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What will be the time period of a pendulum if it's length is made one fourth of it?
Wiki User
∙ 14y ago
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)
Wiki User
∙ 14y ago
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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.
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.
Which length of the pendulum made the most number of swings?
A shorter pendulum will make more swings per second. Or per minute. Or whatever.
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.
Sketch of graph of pendulum on moon?
The question as asked is tough to answer without some assumptions... The question implies that a comparison is being made to the action of the same pendulum on earth. With that assumption... The graph I assume has time on the x-axis and a form of pendulum oscillating measurement (such as height or back (-1) to forward (+1) ) on the y-axis. The period ( time from peak to peak on the y-axis ) of the pendulum on the moon compared to the same on earth will be 6 times longer assuming that gravity on the moon is 1/6th that of earth. The reason why the period is longer is that the acceleration (gravity) on the moon is much less. This causes the pendulum on the moon to move back and forth less quickly.
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.
Which length of the pendulum made the most number of swing?
The shorter the pendulum the more swings you get.
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.
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 do you make the period of a pendulum longer?
The period of a pendulum can be made longer by lengthening the cord or stick that connects the weight and the pivot. (Assuming that you cannot change the force of gravity.)
Which length of the pendulum made the most number of swings?
A shorter pendulum will make more swings per second. Or per minute. Or whatever.
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 changes to the bob of a simple pendulum can be made without affecting the time period?
Its mass (weight) can be made anything you want. As long as the bob weighs significantly more than the string that suspends it, and as long as air resistance can be ignored, nothing you do to the bob has any effect on the period of the pendulum's oscillation.
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 is differences between time period and simple pendulum?
A time period is a measure of a basic phenomenon : the passage of time. Time periods are independent of human beings or even of life of any form. A simple pendulum is a man-made device to make approximate measurements of time periods.
In what year was the first public clock made?
Christian Huygens, a Dutch scientist, made the first pendulum clock in 1656. It was regulated by a mechanism with a "natural" period of oscillation.
Who made the first pendulum clock?
The first pendulum clock was made by Christian Huygens, a Dutch scientist, in 1656.
