Why must the angle of a pendulum be kept small?

Why must the angle of a pendulum be kept small?

A pendulum swinging through a large angle is being pulled down by gravity for a longer part of its swing than a pendulum swinging through a small angle, so it speeds up more, covering the larger distance of its big swing in the same amount of time as the pendulum swinging through a small angle covers its shorter …

How does length affect amplitude?

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

Does amplitude depend on length?

amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path. Waves are generated by vibrating sources, their amplitude being proportional to the amplitude of the source.

Why does amplitude not affect the period of a pendulum?

Increasing the amplitude means that there is a larger distance to travel, but the restoring force also increases, which proportionally increases the acceleration. This means the mass can travel a greater distance at a greater speed. These attributes cancel each other, so amplitude has no effect on period.

Why is it advisable to use a small angle of swing during the pendulum experiment?

Explanation: The idea that a pendulum undergoes simple harmonic motion is based on the small angle approximation sin(θ)≈θ. So if the angle of the pendulum is too large, then it will not undergo simple harmonic motion.

Why does amplitude decrease with distance?

As it spreads its energy is spread over a larger area, so the energy transmitted to a particular location is reduced when the source is farther away. Therefore the amplitude of the water wave is also reduced in proportion to the distance from the source. Sound and electromagnetic waves usually spread in two dimensions.

Why does period increase with amplitude?

As the amplitude of pendulum motion increases, the period lengthens, because the restoring force −mgsinθ increases more slowly than −mgθ ( sinθ≅θ−θ3/3! for small angles).

Why the amplitude of oscillation is kept small?

If it is a pendulum, amplitude must be small because the “time period does not depend on amplitude” rule applies to pendulums only if it is exhibiting simple harmonic motion. So, when amplitude is kept small (allowing use of the #sintheta = theta# approximation), time period is independent of amplitude.

Why is it important to keep the amplitude of the swinging pendulum small?

If it is a pendulum, amplitude must be small because the “time period does not depend on amplitude” rule applies to pendulums only if it is exhibiting simple harmonic motion. So, when amplitude is kept small (allowing use of the sinθ=θ approximation), time period is independent of amplitude.

Does amplitude affect period?

The period does not depend on the Amplitude. The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.

What is the effect of large displacement angles of the pendulum bob on the experiment?

Q10. What are the effects of a large displacement on a swinging pendulum bob? SR: Experiment group. It moves faster and not oscillates but only move on a straight line.