Linear to Angular Conversion Math for Tangential Rotary Tables / Rotation Stages

Relation between linear displacement and rotation angle.

These apply for the M-035 tangential rotary table and M-036 tangential rotary stages. In these tangent arm driven rotation stages, a linear motion provided by a precision linear actuators. The angular equivalent to the linear actuator's displacement can be calculated by the following equation:

a » arctan (x/ro)

where:
x = displacement of linear actuator [mm]

a = rotation angle [deg]

ro = distance of linear actuator contact point to center of rotation @ 0 degrees [mm]

r0 is 44 mm for M-035 rotation stages and 66 mm for M-036 rotation stages.

Example:
The rotation angle of an M-035 for a linear displacement x = 5 mm is:

a » arctan (5/44) » 6.48 degrees.

Related Products and Additional Resources

Stepper Motor Rotation Stages

Motorized worm gear driven rotary tables provide high angular resolution (the worm gear ratio directly multiplies the motor output torque and motor angle resolution) and holding torque.

Air Bearing Rotary Tables - Precision Air Bearing Rotation Stages

Rotation tables with air bearings are used when rotary motion with the highest accuracy, smoothness, and geometric performance is required.

Direct Drive Rotary Tables Precision Rotation Stages

Direct-drive rotary tables with frictionless, brushless closed-loop torque motors provide the best combination of high accuracy, high velocity and maximum service life.

Motorized Actuators

PI designs and manufactures a variety of precision linear actuators (pushers) including economical stepper-motor driven actuators, high-speed linear motor types for automation and nanometer precise piezo-motor actuators.

This is a legacy product that may have limited availability or may have been replaced. Ask a PI engineer for an equivalent new model.

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