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Why does the time period of pendulum does not depend on the mass of the bob?
Wiki User
∙ 14y ago
T=2pi sqrt(m/k) here,
m=mass of the body which is oscillating
k=force or spring constant
k=m.w2 after substituting value of k in the first equation we get,
T=2pi/w
and hence we can see in any case it does not depend on the mass of the body as it cancels down when we put the value of k in the equation.
Wiki User
∙ 14y ago
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What are the factors on which the time period of simple pendulum does not depend?
The time of a period doesn't depend on the mass of the Bob(that'll be a mass spring system) It also doesn't depend on Friction..
What will the time period of simole pendulum in free space?
Unless it's in a ship that is accelerating, a simole pendulum will not swing in free space. If it's in a ship that's accelerating, its period will depend on the magnitude of the acceleration.
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.
Why time period of pendulum depends on length not other factors?
It does depend on the force of gravity where the pendulum is located. There are other factors that it depends on but their contribution, in normal circumstances, is negligible enough to ignore.
What controls the period of a pendulum?
For a simple pendulum, consisting of a heavy mass suspended by a string with virtually no mass, and a small angle of oscillation, only the length of the pendulum and the force of gravity affect its period. t = 2*pi*sqrt(l/g) where t = time, l = length and g = acceleration due to gravity.
What are the factors on which the time period of simple pendulum does not depend?
The time of a period doesn't depend on the mass of the Bob(that'll be a mass spring system) It also doesn't depend on Friction..
What happens when you double the mass of a pendulum?
Doubling the mass of a pendulum will not affect the time period of its oscillation. The time period of a pendulum depends on the length of the pendulum and the acceleration due to gravity, but not on the mass of the pendulum bob.
Why time period of simple pendulum is independent of mass?
The time period of a simple pendulum depends only on the length of the pendulum and the acceleration due to gravity, not the mass of the pendulum bob. This is because the mass cancels out in the equation for the time period, leaving only the factors that affect the motion of the pendulum.
What happen to the time period of pendulum if the mass of bob is changed?
The period of a pendulum is not affected by the mass of the bob. The period is determined by the length of the pendulum and the acceleration due to gravity. Changing the mass of the bob will not alter the time period of the pendulum's swing.
Why does time period of simple pendulum is independent from mass?
The time period of a simple pendulum is independent of mass because the formula for the time period only depends on the length of the pendulum and the acceleration due to gravity. The mass of the pendulum bob does not affect the time it takes for one complete swing because the force due to gravity acts equally on all masses. This makes the mass cancel out in the equation, resulting in a time period that is mass-independent.
Is the pendulum mass has effect on periodic time?
Yes, the mass of the pendulum can affect the period of its swing. A heavier mass may have a longer period compared to a lighter mass due to changes in the pendulum's inertia and the force required to move it.
What will be the effect of time period of a simple pendulum if its mass is doubled and its amplitude is halved?
The time period of a simple pendulum is not affected by changes in amplitude. However, if the mass is doubled, the time period will increase because it is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity.
Mass and pendulum oscillation?
Mass oscillation time period = 2 pi sq rt. (m/k) Pendulum oscillation time period = 2 pi sq rt. (l/g)
What is effect on time period of simple pendulum at centre of earth?
The time period of a simple pendulum at the center of the Earth would be constant and not depend on the length of the pendulum. This is because acceleration due to gravity is zero at the center of the Earth, making the time period independent of the length of the pendulum.
Does mass effect the period of a pendulum?
Yes, the period of a pendulum is not affected by the mass of the pendulum itself. The period is primarily determined by the length of the pendulum and the gravitational acceleration at the location where the pendulum is located.
What are the factors on which the time period of simple pendulum depends?
The time period of a simple pendulum depends on the length of the string and the acceleration due to gravity. It is independent of the mass of the bob and the angle of displacement, provided the angle is small.
How do the mass of a pendulum affect the numbers of swings?
The mass of a pendulum does not affect the number of swings it makes in a given time period. The mass of the pendulum affects the period of its swing (the time it takes to complete one full cycle). The length of the pendulum and the force of gravity are the main factors that determine the number of swings it makes per unit time.
