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Q: What is the equation for the period of a simple pendulum?
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What is the period of a pedelum?

The period of oscillation of a simple pendulum displaced by a small angle is: T = (2*PI) * SquareRoot(L/g) where T is the period in seconds, L is the length of the string, and g is the gravitional field strength = 9.81 N/Kg. This equation is for a simple pendulum only. A simple pendulum is an idealised pendulum consisting of a point mass at the end of an inextensible, massless, frictionless string. You can use the simple pendulum model for any pendulum whose bob mass is much geater than the length of the string. For a physical (or real) pendulum: T = (2*PI) * SquareRoot( I/(mgr) ) where I is the moment of inertia, m is the mass of the centre of mass, g is the gravitational field strength and r is distance to the pivot from the centre of mass. This equation is for a pendulum whose mass is distributed not just at the bob, but throughout the pendulum. For example, a swinging plank of wood. If the pendulum resembles a point mass on the end of a string, then use the first equation.


Why a compound pendulum is called equivalent simple pendulum?

Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.


What will be the effect of time period of a simple pendulum if its mass is doubled and its amplitude is halved?

The PERIOD of a Simple Pendulum is affected by its LENGTH, and NOT by its Mass or the amplitude of its swing. So, in your case, the Period of the Pendulum's swing would remain UNCHANGED!


Does amplitude effect the period of a pendulum?

no it doesnt affect the period of pendulum. the formulea that we know for simple pendulum is T = 2pie root (L/g)


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

The length of the pendulum, and the acceleration due to gravity. Despite what many people believe, the mass has nothing to do with the period of a pendulum.

Related questions

What is the period of a pedelum?

The period of oscillation of a simple pendulum displaced by a small angle is: T = (2*PI) * SquareRoot(L/g) where T is the period in seconds, L is the length of the string, and g is the gravitional field strength = 9.81 N/Kg. This equation is for a simple pendulum only. A simple pendulum is an idealised pendulum consisting of a point mass at the end of an inextensible, massless, frictionless string. You can use the simple pendulum model for any pendulum whose bob mass is much geater than the length of the string. For a physical (or real) pendulum: T = (2*PI) * SquareRoot( I/(mgr) ) where I is the moment of inertia, m is the mass of the centre of mass, g is the gravitational field strength and r is distance to the pivot from the centre of mass. This equation is for a pendulum whose mass is distributed not just at the bob, but throughout the pendulum. For example, a swinging plank of wood. If the pendulum resembles a point mass on the end of a string, then use the first equation.


Why a compound pendulum is called equivalent simple pendulum?

Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.


How do the parameters of a simple pendulum affect the period of a pendulum?

The period increases as the square root of the length.


What will happen to length of a simple pendulum if its time period is doubled?

time period of simple pendulum is dirctly proportional to sqare root of length...


What would be the period of a pendulum with the length of 10 meters?

For a simple pendulum: Period = 6.3437 (rounded) seconds


What happens to the period of a simple pendulum if the pendulum length is doubled?

The period increases - by a factor of sqrt(2).


In simple pendulum if string is flexible then what is effect on time period?

multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.


What will be the effect of time period of a simple pendulum if its mass is doubled and its amplitude is halved?

The PERIOD of a Simple Pendulum is affected by its LENGTH, and NOT by its Mass or the amplitude of its swing. So, in your case, the Period of the Pendulum's swing would remain UNCHANGED!


How does the period of a pendulum difference theoretically with length for simple pendulum?

The period is directly proportional to the square root of the length.


Does amplitude effect the period of a pendulum?

no it doesnt affect the period of pendulum. the formulea that we know for simple pendulum is T = 2pie root (L/g)


What happens to time period of a simple pendulum if a heavy body is attached to it instead of bob?

The period of a simple pendulum is independent of the mass of the bob. Keep in mind that the size of the bob does affect the length of the pendulum.


Time period of simple pendulum is three seconds the same pendulum taken at the moon - what will be its new time period?

This pendulum, which is 2.24m in length, would have a period of 7.36 seconds on the moon.