With the help of our free Simple Pendulum Calculator, you can get the time period or length of the pendulum in a blink of an eye. All you need is to do is give acceleration due to gravity and pendulum length in the below input fields and press the calculate button to make your calculations easier and faster.
Simple Pendulum Calculator: Finding the simple pendulum time period and frequency is simple with this Simple Pendulum Calculator tool. From this page, you can learn the steps to calculate the period, frequency of a pendulum and formulas. Go through the further sections to get familiar with the simple pendulum topic. Know more about the concept and solved examples in the following sections.
The simple instructions to calculate the simple pendulum time period and frequency are mentioned here.
A simple pendulum is defined as the mass that is suspended from a rod. A straight vertical line passing through the fixed position is the pendulum mean position.
The important points about the simple pendulum are listed here:
The formulas to compute the simple pendulum period and frequency are provided below:
T = 2π × √(L/g)
f = 1/T
T is the time period of the pendulum
f is the frequency of the pendulum
L is the length of the pendulum
g is the acceleration due to gravity.
Question: If the length of the simple pendulum is 15 m, find the time period and frequency of pendulum?
The length of simple pendulum L = 20 cm
Acceleration due to gravity g = 9.8 m/s
Time Period T = 2π × √(L/g)
T = 2π × √(15/9.8)
= 2π × √(15/9.8)
= 2π × √(1.5306)
= 2 x 3.14 x 1.23
frequency f = 1/T
f = 1/7.769
Therefore, the ime period and frequency of simple pendulum is 7.769 seconds and 0.128 oscillations per second.
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1. What are the applications of the simple pendulum?
The real-time applications of a simple pendulum are clock, wrecking ball, ballistic pendulum, bowling ball, Foucault's pendulum, and metronome.
2. What are the three laws of the simple pendulum?
The following are the three laws of a pendulum.
3. What is the formula to compute the length of the pendulum?
The formula to find the length of the simple pendulum is L = (T²g)/(4π²).
4. What is the oscillation in the pendulum?
Oscillation means a pendulum that moves from one extreme position to the other extreme position and returns to the starting position. The time to complete one oscillation is called the time period.