What will be the time period of seconds pendulum if its length is halved?

What will be the time period of seconds pendulum if its length is halved?

What will be the time period of second’s pendulum if its length is doubled? (Ans. 2.828 s) 1.

What will happen to the time period if the length of the pendulum is reduced?

When the length of a simple pendulum is decreased by 20cm, the period changes by 10% We can easily substitute this in the formula for time period and get the original length of the pendulum. Complete answer: We know that the length of a pendulum is directly related to its time taken for an oscillation.

How does length affect time period of a pendulum?

The length of the string affects the pendulum’s period such that the longer the length of the string, the longer the pendulum’s period. A pendulum with a longer string has a lower frequency, meaning it swings back and forth less times in a given amount of time than a pendulum with a shorter string length.

What happens if length of pendulum is halved?

So the time period of a pendulum is directly proportional to the square root of its length. So, if the length increases, its time period also increase. It means that it takes longer to complete one oscillation. So when its length is halved, its time period is decreased by a factor of 2 .

What is the length of simple pendulum which takes 2 seconds?

We know that the time period of the vibration of the second’s pendulum is T=2s. Hence, the length of the second’s pendulum is 99.3 cm.

What is the effect of increasing and decreasing the length of a simple pendulum?

(Mass does not affect the pendulum’s swing. 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.)

What happens to the time period of a simple pendulum if its length is increased up to four times?

2πis also a constant. Therefore we can say that time period is directly proportional to square root of length of the pendulum. Therefore as the length of the pendulum becomes four times, the time period becomes the 2 times.

What is the time period for simple pendulum?

Section Summary. A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15º. The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.

How do you find the time period of a simple pendulum?

The time period of a simple pendulum is calculated by the formula T=2π√lg, where l denotes the length of the wire of the simple pendulum and g is acceleration due to gravity at the place where the experiment is being performed.