A 7.0 m rope allows waves to travel through it at a speed of 19 m/s. When vibrated at a certain frequency, the rope produces a standing wave pattern with 5 nodes. BLANK 1: Draw this wave pattern (dropbox) AND determine its wavelength. BLANK 2: Calculate the frequency of vibration.

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?___W

The figure below represents the profile of a wave at three different times

The figure below shows a history graph of a wave at x=0s.  The wave has a velocity of 2.0 m/s.  Determine the following:  Frequency is the inverse of period.  For wavelength use v=λf.   amplitude frequency wavelength of the wave?

A piece of string AB is 7 m long with end B left free to move.  A is vibrated harmoniously up and down so that it travels on a string with a speed of 20 m/s.  If the 5th node is 4 m from the origin of the vibration, calculate: a.  the wavelength that propagates on the rope b.  the frequency of the resulting wave

QUESTION 5 A transverse wave completes 12 full oscillations in two seconds. The wave moves at 31.2 m/s. Find the distance between two adjacent crests on the wave (in m). QUESTION 6 The linear density of a guitar string is 8.0 x 104 kg/m. A wave on the string has a frequency of 400 Hz and a wavelength of 60 cm. What is the tension in the string? QUESTION 7 The mathematical expression of a wave is given by y = 4.2 m Sin ( 1.2 rad/m x – 9.6 rad/s t). What is the speed of the wave (in m/s)? QUESTION 8 What is the sound intensity (in µW/m2) at 1.86 m from a 4 mW loudspeaker emitting sound uniformly in all directions?

A standing wave is created through a 246-cm long rope. Vibrations travel within the rope at speeds of 22.7 m/s. Determine the frequency of vibration of the rope.

The hand moves the end of the Slinky up and down through 8 complete cycles in one second. The wave moves along the Slinky at a speed of 49 m/s. Find the distance between two adjacent crests on the wave. No need to include the unit. Write your answer in whole numbers.

A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Select the statement that correctly describes the resulting oscillations.   Select one: a. The string will oscillate in the 2nd harmonic. b. The string will oscillate in the 3rd harmonic. c. The string will oscillate in the 1st harmonic.

Problem 1: Wave Resonance Explorationa. You are conducting an experiment to explore resonance in a string fixed at both ends. The string has a tension of 200 N and a linear density of 0.02 kg/m. Calculate the first three resonant frequencies for the string. b. The same string from part (a) is now immersed in water. Determine how the change in medium affects the resonant frequencies.