How do you prove the period of a pendulum?
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How do you prove the period of a pendulum?
The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.
Would you conclude that Galileo was correct in his observation that the period of a simple pendulum depends only on the length of the pendulum Why?
3) Would you conclude that Galileo was correct in his observation that the period of a simple pendulum depends only on the length of the pendulum? Answer. For small angles of deviation, we can assume that the period depends only on the length of the pendulum.
What is simple pendulum show that motion of the pendulum?
A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion. with being the natural frequency of the motion.
What are the errors in simple pendulum experiment?
The possible sources of errors come from errors in measuring the period T using a stopwatch and errors in measuring the precise length of the string using a ruler or a meter stick. The surrounding air resists the rate of swinging of the pendulum and causes errors in the value of the period.
How do you determine the period of a simple pendulum for a given number n of oscillation?
How to analyze a pendulum in swing
- Determine the length of the pendulum.
- Decide a value for the acceleration of gravity.
- Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s .
- Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz .
Was Galileo correct about the pendulum?
Galileo claimed that the pendulum period was independent of the amplitude in Two New Sciences. Scholars debate whether he meant that the periods are exactly the same of that they differ very little. As a test of whether they are exactly the same, two pendulums with identical lead bobs were suspended 28.9 cm.
Would the period of a pendulum change on the moon?
The force of gravity is less on the moon than on the Earth. Since the force of gravity is less on the Moon, the pendulum would swing slower at the same length and angle and its frequency would be less. Hence more time period .
How is a pendulum simple harmonic motion?
The motion of a simple pendulum is very close to Simple Harmonic Motion (SHM). SHM results whenever a restoring force is proportional to the displacement, a relationship often known as Hooke’s Law when applied to springs. Where F is the restoring force, k is the spring constant, and x is the displacement.
What is the conclusion of simple pendulum?
The surprising conclusion – the pendulum traverses a longer distance in a shorter time, than in a shorter distance, and its period is shorter. There are a number of reasons why Galileo thought that the period remains constant.
How can the accuracy of a pendulum experiment be improved?
Improve the accuracy of a measurement of periodic time by: making timings by sighting the bob past a fixed reference point (called a fiducial point ) sighting the bob as it moves fastest past a reference point. The pendulum swings fastest at its lowest point and slowest at the top of each swing.
How do you find the period of a simple pendulum?
The Simple Pendulum. Revised 10/25/2000 2 F = – k x G G (1) then the motion of the pendulum will be simple harmonic motion and its period can be calculated using the equation for the period of simple harmonic motion m T = 2π k .
How do you calculate simple pendulum torque?
Time Period of Simple Pendulum Derivation. Using the equation of motion, T – mg cosθ = mv 2L. The torque tending to bring the mass to its equilibrium position, τ = mgL × sinθ = mgsinθ × L = I × α. For small angles of oscillations sin ≈ θ, Therefore, Iα = -mgLθ. α = -(mgLθ)/I.
What are the apparatus used in a simple pendulum experiment?
Apparatus The apparatus for this experiment consists of a support stand with a string clamp, a small spherical ball with a 125 cm length of light string, a meter stick, a vernier caliper, and a timer. The apparatus is shown in Figure 2. Procedure 1. The simple pendulum is composed of a small spherical ball suspended by a long, light
What happens to a simple pendulum when the temperature changes?
If the temperature of a system changes then the time period of the simple pendulum changes due to a change in length of the pendulum. A simple pendulum is placed in a non-inertial frame of reference (accelerated lift, horizontally accelerated vehicle, vehicle moving along an inclined plane).
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