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
Yes. In a vacuum, the only resistance is the friction in the suspension for the bob of the pendulum. Other than that, it should swing a long time. In air, friction with air will add to the friction in the suspension and it won't swing as well as it would in a vacuum. But it will swing for a while. A pendulum will swing in water, but the hydrodynamic drag will make it stop in a really, really short period of time. Just a couple of swings will strip the pendulum of almost all its energy. And the speed of the pendulum will be slower than in air, and it won't swing anywhere nearly as far through the bottom of its arc as it did in air.
yes it does
yes
the particles slow down. hope this helps! :)
technically it passes twice around the equator each year because the earth moves really slow.
Yes. If you take a pendulum and set it swinging it's friction of the pendulum against the air, and internal friction in the line that will eventually slow the pendulum down.
pendulum's slow down during summers because the pendulum expands and it moves faster during winters because the pendulum contracts
The pendulum will lose energy, due to friction.
No. The pendulum will slow down by drag from air molecules until the motion becomes exactly the same as random motion caused by the air molecules. But I know what you are looking for-- "Isn't there some tiny detectable motion, even if you can't see it?" Let's look at a hanging pendulum that has NEVER been swung. If we tape a tiny mirror to it and bounce a laser beam off it, we will see a spot on the wall that vibrates from thermal (and ignoring environmental) noise. The average motion will NOT be zero in any finite time. BUT the average motion of the pendulum caused by noise will ALWAYS have some positive value depending on temperature (well, okay...zero at absolute zero). When the original swinging pendulum's motion equals the motion caused by random thermal noise, then the motion is ZERO. So it's a much better question than you might have thought! Quantum Mechanically the problem is even more interesting, since there is a small but finite possibility that the pendulum will launch itself into orbit without warning, but it all depends on statistics.
slow motion is when you move slow like in movies.
A swinging pendulum follows a simple physical path that is described as simple harmonic motion. A frictionless pendulum would swing forever. Friction generates heat which radiates away energy from the system. Therefore friction will cause the pendulum to slow and stop as all the energy gets removed from the S.H.M. If you rig up a way to replace the lost energy, then the pendulum will continue to swing. This is the method used in a pendulum clock. The energy put into the wind up spring will replace the energy lost due to friction until the spring winds down. The key point is "energy is conserved" which means you cannot create or destroy it. You can only move it from one place to another or convert it into something else.
If the length of a pendulum is increased, the pendulum will take longer to complete a swing, and the clock will slow down. Shortening the pendulum will speed up the clock.
Denser, heavier air.
Highlights in Slow Motion was created in 2002.
Love in Slow Motion was created in 2006.
You Have To Hack or join a Slow Motion Lobby! :)
Air resistance.