A 2-meter pendulum at sea level has a period of 2.84 seconds.
1m .g = 4(pi)2 l/T2, where l = length of the pendulum, T -period of the pendulum, g = 9.8m/s2.Here T= 2s, then l = g T2/4(pi)2 = 9.8*4/4*(3.14)2 = 1m
(assume period is time to go out and return to same point)
length = 9.82 (acceleration due to gravity) * (time / 2 * pi)2
length = 0.249 metres (approx)
A 3.12m pendulum has a period of 3.54 seconds.
The period is 4.07 seconds.
Period is 2.01 seconds.
The origins of the meter go back to at least the 18th century. At that time, there were two competing approaches to the definition of a standard unit of length. Some suggested defining the meter as the length of a pendulum having a half-period of one second; others suggested defining the meter as one ten-millionth of the length of the earth's meridian along a quadrant (one fourth the circumference of the earth). In 1791, soon after the French Revolution, the French Academy of Sciences chose the meridian definition over the pendulum definition because the force of gravity varies slightly over the surface of the earth, affecting the period of the pendulum.
The period of a 0.85 meter long pendulum is 1.79 seconds.
What you want is a pendulum with a frequency of 1/2 Hz. It swings left for 1 second,then right for 1 second, ticks once in each direction, and completes its cycle in exactly2 seconds.The length of such a pendulum technically depends on the acceleration due to gravityin the place where it's swinging. In fact, pendulum arrangements are used to measurethe local value of gravity.A good representative value for the length of the "seconds pendulum" is 0.994 meter.
In 1983 the 17th CGPM (Resolution 1) redefined the meter in terms of the speed of light in a vacuum. The value for the speed of light, 299,792,458 meters per second, had already been recommended in 1975 by the 15th CGPM, (Resolution 2). Its use in the meter's definition made the speed of light fall within the limits of uncertainty of the best existing measurements. Though this is a rather technical definition, it is the most correct. In the past, the meter or metre if you're European, has been defined as: 1) Jean Picard, Olaus Rømer and other astronomers had suggested that a unit of length be defined as the length of a pendulum with a period of 2 seconds. (A pendulum's period is the time it takes to make one complete swing back and forth). It was already known that identical pendulums set up in different places had different periods, so any such a definition would have to specify a location for the standard pendulum. 2) one ten-millionth of the earth's quadrant. Today the length of the earth's quadrant can be measured relatively easily by the use of satellites. Such measurements show that the meter is actually about 1/5 of a millimeter shorter than one ten-millionth of the earth's quadrant. The startling thing about this fact is not that the meter does not conform to its original conception, but that two 18th century surveyors should have come so close.
The theory of a simple pendulum refers to a relatively huge object hanging vertically by a string from a fixed place and moving in a back and forth motion when displaced. The movement of the huge object or pendulum bob is repetitive and regular.
If the length of the second pendulum of the earth is about 1 meter, the length of the second pendulum should be between 0.3 and 0.5 meters.
The origins of the meter go back to at least the 18th century. At that time, there were two competing approaches to the definition of a standard unit of length. Some suggested defining the meter as the length of a pendulum having a half-period of one second; others suggested defining the meter as one ten-millionth of the length of the earth's meridian along a quadrant (one fourth the circumference of the earth). In 1791, soon after the French Revolution, the French Academy of Sciences chose the meridian definition over the pendulum definition because the force of gravity varies slightly over the surface of the earth, affecting the period of the pendulum.
In the eighteenth century, there were two favoured approaches to the definition of the meter. One approach suggested that the metre be defined as the length of a 'seconds pendulum' (pendulum with a half-period of one second). Another suggestion was defining the metre as one ten-millionth of the length of the Earth's meridian along a quadrant (the distance from the Equator to the North Pole).In 1791, the French Academy of Sciences selected the latter definition (the one related to Earth's meridian) over the former (the one with the pendulum) because the force of gravity varies slightly over the surface of the Earth's surface, which affects the period of a pendulum.
The period of a 0.85 meter long pendulum is 1.79 seconds.
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 you want is a pendulum with a frequency of 1/2 Hz. It swings left for 1 second,then right for 1 second, ticks once in each direction, and completes its cycle in exactly2 seconds.The length of such a pendulum technically depends on the acceleration due to gravityin the place where it's swinging. In fact, pendulum arrangements are used to measurethe local value of gravity.A good representative value for the length of the "seconds pendulum" is 0.994 meter.
The time it takes a pendulum to complete a full swing is given by the formula: T = 2 pi sqrt(L/g) where L is the length of the pendulum, and g is acceleration due to gravity. With a little algebra we can rearrange this to get: g = (2 pi / T)^2 L So measure the length of your pendulum to get L, then measure how long it takes for a complete swing, plug it into the formula, and there's your acceleration due to gravity. You can try it here on Earth and see what you get.
I believe the original measurement for the meter (or metre) was: Distance from Equator to North Pole is 10 million meters (106 meters). There is also an earlier reference to using the length of a pendulum with a half-period of 1 second (which works out to 997 mm). Now they use the distance that light travels in a vacuum in (1/299,792,458) second as the standard for a meter.
meter length of notebook paper?
A meter is a measure of length, not area. The equator is approximately 40,000,000 m long, so one meter is 1 forty millionth of the equator.
T=2pieLsin(theta)/V. 1*1/2*1*pie=sin(theta). sin(theta)=0.1591. (theta)=sin-1(0.1591). (theta)=9.1 degree. half angle=9.15degree
In 1983 the 17th CGPM (Resolution 1) redefined the meter in terms of the speed of light in a vacuum. The value for the speed of light, 299,792,458 meters per second, had already been recommended in 1975 by the 15th CGPM, (Resolution 2). Its use in the meter's definition made the speed of light fall within the limits of uncertainty of the best existing measurements. Though this is a rather technical definition, it is the most correct. In the past, the meter or metre if you're European, has been defined as: 1) Jean Picard, Olaus Rømer and other astronomers had suggested that a unit of length be defined as the length of a pendulum with a period of 2 seconds. (A pendulum's period is the time it takes to make one complete swing back and forth). It was already known that identical pendulums set up in different places had different periods, so any such a definition would have to specify a location for the standard pendulum. 2) one ten-millionth of the earth's quadrant. Today the length of the earth's quadrant can be measured relatively easily by the use of satellites. Such measurements show that the meter is actually about 1/5 of a millimeter shorter than one ten-millionth of the earth's quadrant. The startling thing about this fact is not that the meter does not conform to its original conception, but that two 18th century surveyors should have come so close.