Pendulum Period Calculator (T=2π√(L/g))
Compute the pendulum period via T = 2π√(L/g): enter length and gravity to get period and frequency (small-angle approximation).
Key points
Pendulum Period Calculator (T=2π√(L/g)): Compute the pendulum period via T = 2π√(L/g): enter length and gravity to get period and frequency (small-angle approximation). Formula: T = 2π·√(L/g). Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. T = 2π√(L/g): the period depends only on length and gravity, independent of bob mass and (small) amplitude. The formula is a small-angle approximation (error < 1% for θ < 10°); large swings have slightly longer periods requiring elliptic-integral correction.
Inputs
T = 2π·√(L/g)Calculation model (updates with parameters)
| Period T | 2.01s | T = 2π√(L/g) |
| Frequency f | 0.498Hz | f = 1/T |
| Seconds-pendulum length (T=2s) | 0.994m | L = g/π², giving a period of exactly 2 s |
Engineering notes
- T = 2π√(L/g): the period depends only on length and gravity, independent of bob mass and (small) amplitude.
- The formula is a small-angle approximation (error < 1% for θ < 10°); large swings have slightly longer periods requiring elliptic-integral correction.
- Seconds pendulum: a pendulum with a period of exactly 2 s, length L = g/π² ≈ 0.994 m on Earth.
FAQ
- What is Pendulum Period Calculator (T=2π√(L/g)) for?
- Compute the pendulum period via T = 2π√(L/g): enter length and gravity to get period and frequency (small-angle approximation).
- What is the formula for Pendulum Period Calculator (T=2π√(L/g))?
- Core formula: T = 2π·√(L/g). The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Pendulum Period Calculator (T=2π√(L/g))?
- T = 2π√(L/g): the period depends only on length and gravity, independent of bob mass and (small) amplitude. The formula is a small-angle approximation (error < 1% for θ < 10°); large swings have slightly longer periods requiring elliptic-integral correction. Seconds pendulum: a pendulum with a period of exactly 2 s, length L = g/π² ≈ 0.994 m on Earth.