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Physical Pendulum: Derive the equation for the period, the angular frequency and the length of a simple pendulum
84901 Physical Pendulum: Derive the equation for the period A physical pendulum is constructed from a uniform thin rod of length L suspended from one end.
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Looking at the dynamics of a pendulum
What is the period of motion of the pendulum? Please see attachment. From know dynamical parameters about the motion of a pendulum, the velocity of the pendulum bob at the equilibrium position is determined as is the period of the pendulum
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Period of a pendulum - amplitude
53906 Period of a pendulum - amplitude When the amplitude of a pendulum decreases to half its initial value. Will the period have doubled, halved or stayed the same?
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The simple pendulum: What is the acceleration of gravity at the location of the pendulum?
By a formula for the period of a simple pendulum where T is the period, L is the length and g is the acceleration of gravity. Since a simple pendulum of length 2.5 m makes 5.0 complete swings in 16 s, its period T=16/5=3.2(s). So, .
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Mass of a Pendulum
Solution:
We know the period of a pendulum is :
T=2*pi*sqrt(l/g), from the equation, we can conclude that the only factor can influnce the period of a pendulum is the length of the pendulum, not the mass.
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Simple pendulum changes length during half of one cycle.
From release point, the 12 meter pendulum executes a quarter of period T1, then as the 6 meter pendulum it executes half a period T2, then another quarter of period T1 as the longer pendulum to return to release point.
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Interrupted pendulum
We know that Equation for the period of a pendulum is , where g=9.8 is the acceleration of gravity, L is the length of a pendulum. So, all pendulums have the same period if they have the same length L.
Note.
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Pendulum oscillations
Time period T of a pendulum is given by the expression T = 2pi x Sqrt L/g ..........(1) where L = length of the pendulum, g = acceleration due to gravity. On moon value of acceleration due to gravity is 1/6 that on earth.
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Expression for period of pendulum
31635 Expression for period of pendulum In the expression for the period of a simple pendulum, we do not take into account the mass that is hanging from the string. How is it possible that the mass does not affect the period of the pendulum?
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A clock driven by a brass rod pendulum loses time; find the error in one day.
SEE ATTACHMENT #1 for a diagram showing parameters and the general equation (1), for the period, T, of a physical pendulum. Also shown is (4), the period of this pendulum, in terms of its length Lo and the constant g.
Step 2.