# How do you find the gravity of a simple pendulum?

Table of Contents

## How do you find the gravity of a simple pendulum?

Calculate the time of one oscillation or the period (T) by dividing the total time by the number of oscillations you counted. Use your calculated (T) along with the exact length of the pendulum (L) in the above formula to find “g.” This is your measured value for “g.” Repeat the above procedure for 3 more cases.

## How does gravity affect a simple pendulum?

Force of gravity-This accelerates the pendulum down. The momentum built up by the acceleration of gravity causes the mass to swing in the opposite direction to a height equal to the original position.)

## How is pendulum related to gravity?

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position.

## What is the force of gravity on a pendulum?

This force is a function of the earth’s constant acceleration due to gravity, the pendulum bob’s mass and the angle between the pendulum and the vertical. Specifically, the force equals the mass times gravity times the sine of that angle – (F = mg sinθ).

## How to measure the gravitational constant with a pendulum?

A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 π L g Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g:

## How to calculate the time period of a simple pendulum?

The time period (T) of a simple pendulum for oscillations of small amplitude, is given by the relation, T = 2 π √ (L/g) Where, g = value of acceleration due to gravity and L is the effective length of the pendulum. T2 = (4π2/g) X L or T2 = KL (K= constant)

## What kind of motion is a simple pendulum?

Such oscillatory motion is called simple harmonic motion. It was Galileo who first observed that the time a pendulum takes to swing back and forth through small distances depends only on the

## How is the restoring force of a pendulum calculated?

, the arc length divided by the length of the pendulum or the radius of the circle in which the mass moves. The restoring force is then given by x F = – mg l (5) and is directly proportional to the displacement x and is in the form of Equation (1) where mg k = l