As with simple harmonic oscillators, the period What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000 cm has a period of 1.7357 s?Square [latex]T=2\pi\sqrt{\frac{L}{g}}\\[/latex] and solve for [latex]g=4\pi^{2}\frac{0.750000\text{ m}}{\left(1.7357\text{ s}\right)^{2}}\\[/latex].Use a simple pendulum to determine the acceleration due to gravity An engineer builds two simple pendula. This result is interesting because of its simplicity. Because acceleration remains the same, so does the time over which the acceleration occurs. The longer the pendulum, whether it is a string, metal rod or wire, the slower the pendulum swings. As the period of swing of a simple gravity pendulum depends on its length, the acceleration of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θo, called the amplitude. Increase the weight on the pendulum and gravity just pulls harder, evening out the extra weight.

(s) affect the period, you are also going to determine how they affect the period. Some have crucial uses, such as in clocks; some are for fun, such as a child’s swing; and some are just there, such as the sinker on a fishing line. The force of gravity pulls the weight, or bob, down as it swings.
This represents an absolute principle that will always work no matter the type of design. These principles predict how a pendulum behaves based upon its features.The forces of gravity, the mass of the pendulum, length of the arm, friction and air resistance all affect the swing rate.Pull a pendulum back and release it. The period is completely independent of other factors, such as mass. Thus, the period 't' depends on the length 'l' of the pendulum and the acceleration of gravity 'g'.

A resting pendulum has an angle of 0 degrees; pull it back halfway between resting and parallel to the ground and you have a 45-degree angle.

When this period formula is derived from the pendulum equation of motion, the dependance of the mass of the bob cancels out. The period is completely independent of other factors, such as mass.

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Describe how the motion of the pendula will differ if the bobs are both displaced by 12º.The movement of the pendula will not differ at all because the mass of the bob has no effect on the motion of a simple pendulum. One exception involves a very large angle, one beyond any reasonable swing for a clock or any other device. Period, T, of the pendulum is NOT affected by 1) the angle of release (as long as the angle of release is between 10 to 15 degrees) (if the angle of release is small, the swing will not be fast and air resistance will not be significant) 2) the mass of the pendulum ball. That is why you are supposed to release the pendulum bob at small angles like 10 to 15 degrees. A We begin by defining the displacement to be the arc length Now, if we can show that the restoring force is directly proportional to the displacement, then we have a simple harmonic oscillator.

When you write in your comment about "mass is removed", are you referring to removing the bob entirely? The period T of a pendulum is affected by the following factors.Refer to the video below for the demonstration of the above concepts.What’s the most suitable angle to displace a pendulum through?Usually any angle between 10 to 15 degree is alright. The pendula are only affected by the period (which is related to the pendulum’s length) and by the acceleration due to gravity.Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing.

(a) 2.99541 s; (b) Since the period is related to the square root of the acceleration of gravity, when the acceleration changes by 1% the period changes by (0.01)9. Refer to the video below for the demonstration of the above concepts.

The starting angle does not affect the period of a pendulum.

While it seems counter-intuitive, it is important to remember that the mass of the bob does not affect the period of a pendulum.

This phenomenon is called sympathetic vibration.

The pendulums pass motion and energy back and forth. It will take the pendulum the same amount of time to return to its starting point. In Figure 1 we see that a simple pendulum has a small-diameter bob and a string that has a very small mass but is strong enough not to stretch appreciably.

So that the speed is not too fast hence air resistance is kept to a minimum.