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How do you calculate the acceleration due to gravity using a simple pendulum?

Anonymous

∙ 12y ago

Updated: 5/30/2024

The period of a simple pendulum is 2 pi (L/g)1/2. Construct a pendulum and set it into motion. Measure the period for small swings. Back-calculate g...

t = 2 pi (L/g)1/2

t2 = 4 pi2 L/g

g = 4 pi2 L/t2

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∙ 12y ago

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More answers

The acceleration due to gravity can be calculated using a simple pendulum by measuring the period of oscillation (time taken for the pendulum to complete one full swing) and the length of the pendulum. The formula to calculate acceleration due to gravity is: g = 4π²L / T², where g is acceleration due to gravity, L is the length of the pendulum, and T is the period of oscillation.

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Continue Learning about Physics

What is the formula for the angular frequency of a simple pendulum in terms of the acceleration due to gravity and the length of the pendulum?

The formula for the angular frequency () of a simple pendulum is (g / L), where g is the acceleration due to gravity and L is the length of the pendulum.

What factors determine the time period of the simple pendulum?

The time period of a simple pendulum is determined by the length of the pendulum, the acceleration due to gravity, and the angle at which the pendulum is released. The formula for the time period of a simple pendulum is T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.

What effect does the acceleration due to gravity on the moon have on a simple pendulum?

The lower acceleration due to gravity on the moon causes a simple pendulum to swing more slowly compared to Earth. The period of the pendulum is longer on the moon because gravity plays a role in determining the speed at which the pendulum swings back and forth.

What are the physical parameters that might influence the period of a simple pendulum?

The physical parameters that might influence the period of a simple pendulum are the length of the pendulum, the acceleration due to gravity, and the mass of the pendulum bob. A longer pendulum will have a longer period, while a higher acceleration due to gravity or a heavier pendulum bob will result in a shorter period.

Discussion of the measurement of gravity by a bar pendulum?

A bar pendulum is a simple pendulum with a rigid bar instead of a flexible string. Gravity can be measured using a bar pendulum by observing the period of oscillation, which relates to the acceleration due to gravity. By timing the pendulum's swing and applying the appropriate formulae, the value of gravity can be calculated. This method provides a simple and effective way to measure gravity in a laboratory setting.

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Related Questions

What is the significance of the simple pendulum?

The simple pendulum can be used to determine the acceleration due to gravity.

What is the formula for the angular frequency of a simple pendulum in terms of the acceleration due to gravity and the length of the pendulum?

The formula for the angular frequency () of a simple pendulum is (g / L), where g is the acceleration due to gravity and L is the length of the pendulum.

What factors determine the time period of the simple pendulum?

The time period of a simple pendulum is determined by the length of the pendulum, the acceleration due to gravity, and the angle at which the pendulum is released. The formula for the time period of a simple pendulum is T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.

What effect does the acceleration due to gravity on the moon have on a simple pendulum?

The lower acceleration due to gravity on the moon causes a simple pendulum to swing more slowly compared to Earth. The period of the pendulum is longer on the moon because gravity plays a role in determining the speed at which the pendulum swings back and forth.

What are the physical parameters that might influence the period of a simple pendulum?

The physical parameters that might influence the period of a simple pendulum are the length of the pendulum, the acceleration due to gravity, and the mass of the pendulum bob. A longer pendulum will have a longer period, while a higher acceleration due to gravity or a heavier pendulum bob will result in a shorter period.

Discussion of the measurement of gravity by a bar pendulum?

A bar pendulum is a simple pendulum with a rigid bar instead of a flexible string. Gravity can be measured using a bar pendulum by observing the period of oscillation, which relates to the acceleration due to gravity. By timing the pendulum's swing and applying the appropriate formulae, the value of gravity can be calculated. This method provides a simple and effective way to measure gravity in a laboratory setting.

How can I calculate the angular frequency, frequency, and period of a simple pendulum?

To calculate the angular frequency of a simple pendulum, use the formula (g / L), where g is the acceleration due to gravity and L is the length of the pendulum. The frequency can be found by using the formula f / (2), and the period can be calculated as T 1 / f.

What time required in 1 oscillation of pendulum?

The time required for one complete oscillation (or swing) of a pendulum is known as its period. The period of a simple pendulum depends on its length and the acceleration due to gravity. The formula to calculate the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (approximately 9.81 m/s^2).

What is the equation for the period of a simple pendulum?

The equation for the period (T) of a simple pendulum is T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

How does accelaration due to gravity effect the time period of a simple pendulum?

Acceleration due to gravity affects the time period of a simple pendulum by increasing the speed at which the pendulum swings back and forth. A higher acceleration due to gravity results in a shorter time period for the pendulum to complete one full swing. This relationship is described by the formula T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.

What are the factors on which the time period of simple pendulum depends?

The time period of a simple pendulum depends on the length of the string and the acceleration due to gravity. It is independent of the mass of the bob and the angle of displacement, provided the angle is small.

Why the acceleration of free fall by means of the simple pendulum methods?

The acceleration of free fall can be calculated using a simple pendulum by measuring the period of the pendulum's swing. By knowing the length of the pendulum and the time it takes to complete one full swing, the acceleration due to gravity can be calculated using the formula for the period of a pendulum. This method allows for a precise determination of the acceleration of free fall in a controlled environment.

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