A piezoelectric crystal has a length of 4 ×10-3 m and density 3 × 103 Kg/m3. Calculate its fundamental frequency. Given that Young’s modulus of the material is 8.2 × 1010 N/m2.
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Q2 A piezoelectric crystal has a length of 4 ×10-3 m and density 3 × 103 Kg/m3. Calculate its fundamental frequency. Given that Young’s modulus of the material is 8.2 × 1010 N/m2.
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- Part A Two steel guitar strings A and B have the same length and are under the same tension. String A has a diameter of 0.65 mm and string B has a diameter 1.17 mm. Treat the stretched-out strings as right cylinders with length L and radius r having volume n L. You may assume that both strings are made of the same material, so they have the same density. The ratio of the wave speeds, VA/VB, in the two strings is (enter your answer with two significant figures) possibly useful: density = mass/volume v = Af string fixed at both ends: An = 2L/n ; n = 1, 2, 3, 4, 5... %3D V = squareroot[F/µ) H = mass per unit length 1.8 Sumit Previous Answers Correct Part B The ratio of the eleventh harmonic frequency of string A to the eleventh harmonic frequency of string B, (111)A/(f11)B, is (enter your answer with two significant figures) 1.8 Bubm Previous Answers CorrectAn interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove QuestiFor the wave Y = 3cos(5t -6x), what are the following? a. Amplitude: b. Wavelength: c. Frequency:
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