When you put a string on a hook, and hold it on an angle
ie: .
..../
.../
../
and then u want to know the angle in which you let go:
....
../|
./ |
/_|
^---------this is the angle in which you choose the amplitude-this one is around 10 degrees
(AND IGNORE THE PERIODS ON THE LEFT)
The equation for calculating the velocity amplitude in a given system is V A, where V is the velocity amplitude, A is the amplitude of the oscillation, and is the angular frequency of the system.
As long as angular amplitude is kept small, the period does not depend on the angular amplitude of the oscillation. It is simply dependent on the weight. It should be noted that to some extent period actually does depend on the angular amplitude and if it gets too large, the effect will become noticeable.
Amplitude in a simple pendulum is measured as the maximum angular displacement from the vertical position. It can be measured using a protractor or by observing the maximum angle the pendulum makes with the vertical when in motion.
The equation for y(x, t) in terms of the amplitude a, angular frequency k, and the variables x and t is y(x, t) acos(kx - t).
To find the velocity of a mass at half the amplitude of its oscillation, you can use the formula for the velocity in simple harmonic motion: v = ω√(A^2 - x^2), where ω is the angular frequency, A is the amplitude of the oscillation, and x is the displacement from equilibrium. At half the amplitude, x = A/2, so plug this into the formula to calculate the velocity.
The equation for calculating the velocity amplitude in a given system is V A, where V is the velocity amplitude, A is the amplitude of the oscillation, and is the angular frequency of the system.
As long as angular amplitude is kept small, the period does not depend on the angular amplitude of the oscillation. It is simply dependent on the weight. It should be noted that to some extent period actually does depend on the angular amplitude and if it gets too large, the effect will become noticeable.
Amplitude in a simple pendulum is measured as the maximum angular displacement from the vertical position. It can be measured using a protractor or by observing the maximum angle the pendulum makes with the vertical when in motion.
The equation for y(x, t) in terms of the amplitude a, angular frequency k, and the variables x and t is y(x, t) acos(kx - t).
To find the velocity of a mass at half the amplitude of its oscillation, you can use the formula for the velocity in simple harmonic motion: v = ω√(A^2 - x^2), where ω is the angular frequency, A is the amplitude of the oscillation, and x is the displacement from equilibrium. At half the amplitude, x = A/2, so plug this into the formula to calculate the velocity.
The maximum transverse speed of a particle on a wave is equal to the amplitude of the wave multiplied by the angular frequency of the wave.
One source of error in measuring the effect of amplitude in a simple pendulum could be air resistance, which can introduce discrepancies in the observed amplitude. Another source could be the precision of the measuring instruments used, leading to inaccuracies in recording the amplitude of the pendulum. Additionally, factors such as variations in the length of the string or angular displacement can also contribute to errors in the measurements of the pendulum's amplitude.
Intensity of a wave is proportional to the frequency squared and amplitude squared based on this formula; I=1/2pw^2A^2V where p is the density of the medium, w is the angular frequency and A is the amplitude and V is the wave velocity. So, everything else remaining constant, decreasing the amplitude will decrease a waves intensity. Example decreasing the the amplitude by a factor of 4 will decrease the wave intensity by a factor of 8.
Frequency is a metric for expressing the rate of oscillation in a wave. For planar and longitudinal waves, this often expressed in oscillations-per-second or Hz. Angular frequency used for expressing rates of rotation, similar to revolutions-per-second, and is usually expressed in radians-per-second. It can be thought of as a wave with a constant amplitude where the amplitude rotates in a circle in space. The two differ by factor of 2*Pi. Omega (angular frequency) = 2*Pi*f(frequency in Hz)
The maximum acceleration of a simple harmonic oscillator can be calculated using the formula a_max = ω^2 * A, where ω is the angular frequency and A is the amplitude of the oscillation.
'Angular' , as in ' the angular corner'.
The length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.