Problem 1 Show if the following function is a solution of the differential wave equation and determine the velocity of the wave if it's a wave. y(x,t)=20 sin(x²+7t)
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- Consider a 1 meter-long string with a mass of 50 g attached to a string vibrator. The tension in the string is 80 N. When the string vibrator is turned on, it oscillates with a frequency of 64 Hz and produces a sinusoidal wave on the string with an amplitude of 4 cm and a constant wave speed. Give your answers to 3 sig fig. A)VWhat is the linear density of the medium?____kg/m B)What is the wave speed?____m/s C)What is the angular frequency?______Hz D) What is the time-averaged power supplied to the wave by the string vibrator?___WQuestions 1-6: Consider a wave on a string that can be described by the following equation: y (x, t) = 2.5 cm Sin(2.0 m-1x + 1800 s-1- 4.7) %3D 1. This is describes a... [circle one] ( sanding wave / wave traveling toward +x/wave traveling towards -x) 2. Amplitude = 3. Wavelength = 4. Frequency = 5. Wave speed% = 6. Speed of the medium att = 2.0 ms = X-0.25mPlease select the correct statement about the amplitude of a wave. a. The amplitude of a wave can be either a positive or a negative value. ☐ b. The amplitude of a wave can be a negative value. О с. The amplitude of a wave is always a positive value.