Free Rotational Oscillations Recording with Software

The Free Rotational Oscillations Recording with Software is designed to investigate free harmonic rotational oscillations using computer-assisted data acquisition and analysis. The integrated software records oscillation data in real time and provides comprehensive analysis through displacement-time, velocity-time, acceleration-time, and phase diagrams. The apparatus also enables the study of damping, resonance, nonlinear oscillations, and chaotic motion, making it ideal for advanced physics laboratory experiments. Manufactured by Atico Export India.

Principle

The experiment is based on the rotational oscillation of a torsion pendulum. During free oscillations, the angular displacement decreases exponentially due to damping while maintaining harmonic motion. The software continuously records the motion through a rotary motion sensor and allows analysis of displacement, velocity, acceleration, and phase relationships. By varying the damping level and modifying the restoring torque, the apparatus can also demonstrate the transition from harmonic motion to nonlinear and chaotic oscillations.

Objectives

• Study free harmonic rotational oscillations.
• Investigate the relationship between initial angular displacement and initial angular velocity.
• Determine the natural frequency of the torsion pendulum.
• Measure the damping constant and identify the aperiodic limiting condition.
• Analyze displacement-time, velocity-time, acceleration-time, and phase diagrams.
• Study nonlinear oscillations and chaotic motion.
• Compare experimental observations with theoretical predictions.

Additional Requirement

Computer :

• Windows XP / Vista / 7 / 8 / 10 (x86 or x64)
• Required for data acquisition and analysis.
  System Components

Torsion Pendulum :

• Quantity: 1

DC Power Supply :

• Output: 0 to 16 V, 0 to 5 A
• Quantity: 1

Data Acquisition Interface :

• Quantity: 1

Data Analysis Software :

• Quantity: 1

Rotary Motion Sensor :

• Quantity: 1

Connecting Leads :

• Current Rating: 19 A
• Length: 100 cm
• Red/Blue Pair
• Quantity: 1

Software-Based Data Acquisition :

• Records experimental data in real time.
• Enables automatic data acquisition and analysis.

Comprehensive Graphical Analysis :

• Displays displacement-time graphs.
• Displays velocity-time graphs.
• Displays acceleration-time graphs.
• Displays phase diagrams for detailed motion analysis.

Rotary Motion Measurement :

• High-precision rotary motion sensor provides accurate angular measurements.

Adjustable Damping :

• Variable damping allows investigation of underdamped, critically damped, and overdamped motion.

Chaotic Motion Demonstration :

• Additional loading arrangement enables the study of nonlinear and chaotic oscillations.

Educational Design :

• Ideal for comparing theoretical and experimental results in rotational dynamics.