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Show how the period of oscillation relates to the velocity of the pendulum bob.?
Wiki User
∙ 11y ago
Technically, in an ideal experiment, where there is lack of any opposing forces like air drag and friction, the period of oscillation of a pendulum only depends on the length of string (i.e, for r<<L). However, in presence of air drag, a force opposite to the velocity of the bob reduces the energy of oscillations, so it also
changes the period of oscillations.
acc to a law similar to stoke's law
Fv = -bv
where 'b' is a constant and depends on medium and the bob. So, the force acting on bob is the resultant of -w2x and -bv. this is how the period of oscillation depends on the velocity of pendulum bob.
Wiki User
∙ 11y ago
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A simple pendulum of length 20cm took 120 seconds to complete 40 oscillation find its time period?
The period of a simple pendulum of length 20cm took 120 seconds to complete 40 oscillation is 0.9.
If a pendulum takes 32 seconds to complete 20 oscillations. Calculate the time period?
Time period per oscillation=32/ 20=1.6 sec per oscillation.
Will a pendulum time period increase or decrease when taken to the top of the mountain?
The time period of a pendulum will increase when taken to the top of a mountain. This is because the acceleration due to gravity decreases at higher altitudes, resulting in a longer time for the pendulum to complete each oscillation.
How does length and initial angle affect the period in a simple pendulum?
The longer the pendulum is, the greater the period of each swing. If you increase the length four times, you will double the period. It is hard to notice, but the period of a pendulum does depend on the angle of oscillation. For small angles, the period is constant and depends only on the length of the pendulum. As the angle of oscillation (amplitude) is increased, additional factors of a Taylor approximation become important. (T=2*pi*sqrt(L/g)[1+theta^2/16+...] and the period increases. (see hyper physics: http://hyperphysics.phy-astr.gsu.edu/hbase/pendl.html) Interestingly, if the pendulum is supported by a very light wire then the mass of the object at the end of the pendulum does not affect the period. Obviously, the greater the mass, the less any air friction or friction at the pivot will slow the pendulum. Also interestingly, the pendulum period is dependant on the force of gravity on the object (g). One must not assume that g is constant for all places on Earth.
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 effect does the mass has on the period of oscillation of the pendulum?
The mass of a pendulum does not affect its period of oscillation. The period of a pendulum is determined by its length and the acceleration due to gravity. This means that pendulums with different masses but the same length will have the same period of oscillation.
How do you reduce the frequency of oscillation of a simple pendulum?
You can reduce the frequency of oscillation of a simple pendulum by increasing the length of the pendulum. This will increase the period of the pendulum, resulting in a lower frequency. Alternatively, you can decrease the mass of the pendulum bob, which will also reduce the frequency of oscillation.
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 center of oscillation?
The center of oscillation is the point along a pendulum where all its mass can be concentrated without affecting its period of oscillation. It is the point at which an equivalent simple pendulum would have the same period as the actual compound pendulum.
What does lengh represent in an oscillation of a pendulum?
In the context of a pendulum, the length represents the distance from the point of suspension to the center of mass of the pendulum. The length of the pendulum affects the period of its oscillation, with longer pendulums having a longer period and shorter pendulums having a shorter period.
What are two factors that alter the oscillation period of a pendulum?
The length of the pendulum and the acceleration due to gravity are two factors that can alter the oscillation period of a pendulum. A longer pendulum will have a longer period, while a stronger gravitational force will result in a shorter period.
What are center of suspension and center of oscillation of a compound pendulum?
The center of suspension of a compound pendulum is the fixed point about which the pendulum rotates, typically where it is hinged. The center of oscillation is the theoretical point at which the entire mass of the pendulum could be concentrated to produce the same period of oscillation as the actual pendulum.
What are the hypothesis from pendulum experiment?
In a pendulum experiment, the main hypotheses usually involve testing the relationship between the length of the pendulum and its period of oscillation, or how the amplitude of the swing affects the period. For example, a hypothesis could be that increasing the length of the pendulum will result in a longer period of oscillation.
Pendulum oscillation period is equal to 0.5 s What is the pendulum oscillation frequency?
T=1/f .5=1/f f=2
What happens to the period of oscillation when the mass of pendulum bob is increased?
The period of oscillation increases as the mass of the pendulum bob is increased. This is because the force required to move the heavier bob is greater, leading to a slower oscillation. The period is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of gravitational acceleration.
What happens to the period of a pendulum if you increase its mass?
Increasing the mass of a pendulum would not change the period of its oscillation. The period of a pendulum only depends on the length of the pendulum and the acceleration due to gravity, but not the mass of the pendulum bob.
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.
