Questions

What is the error in the simple pendulum experiment?

What is the error in the simple pendulum experiment?

The sources of errors in a simple pendulum experiment are the following: human errors comes in when measuring the period using a stopwatch. The reaction time of the observer plays a significant error when starting the stopwatch and when stopping it. This error can be minimized by repeating the experiment many times.

How does angular displacement affect the period of a pendulum?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. With the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude. A pendulum will have the same period regardless of its initial angle.

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What is the maximum displacement of a simple pendulum?

The maximum displacement of the bob of a pendulum from its mean position is called its frequency.

Which of the following changes would increase the frequency of a pendulum?

Which of the following changes would increase a pendulum’s frequency? Explanation: The only two factors that affect a pendulum’s frequency are the acceleration due to gravity (g) and the length of the pendulum’s string (L).

Which of the following changes will cause the period of a pendulum to increase?

The correct answer is: A. The period of a pendulum is inversely related to the acceleration due to gravity. Therefore, if the period of the given pendulum increases, it must be due to a decrease in the force of gravity. 5. A simple pendulum swings with a period of 1.5 s.

How can you increase the accuracy of a pendulum experiment?

Improve the accuracy of a measurement of periodic time by:

  1. making timings by sighting the bob past a fixed reference point (called a fiducial point )
  2. 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.
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What is the maximum angular displacement of the pendulum?

One can show that for large angles of displacement, the period of the pendulum is given by the following equation, in which θmax is the maximum angular displacement of the pendulum: T = 2π√(l/g)[1 + (1/22) · sin2(θmax/2) + (1/22) · (32/42) · sin4(θmax/2) + · · ·].

How do you solve a simple pendulum?

How to analyze a pendulum in swing

  1. Determine the length of the pendulum.
  2. Decide a value for the acceleration of gravity.
  3. Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s .
  4. Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz .

How do you find maximum displacement?

Maximum displacement is the amplitude A. The angular frequency ω , period T, and frequency f of a simple harmonic oscillator are given by ω=√km ω = k m , T=2π√mk,andf=12π√km T = 2 π m k , and f = 1 2 π k m , where m is the mass of the system and k is the force constant.

What is Max displacement?

amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.