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Why is a pendulum faster with a shorter string?

Why is a pendulum faster with a shorter string?

From the time period formula, time period of the pendulum is directly proportional to the square root the length of the pendulum. When the length of the string is shorter the time period of the pendulum decreases.

What happens to time period t if the length of a pendulum is increased?

The period of oscillation depends upon the length of the pendulum. If the length of the pendulum is increased, the time period also increases.

Does time period depend on length?

The time period of a pendulum is only dependent on the two factors, which are the length and the acceleration due to gravity. The square of the time period of a pendulum is directly proportional to the length where the length is the distance between the point of suspension and the center of mass of the body.

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Why does a longer pendulum swing faster?

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 …

Why does the length of string affect a pendulum?

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.)

How does the length of a pendulum affect the period of oscillation?

How does the length of a pendulum’s string affect its period? (Answer: A pendulum with a longer string has a longer period, meaning it takes a longer time to complete one back and forth cycle when compared with a pendulum with a shorter string.

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Does the period of a pendulum depend on the length of the string explain?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

What is the effect on the period of a pendulum If you decrease its length by 5.00 \%?

(a) What is the effect on the period of a pendulum if you double its length? (b) What is the effect on the period of a pendulum if you decrease its length by 5.00\%? The period decreases by 2.5\% when decreasing the length by 5\%.