A simple pendulum is a theoretical model consisting of a point mass suspended by a massless, unstretchable string. It swings back and forth under the influence of gravity without friction. The simple pendulum is a fundamental concept in physics, used to study periodic motion and oscillations.

The period of a simple pendulum is given by the following equation:

\[ T = 2\pi \sqrt{\frac{L}{g}} \]

Where:

- \(T\) is the period of oscillation (time for one complete swing), measured in seconds (s)
- \(L\) is the length of the pendulum, measured in meters (m)
- \(g\) is the acceleration due to gravity, typically 9.8 m/s² on Earth's surface
- \(\pi\) is the mathematical constant pi, approximately 3.14159

Let's calculate the period of a simple pendulum with a length of 1 meter:

- Identify the known values:
- Length (L) = 1 m
- Acceleration due to gravity (g) = 9.8 m/s²

- Apply the period formula: \[ T = 2\pi \sqrt{\frac{L}{g}} \]
- Substitute the known values: \[ T = 2\pi \sqrt{\frac{1 \text{ m}}{9.8 \text{ m/s²}}} \]
- Perform the calculation: \[ T = 2\pi \sqrt{0.102} \approx 2.007 \text{ s} \]

Let's visualize a simple pendulum with our calculated period:

This visual representation shows:

- The pendulum at its equilibrium position (vertical)
- The path of the pendulum's swing (green arcs)
- The length of the pendulum (1 meter)
- The period of oscillation (approximately 2.007 seconds)

We can create a free, personalized calculator just for you!

Contact us and let's bring your idea to life.

Category
Loan
Tax
Interest
Investment
Profit & Loss
Credit and Debt Planning
Algebra
Statistics
Matrix
Number
Plane Geometry
Solid Geometry
Trigonometry
Construction
Analytic Geometry
Math graphing
Color Converter
Numeral system
Unit
Energy
Temperature
Power
Frequency
Charge
Voltage
Lighting
Classic Physic
Electronic
Engineering
Chemistry
Electrical
Date
Time
Commemorative days
Observance days
Health and medicine
Family and Fun
Weather
Webmaster tools