14. Explain the difference between the speed of a transverse wave travelling down a cord and the speed of a tiny piece of the cord.
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- 7. Two travelling waves are defined: Y+ = cos(kx-wt) and Y = cos(kx+wt) Calculate the sum, Y+ + , and make sketches of the wave as a function of x for various times (t = 0, T/4, T/2, etc). Describe the motion of the wave. What is the repetitive period?11. If the distance from a point source of sound is tripled, then the sound intensity: A. decreases by a factor of 9. B. decreases by a factor of 3. C. stays the same. D. decreases by 9 decibels. E. decreases by 3 decibels.7. Wave Characteristics - What is the speed of the wave? - 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.50 10 15 20 25 30 35 40 x [meters] 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.5 4 6. 10 t [seconds] y [meters] y [meters]
- 4. You pick up an empty 16 oz. plastic coke bottle and blow a steady airstream over the top edge of the bottle's mouth to set the air in the bottle into resonance. What is the frequency of the 1" mode for the bottle? (Hint: you'll need a metric ruler for this question). 5. The Empire State Building in NYC is approximately 440 meters in height. The superstructure of the building is made of steel which means that energy will be transmitted through the buildings core at 1500 m/sec. If the building is being blasted and buffeted by a strong wind storm, at what frequency will the building sway in it's 1st mode of vibration. (Hint: think about what type of a resonator a building could be)2. Waves traveling across a string are obey the equation; y(x, t) = 0.05m sin(89.7x – 868t + 4) assume proper SI units a) What is the wavelength, period, and wave speed of this wave? b. If an element of the string at x=0 and t=0 is at the position y = 0.035 m and is traveling upward (+y direction), what is the phase constant p?2 x (cm) -2- -41 A The displacement of a vibrating string versus position along the string is shown in the figure. The periodic waves have a speed of 10.0 cm/s. A and B are two points on the string. What is the wavelength of the wave? (ww) h 1.5 4.5- 10.5 13.5 16.5
- 10. A rubber ducky (located at x = 0 m) that floats on a lake and bobs up and \y (in cm) at t=0 down due to one dimensional water waves. Shown are a y(x) graph that depicts the water wave as a function of position at the time t = 0 s and a y(t) graph that depicts the vertical displacement of rubber ducky as a function of time. 4 At 2 x (in m) 3 -4 In this question you are to assume that you are trying to fit the general equation for a travelling sine wave given by: -6 y (in cm) at x=0 y(x,t) = A sin 27÷±27; 6 t (in s) -2 -4 -6 a. What is the wavelength (in m) and period (in s) of this water wave? b. What is the velocity of this water wave (both speed and direction)? c. What is the value of ø (i.e. the phase constant) for this water wave (in radians)?In the following two questions, a block oscillates on a spring with a spring constant of 35 N/m. The block's position is described by x = (0.6 m) cos(40t), with t measured in seconds. 7) What is the total mechanical energy of the oscillator? A. 1.9 J B. 2.5 J C. 3.8 J D. 5.1 J E. 6.3 J and sust 8) What is the block's maximum speed? A. 6 m/s B. 12 m/s C. 18 m/s D. 24 m/s E. 36 m/s ma CE 3 vistamixo qqA Jisqs in 00.E sus adiud wallow (EE 00.8 sritiw aqoosslot llames yd baviDEST Vilen polavsw agstovs sri ad of trigil srit5