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Why the motion of simple pendulum is slow at equator?
A pendulum will swing slowest when closest to the equator. Why is this? The time period, T, of the swing of a pendulum is given by: T=2π√(l/g) where l is the length of the pendulum and g is acceleration due to gravity. Because the Earth is spinning, there is a bulge at the equator and the poles are slightly flattened. Hence on the equator the radius to the centre of the earth is greater than the radius at the poles. The equatorial radius is 6378.1km while the polar radius is 6356.8 km The value of g at the Earth's surface relates to the values of the Earth's radius, r, at that point using an inverse square law ie g is proportional to 1/r2 At the North Pole, g is about 9.83m/s2, while at the equator, g is smaller, at only 9.79m/s2 . So the period of a pendulum will be longer (i.e. slowest) at the equator than at the pole
Where will a pendulum vibrate faster at the north pole or at the equator why?
Many contend that because a pendulum vibrates more rapidly in the northern region than "at the equator, the earth is thereby proved not only to be a globe, but to have axial motion, and because the variation in the velocity is that of gradual increase as the north pole is approached, it is concluded that the earth's true shape is that of an oblate spheroid--the diameter through the poles being less than that through the equator. The difference was calculated by Newton to be the 235th part of the whole diameter; or that the polar was to the equatorial diameter as 680 to 692. Huygens gave the proportion as 577 to 875, or a difference of about one-third of the whole diameter. Others have given still different proportions; but recently the difference of opinion, each the result of calculation, has become so great that many have concluded that the earth is really instead of oblate, an oblongspheroid.It is argued that as the length of a pendulum vibrating
What happen to simple pendulum at lowest point of its swing?
At the lowest point of its swing, a simple pendulum's velocity is at its maximum, and its potential energy is at its minimum. The kinetic energy is at its highest since the pendulum has the highest speed.
What Is The Independent And Dependent Variables in Galileo Pendulum experiment?
Galileo's pendulum experiment showed that the period of the swing is independent of the amplitude (size) of the swing. So the independent variable is the size of the swing, and the dependent variable is the period. The experiment showed there was no dependence, for small swings anyway. The experiment led to the use of the pendulum in clocks.
How earth's rotation affects a pendulum?
Earth's rotation affects a pendulum due to the Coriolis force, which causes the pendulum's plane of oscillation to rotate clockwise in the Northern Hemisphere and counterclockwise in the Southern Hemisphere. This rotation is a result of the pendulum's inertia attempting to maintain its orientation as Earth rotates underneath it. The Coriolis effect causes the apparent deflection of the pendulum's swing.
How can you make a pendulum to swing faster?
You can make a pendulum swing faster by increasing its initial height or by shortening the length of the pendulum. Both of these actions will result in a larger potential energy that will be converted into kinetic energy, causing the pendulum to swing faster.
What can make the pendulum swing faster?
Increasing the length of the pendulum or increasing the height from which it is released can make the pendulum swing faster due to an increase in potential energy. Additionally, reducing air resistance by using a more aerodynamic design can also help the pendulum swing faster.
Why the motion of simple pendulum is slow at equator?
A pendulum will swing slowest when closest to the equator. Why is this? The time period, T, of the swing of a pendulum is given by: T=2π√(l/g) where l is the length of the pendulum and g is acceleration due to gravity. Because the Earth is spinning, there is a bulge at the equator and the poles are slightly flattened. Hence on the equator the radius to the centre of the earth is greater than the radius at the poles. The equatorial radius is 6378.1km while the polar radius is 6356.8 km The value of g at the Earth's surface relates to the values of the Earth's radius, r, at that point using an inverse square law ie g is proportional to 1/r2 At the North Pole, g is about 9.83m/s2, while at the equator, g is smaller, at only 9.79m/s2 . So the period of a pendulum will be longer (i.e. slowest) at the equator than at the pole
Should you turn the screw up or down to make a pendulum go faster on a clock?
Turning the screw up will make the pendulum go faster on a clock. The screw adjusts the length of the pendulum, and a shorter pendulum will swing faster.
What makes a pendulm swing fast or slow?
The speed of a pendulum is determined by the length of the pendulum arm and the force applied to set it in motion. A shorter pendulum will swing faster, while a longer pendulum will swing slower. Additionally, factors such as air resistance and friction can also affect the speed of a pendulum swing.
Where will a pendulum vibrate faster at the north pole or at the equator why?
Many contend that because a pendulum vibrates more rapidly in the northern region than "at the equator, the earth is thereby proved not only to be a globe, but to have axial motion, and because the variation in the velocity is that of gradual increase as the north pole is approached, it is concluded that the earth's true shape is that of an oblate spheroid--the diameter through the poles being less than that through the equator. The difference was calculated by Newton to be the 235th part of the whole diameter; or that the polar was to the equatorial diameter as 680 to 692. Huygens gave the proportion as 577 to 875, or a difference of about one-third of the whole diameter. Others have given still different proportions; but recently the difference of opinion, each the result of calculation, has become so great that many have concluded that the earth is really instead of oblate, an oblongspheroid.It is argued that as the length of a pendulum vibrating
What is the pendulum's time constant and how does it affect the motion of the pendulum?
The pendulum's time constant is the time it takes for the pendulum to complete one full swing. It is determined by the length of the pendulum and the acceleration due to gravity. A longer pendulum will have a longer time constant. The time constant affects the motion of the pendulum by determining the period of its oscillation - a longer time constant means a slower swing, while a shorter time constant means a faster swing.
How does the length of a pendulum affect the number of swings in 30 seconds?
If it is a short pendulum, then the leg or whatever you call it has a smaller distance to cover, and therefore can swing faster than a longer pendulum.
What is the name of the bottom of the pendulum swing?
The bottom of the pendulum swing is called the equilibrium position.
Why does the frequency of a pendulum move faster if you shorten the string?
Shortening the string of a pendulum decreases the distance it needs to travel, resulting in a shorter period for each swing. Since frequency is the number of swings per unit of time, shortening the pendulum causes it to move faster.
Each of two pendulums weighs the same which swings faster?
The pendulum with a shorter length will swing faster than the one with a longer length, as the period of a pendulum is directly proportional to the square root of its length. So, if both pendulums have the same weight but different lengths, the one with the shorter length will swing faster.
What kind of pendulum is playground swing?
A simple pendulum.
