physics mechanics

Simple Pendulum Period & Frequency Calculator

Simple Harmonic Motion (SHM) and oscillations tool. Computes exact duration of a full cycle based on string length and gravitational acceleration.

Input Parameters

String Length (L in meters)

Local Gravity (g)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Period T = 2 * π * sqrt(L / g). Frequency f = 1 / T. Assumes small angle approximation (θ < 15°).

In-Depth Guide & Mathematical Methodology

🕰️ Simple Pendulum SHM Formula

Period: T = 2π × √(L / g)

Frequency: f = 1 / T

1 Meter String on Earth: Yields a period of approximately 2.006 seconds.

Frequently Asked Questions (FAQ)

What is the Simple Pendulum Period & Frequency Calculator and how does it work?

Simple Harmonic Motion (SHM) and oscillations tool. Computes exact duration of a full cycle based on string length and gravitational acceleration.

How do I use this Simple Pendulum Period & Frequency Calculator?

Enter String Length ($L$ in meters). Select Local Gravity ($g$, Standard Earth = 9.81 m/s²). View Oscillation Period ($T$ in seconds) and Frequency ($f$ in Hz).

What mathematical formula is used in this calculation?

Period T = 2 * π * sqrt(L / g). Frequency f = 1 / T. Assumes small angle approximation (θ < 15°).

Is the Simple Pendulum Period & Frequency Calculator on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

More Free Calculators in PHYSICS

Centripetal Force & Acceleration Calculator (F_c = m v² / r)

Calculate centripetal force ($F_c = \frac{m v^2}{r}$) and centripetal acceleration in circular motion and curved paths.

Density Calculator (Mass & Volume)

Calculate density of any solid object or fluid ($\rho = m / V$) in $g/cm^3$ or $kg/m^3$ from mass and volume.

Dew Point Calculator (Air Temp & Relative Humidity)

Calculate dew point temperature at which airborne water vapor condenses onto cool surfaces.

Free Fall & Impact Velocity Calculator

Calculate final impact velocity ($v = \sqrt{2 g h}$) and free fall time from an initial height.

Friction Force Calculator (Static & Kinetic F_f = µ N)

Calculate friction force ($F_f = \mu \cdot N$) from coefficient of friction and normal force.

Heat Index Calculator (Apparent Temperature & Humidity)

Calculate perceived Heat Index temperature combining air temperature and relative humidity.