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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.
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.
How Does the angle affect the simple pendulum?
The angle at which the simple pendulum is released affects the period of its oscillation. A larger initial angle will produce a longer period as the pendulum swings back and forth. This is because the gravitational force is resolved into two components, one along the path of motion and one perpendicular to it.
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.
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.
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 factors that affect the speed of a pendulum swing include the length of the pendulum, the angle at which it is released, and the force of gravity acting on it. In general, a longer pendulum will swing more slowly, while a shorter pendulum will swing faster. Additionally, increasing the angle of release will cause the pendulum to swing faster.
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 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.
