An Elementary Treatise On Hydrodynamics And Sound
An Elementary Treatise On Hydrodynamics And Sound
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Let us now suppose that two waves are represented by the equations y = a sin (x - Vt), \ y' = a sin (x Vt e). X The amplitudes, wave lengths and velocities of propagation of the two waves are equal, but the second wave is in advance of the first; for if in the first equation we put t + e/V for t, the two equations become identical. It therefore follows that the distance at which the second wave is in advance of the first is equal to e. The quantity e is called the phase of the wave.
80. Waves w...hich are represented by equations such as (1), are called progressive waves ; their wave lengths are equal to 2?r/m, and their velocities of propagation to n/m. If such waves axe travelling along the surface of water under the action of gravity, they may be conceived to have been produced by com- municating to the free surface an initial displacement y = a sin mx, together with an initial velocity an cos mx. We therefore see that the wave length depends solely on the initial displacement, but that the velocity of propagation depends upon the initial velocity as well as upon the initial displacement.
What to read after An Elementary Treatise On Hydrodynamics And Sound?
You can find similar books in the "Read Also" column, or choose other free books by Alfred Barnard Basset to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Let us now suppose that two waves are represented by the equations y = a sin (x - Vt), \ y' = a sin (x Vt e). X The amplitudes, wave lengths and velocities of propagation of the two waves are equal, but the second wave is in advance of the first; for if in the first equation we put t + e/V for t, the two equations become identical. It therefore follows that the distance at which the second wave is in advance of the first is equal to e. The quantity e is called the phase of the wave.
80. Waves w...hich are represented by equations such as (1), are called progressive waves ; their wave lengths are equal to 2?r/m, and their velocities of propagation to n/m. If such waves axe travelling along the surface of water under the action of gravity, they may be conceived to have been produced by com- municating to the free surface an initial displacement y = a sin mx, together with an initial velocity an cos mx. We therefore see that the wave length depends solely on the initial displacement, but that the velocity of propagation depends upon the initial velocity as well as upon the initial displacement.
What to read after An Elementary Treatise On Hydrodynamics And Sound?
You can find similar books in the "Read Also" column, or choose other free books by Alfred Barnard Basset to read onlineMoreLess
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