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Is the period of the pendulum influenced by the point from which it is released?
Wiki User
∙ 15y ago
No
Time period, T = 2π √(l/g)
π - pi
l - lenght of the pendulum
g - acceleration due to gravity at the place
Wiki User
∙ 15y ago
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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.
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.
In measuring the period of a pendulum's motion with a stopwatch how could you best minimize the influence of reaction time?
In measuring the period of a pendulum's motion with a stopwatch, you can best minimize the influence of reaction time by measuring period at the maximum swing point, i.e. the point where the pendulum stops and then reverses. It is at that point that the pendulum is moving the slowest. You should also make your line of sight be perpendicular to the swing, in order to minimize parallax error; and you should have a mark of some kind that you can move around to the peak value, then recording the period between successive peak values.
Why time periods is equal of pendulum?
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
How Can a compound pendulum be treated as a simple pendulum?
the period T of a rigid-body compound pendulum for small angles is given byT=2π√I/mgRwhere I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2π√2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.
Whether the period of a pendulum is influenced by the point from which it is released?
Yes as the momentum is greater although now that i think about it it may only effect the speed only
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.
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.
What is the period of compound pendulum when pivot point and centre of gravity of a body is same?
it become zero
In measuring the period of a pendulum's motion with a stopwatch how could you best minimize the influence of reaction time?
In measuring the period of a pendulum's motion with a stopwatch, you can best minimize the influence of reaction time by measuring period at the maximum swing point, i.e. the point where the pendulum stops and then reverses. It is at that point that the pendulum is moving the slowest. You should also make your line of sight be perpendicular to the swing, in order to minimize parallax error; and you should have a mark of some kind that you can move around to the peak value, then recording the period between successive peak values.
How does the mass of pendulum affect its period?
well, you could simply pull it away from its centre of equilibrium (the point where the pendulum is when its stationary), and release it. Then you just count how many seconds it takes to make one complete oscillation. Note, one oscillation isn't the time for the pendulum to swing to the other side, but is the time taken for the pendulum to return to the side it was initially released from.Note: the greater the angle of the swing, the greater the speed with which the pendulum will swing, but in the absence of air resistance, the period should remain the same with the same pendulum, and because air resistance is all around us, when we move through the air, and is proportional to the speed squared, this will begin to effect the result, by slowing down the pendulum. Therefore a pendulum only obeys SHM for smaller displacements from the point of central equilibrium, or another way of putting that is for smaller angles of pendulum displacment.
Why time periods is equal of pendulum?
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
How Can a compound pendulum be treated as a simple pendulum?
the period T of a rigid-body compound pendulum for small angles is given byT=2π√I/mgRwhere I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2π√2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.
Why you cannot take time period of simple pendulum as a standard time period?
Because length of the pendulum which is equal to distance between the point of suspension and g is the gravitational acceleration and a body repeats its to and fro motion in equal interval of time that's why we cant take standard time period.
What happens to acceleration of pendulum at its lowest point of its swing?
The acceleration of a pendulum is zero at the lowest point of its swing.
How does a pendulums period vary with the length of its mass With Gravitational acceleration?
The length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.
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.
