How does the time period of a simple pendulum depends on its length?
Table of Contents
- 1 How does the time period of a simple pendulum depends on its length?
- 2 What is the relation between length and time?
- 3 Is the length of pendulum directly proportional to time?
- 4 What is the theory of simple pendulum?
- 5 What is length of pendulum?
- 6 Is the relationship between the length of a pendulum and its period is valid at all times?
How does the time period of a simple pendulum depends on its length?
(a) Length of pendulum (l) — Time period of a simple pendulum is directly proportional to the square root of the length of the pendulum.
What is the relation between length and time?
T=2πg l
Is period and length directly proportional?
When acceleration due to gravity (g) is constant, the time period (T) of oscillation of a simple pendulum is directly proportional to the square root of its effective length (L).
Is the relationship between the length of a pendulum and its period valid at all times?
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.
Is the length of pendulum directly proportional to time?
2nd law or the law of length: When acceleration due to gravity (g) is constant, the time period (T) of oscillation of a simple pendulum is directly proportional to the square root of its effective length (L). So, T∝√L , when g is constant.
What is the theory of simple pendulum?
A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion. with being the natural frequency of the motion. …
What happens to the time period of a simple pendulum if the length of the 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.
Is length directly proportional to time?
The relation between the time period and the length is given from the formula of the time period of a pendulum. So since the acceleration due to gravity is constant, so the time period is directly proportional to the square root of the length.
What is length of pendulum?
Length of a simple pendulum: It is defined as the distance between the point of suspension to the centre of the bob and is denoted by “l”.