1. What is a Simple Pendulum?

A simple pendulum consists of a weight suspended from a pivot so that it can swing freely. The period is the time for one complete cycle of oscillation.

2. How Does the Calculator Work?

The calculator uses the period formula:

Where:

• \( T \) — Period (seconds)
• \( time \) — Total measurement time (seconds)
• \( cycles \) — Number of complete oscillations

Explanation: The period is calculated by dividing the total time by the number of complete back-and-forth swings.

3. Importance of Period Calculation

Details: Knowing the period helps in understanding pendulum motion, verifying physical laws, and calibrating timekeeping devices.

4. Using the Calculator

Tips: Enter the total measurement time in seconds and the number of complete cycles. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What affects a pendulum's period?
A: For small angles, period depends mainly on length and gravity. Mass and amplitude don't affect it significantly.

Q2: What are typical pendulum periods?
A: A 1-meter pendulum on Earth has about 2-second period. Shorter pendulums swing faster.

Q3: How accurate is this calculation?
A: Very accurate for small angles (<15°). For larger angles, more complex formulas are needed.

Q4: Why measure multiple cycles?
A: Measuring over more cycles reduces timing errors and gives more accurate period values.

Q5: Can this be used for any pendulum?
A: This works for simple pendulums. Physical pendulums (real objects) require different formulas.