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Why does time period of simple pendulum is independent from mass?
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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!
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 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.
How much does a pendulum weigh?
A pendulum is a weight suspended from a pivot so it can swing freely. The period of swing of a simple pendulum depends on its length (how far the mass is from the pivot) and is is independent of the mass of the weight. This means that you do not need to worry about the weight except to say that it must be heavy enough not to be disturbed by air currents.
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.
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.
What is the relation between the mass and period of the pendulum?
The period is independent of the mass.
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!
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 period of a pendulum difference theoretically with angular displacement and mass of ball for simple pendulum?
According to the mathematics and physics of the simple pendulum hung on a massless string, neither the mass of the bob nor the angular displacement at the limits of its swing has any influence on the pendulum's period.
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.
Is the period of a pendulum independent of mass?
Yes, mathematically. But it's really only true if the string has no mass at all.
How much does a pendulum weigh?
A pendulum is a weight suspended from a pivot so it can swing freely. The period of swing of a simple pendulum depends on its length (how far the mass is from the pivot) and is is independent of the mass of the weight. This means that you do not need to worry about the weight except to say that it must be heavy enough not to be disturbed by air currents.
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 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.
What will happern to the pendulum if both the mass and length a increased?
Period of pendulum depends only on its length that too directly and acceleration due to gravity at that place, but inversely But it is independent of the mass of the bob So as length increases its period increases.
Does the period of simple pendulum depend on the mass of the bob?
Not in the theoretical world, in the practical world: just a very little. The period is determined primarily by the length of the pendulum. If the rod is not a very small fraction of the mass of the bob then the mass center of the rod will have to be taken into account when calculating the "length" of the pendulum.
