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Q: What is the period of compound pendulum when pivot point and centre of gravity of a body is same?
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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 is effect on time period of simple pendulum at centre of earth?

At the center of the Earth there would be no effective gravity; a pendulum wouldn't work as a pendulum.


Time period of a pendulum?

For a heavy weight on the end of a weightless string ("a simple pendulum") the period is 2.pi.squareroot(L/g) where L is the length of the string and g is the acceleration due to gravity. If the weight of the pendulum is not wholly at the end (as in a heavy rod instead of a light string) then replace L by k2/L where L is (as before) the distance to the centre of gravity below the suspension point, and k is the radius of gyration of the whole suspended part, inculding the arm of the pendulum as well as any weights ("compound pendulum").


How does accelaration due to gravity effect the time period of a simple pendulum?

Normally the acceleration of gravity is not a factor in the period of a simple pendulum because it does not change on Earth, but if it were to be put on another celestial body the period would change. As gravity increases the period is shorter and as the gravity is less the period is longer.


What do the length of the cord and gravity determine for a pendulum?

They determine the length of time of the pendulum's swing ... its 'period'.

Related questions

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 does the bob affects the period of a pendulum?

The period of a pendulum is totally un-affected by the mass of the bob.The time period of pendulum is given by the eqn.T=2*PIE*(l/g)1/2 ;l is the length of pendulum;g is the acceleration due to gravity.'l' is the length from the centre of suspension to the centre of gravity the bob.ie.the length of the pendulum depends on the centre of gravity of the bob,and hence the distribution of mass of the bob.


What is effect on time period of simple pendulum at centre of earth?

At the center of the Earth there would be no effective gravity; a pendulum wouldn't work as a pendulum.


Time period of a pendulum?

For a heavy weight on the end of a weightless string ("a simple pendulum") the period is 2.pi.squareroot(L/g) where L is the length of the string and g is the acceleration due to gravity. If the weight of the pendulum is not wholly at the end (as in a heavy rod instead of a light string) then replace L by k2/L where L is (as before) the distance to the centre of gravity below the suspension point, and k is the radius of gyration of the whole suspended part, inculding the arm of the pendulum as well as any weights ("compound pendulum").


What factors affect the period of a pendulum?

In a simple pendulum, with its entire mass concentrated at the end of a string, the period depends on the distance of the mass from the pivot point. A physical pendulum's period is affected by the distance of the centre-of-gravity of the pendulum arm to the pivot point, its mass and its moment of inertia about the pivot point. In real life the pendulum period can also be affected by air resistance, temperature changes etc.


What are the effects of acceleration due to gravity on the time period of a pendulum?

The period of a pendulum (in seconds) is 2(pi)√(L/g), where L is the length and g is the acceleration due to gravity. As acceleration due to gravity increases, the period decreases, so the smaller the acceleration due to gravity, the longer the period of the pendulum.


Does the length of pendulum affect the period of vibration?

Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.


Cloud the pendulum be changed to increase the period of the pendulum?

Yes. You can increase the period by moving the pendulum to a location where the gravitational force is weaker.Alternatively, you can increase the effective length of the pendulum. The pendulum may be of fixed length, but you can still increase its effective length by adding mass to any point below its centre of gravity.Yes. You can increase the period by moving the pendulum to a location where the gravitational force is weaker.Alternatively, you can increase the effective length of the pendulum. The pendulum may be of fixed length, but you can still increase its effective length by adding mass to any point below its centre of gravity.Yes. You can increase the period by moving the pendulum to a location where the gravitational force is weaker.Alternatively, you can increase the effective length of the pendulum. The pendulum may be of fixed length, but you can still increase its effective length by adding mass to any point below its centre of gravity.Yes. You can increase the period by moving the pendulum to a location where the gravitational force is weaker.Alternatively, you can increase the effective length of the pendulum. The pendulum may be of fixed length, but you can still increase its effective length by adding mass to any point below its centre of gravity.


How does accelaration due to gravity effect the time period of a simple pendulum?

Normally the acceleration of gravity is not a factor in the period of a simple pendulum because it does not change on Earth, but if it were to be put on another celestial body the period would change. As gravity increases the period is shorter and as the gravity is less the period is longer.


What do the length of the cord and gravity determine for a pendulum?

They determine the length of time of the pendulum's swing ... its 'period'.


Does the weight effect the period of a pendulum?

It doesn't. Period depends on the length of the pendulum and the acceleration of gravity. Adding weight doesn't change the period at all.


What is the difference in period for a pendulum on earth and a pendulum on moon?

The period of a simple pendulum swinging at a small angle is approximately 2*pi*Sqrt(L/g), where L is the length of the pendulum, and g is acceleration due to gravity. Since gravity on the moon is approximately 1/6 of Earth's gravity, the period of a pendulum on the moon with the same length will be approximately 2.45 times of the same pendulum on the Earth (that's square root of 6).