A wave is propagating along the string that has a length of 2 m and is under a tension of 48
(a)Determine the velocity of the wave along the string
(c)The mass of the string
N. The displacement of the string is given by S(y,t) = 0.024sin(0.6y –7t)
(b)The wavelength of the wave
(d)The power carried by t
There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:∂2u/∂t2 = vp2∇2u,where vp is the phase velocity of the wave and ∇2 is the Laplacian.For the specific example of a vibrating string with a small amplitude, the wave equation becomes:∂2y/∂t2 = v2∂2y/∂x2,where y(x,t) and v is the velocity of the wave.The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
Kinetic energy is another name for scalar energy. Kinetic energy is provided by the vector energy cmV=cP, the momentum energy. Momentum is a vector and Momentum energy cP is also a vector, a vector energy. This Momentum Energy gives the velocity V and speed v and thus the "kinetic energy". The electron vector energy is cmV=cP and and the scalar energy is vp ! it is clear that te sclar energy vp=mv2 is much smaller than the vector energy cVm. the so-called kinetic energy is vp/2 = 1/2 mv2. kinetic energy is a product of the vector energy cmV, no Velocity , no kinetic energy.
According to einstine energy relation that energy of a moving body is equal to product of mass of that body and square of the velocity of light. The energy of a body is W = -mv2 + cmV = -mv2 + cmV = [-vp, cP]. At Extreme the Total energy is W = -mc2 + mc21P = mc2[-1,1R], a Quaternion energy. The Total energy magnitude is |W| = 2mc2.
the difference between force and motion is simple. force is described as the amount of pressure that is applied. motion is a certain movement and it is the result of the force or simply the given potential energy.
The force of gravity depends on the velocity field, the mass and the separation distance, F = vp/r = mv2/r.
The Phase Velocity, vp decreases (this is the velocity of a wave crest as it propagates).Frequency, ω does not change during refraction.The Period, T remains constant also because it is tied to the light's frequency by: ω=2π/T. (angular frequency, which is ω=2πf)The wavelength then must decrease also, because vp = λ/T. Rearranging this as: vpT= λ. Since we see that vp decreases, and T is constant, then it's easy to see that the wavelength, λ will also decrease.
The velocity of pressure and shear waves through a solid is dependent on the elastic properties and density of the material through which the wave is travelling.The pressure wave velocity (VP) can be found using the following:VP = Sqrt((K+ (4/3 x G)) /P)Where:K = Bulk modulusG = Shear modulusP = DensityThe shear wave velocity is given by the following:VS = Sqrt (G/P)Where:VS = Shear wave velocityG = Shear modulusP = Density
VP = VL / √3 or VL = VP*√3. this will give you the values for a star connected system. If you using delta the VP = VL
Typical values for P-wave velocities within the Earth are between 5 and 8 km/s.However the velocity is dependent on the elastic properties and density of the material through which the wave is travelling.The P-Wave velocity (VP) can be found using the following:VP = Sqrt((K+ (4/3 x G)) /P)Where:K = Bulk modulusG = Shear modulusP = DensityPlease see the related links for more information.
There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:∂2u/∂t2 = vp2∇2u,where vp is the phase velocity of the wave and ∇2 is the Laplacian.For the specific example of a vibrating string with a small amplitude, the wave equation becomes:∂2y/∂t2 = v2∂2y/∂x2,where y(x,t) and v is the velocity of the wave.The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:∂2u/∂t2 = vp2∇2u,where vp is the phase velocity of the wave and ∇2 is the Laplacian.For the specific example of a vibrating string with a small amplitude, the wave equation becomes:∂2y/∂t2 = v2∂2y/∂x2,where y(x,t) and v is the velocity of the wave.The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
Assuming sine wave (it is different if not): Vp-p = 2.828 * Vrms
To find the distance to an earthquakes epicentre, you need the data from a seismometer.The seismometer records the P and S-wave arrival times. P-waves travel faster through the Earth than S-waves and so they arrive at the seismometer station before the S-waves and are recorded by the seismometer on the seismogram first.The difference in arrival time between the two types of seismic wave can be used to calculate the distance of the earthquakes epicentre from the seismometer.DE = DeltaT x (VP - VS) / (VS x VP)Where:DE = Distance to epicentre (km)DeltaT = Difference between P and S-wave arrival time (s)VP = P-wave velocity (km/s)VS = S-wave velocity (km/s)Please see the related question for further information.
There are many different things that energy is made up of. Energy is made up of different sources for different organisms and non-organisms.
They measure the difference in arrival times of P and S seismic waves as measured on a seismograph. From this (based on an estimate of their relative velocities) they can calculate the distance of the seismometer from the earthquakes epicentre using the following equation:Distance to epicentre (km) = Time Difference (s) x (VP - VS) / (VS x VP)Where:VP = P-wave velocity (km/s)VS = S-wave velocity (km/s)
That depends on what VP. You could be talking about the VP of a paper company or the VP of The United States Of America.
the vp of the senate