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What will be the time period of a pendulum if it's length is made one fourth of it?
Since the period of a simple pendulum (for short swings) in proportional to the square root of its length, then making the length one quarter of its original length would make the period one half of its original period.Periodapproximately = 2 pi square root (length/acceleration due to gravity)
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.
How does the period of a pendulum vary theoretically with angular displacement?
In the standard derivation of pendulum characteristics, at least through high schooland undergraduate Physics, an approximation is always made that assumes a smallangular displacement.With that assumption, the angular displacement doesn't appear in the formula forthe period, i.e. the period depends on the pendulum's effective length, and isindependent of the angular displacement.
What is the purpose of a pendulum?
Pendulums have been used for thousands of years as a time keeping device in various civilizations. Assuming that it is only displaced by a small angle, a pendulum wall have a period of 2pi*√(L/g) where L is the length of the pendulum and g is the acceeleration due to gravity, normally 9.81m/s². One of the cool things about pendulums is that if one is made with a length of one meter, it will have a period of 2.00607 seconds, meaning it will take just slightly more than one second to swing from one side to another.
What predictions can be made about the number of lines of symmetry in a polygon that has 6sides pf the same length?
four lines
Which length of the pendulum made the most number of swing?
The length of the pendulum that made the most number of swings is the longest one. Longer pendulums have a longer period of oscillation, allowing them to swing back and forth more times before coming to a stop.
Which variables made no difference in the number of swings?
Assuming that this question concerns a pendulum: there are infinitely many possible answers. Among these are: the name of the person swinging the pendulum, the colour of the pendulum, the day of the week on which the experiment is conducted, the mass of the pendulum, my age, etc.
What will be the time period of a pendulum if it's length is made one fourth of it?
Since the period of a simple pendulum (for short swings) in proportional to the square root of its length, then making the length one quarter of its original length would make the period one half of its original period.Periodapproximately = 2 pi square root (length/acceleration due to gravity)
How Does the angle affect the simple pendulum?
By dampening. This can be done by changing the length of the pendulum The period is 2*pi*square root of (L/g), where L is the length of the pendulum and g the acceleration due to gravity. A pendulum clock can be made faster by turning the adjustment screw on the bottom of the bob inward, making the pendulum slightly shorter.
What astronomer discovered the laws of pendulum motion?
The laws of pendulum motion were discovered by Galileo Galilei, an Italian astronomer and physicist. He made groundbreaking observations on the regularity of pendulum swings, laying the foundation for the study of dynamics.
What energy does pendulum have?
A pendulum has mechanical energy, which is made up of potential energy due to its height above the equilibrium position and kinetic energy due to its motion as it swings back and forth. This energy is constantly changing between potential and kinetic as the pendulum moves.
Does temperature effects the simple pendulum having metallic wire?
Yes, temperature can have an impact on a simple pendulum made with a metallic wire. As the temperature changes, the length of the wire can expand or contract, which can affect the period of the pendulum's swing. This change in length can cause the pendulum to either speed up or slow down.
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.
What word can be made from six swings?
The word that can be made from "six swings" is "swing." By rearranging and using the letters from "six swings," you can form this word, which captures the essence of movement associated with swings.
What is the reason of pendulum clocks become slow in summer?
Pendulum clocks can become slow in summer due to expansion of materials in warmer temperatures, which can affect the length of the pendulum and thus the timing of the clock. As the pendulum lengthens, it takes longer to complete each swing, leading to a slower overall timekeeping.
What variables affect how fast a pendulum swings?
The simple answer (what most high school teachers, for example, would say)is that the period (length of time for a swing) only depends on the length of thependulum. This is a pretty good approximation for a well-made pendulum.============================When you sit down to work out the period of a pendulum on paper, you draw a mass,hanging in gravity, from the end of a string that has no weight, with no air around it.When you turn the crank, you discover that the period of the pendulum ... the timeit takes for one complete back-and-forth swing ... depends only on the length ofthe string and the local acceleration of gravity, and that the pendulum never stops.When you build the real thing, you discover that your original analysis is a little bit 'off'.Your physical pendulum always stops after a while, and while it's still going, theperiod is slightly different from what you calculated. So you begin to do researchexperiments to figure out why.Eventually, you figure out that the weight of the string makes the effective lengthof the pendulum different from the actual length of the string, and that the pendulumloses energy and stops because it has to plow through air.What you do to reduce these influences:-- You use the lightest, strongest string you can find, and the heaviest mass thatthe string can hold, so that the mass at the end is huge compared to the mass ofthe string.-- You operate the whole pendulum in an evacuated tube ... with all the air pumped out.When you do that, you have a pendulum that's good enough, and close enoughto the theoretical calculation, that you can use it to measure the acceleration ofgravity in different places.
What causes the foucault pendulum to change direction?
It doesn't change direction; there is no force on it (perpendicular to the plane in which it swings) that would cause it to do so. It APPEARS to change direction relative to the Earth, but the Earth is a rotating frame of reference. If you watch the pendulum from a frame of reference above the Earth and the pendulum, you would see that it swings back and forth in its plane of oscillation. See the famous movie FRAMES of REFERENCE, with Professors Hume and Ivey, made in 1959, to see an excellent demonstration of this. Using a rotating frame, they show that a camera in the rotating frame appears to show the pendulum changing direction. Using a camera above the rotating frame, fixed to the floor, they show the pendulum never changes direction; only the frame rotates. . It swings back and forth in the same plane. There is no force on it to make it change
