Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. Example 16.1 (Section 16.1) showed that for sound waves in air with frequency 1000 Hz, a displacement amplitude of 1.2 X 10-8 m produces a pressure amplitude of 3.0 X 10-2 Pa. (a) What is the wavelength of these waves? (b) For 1000-Hz waves in air, what displacement amplitude would be needed for the pressure amplitude to be at the pain threshold, which is 30 Pa? (c) For what wavelength and frequency will waves with a displacement amplitude of 1.2 X 10-8 m produce a pressure amplitude of 1.5 X 10-3 Pa?

Solution 1E Step 1 of 4: Given v= 344 m/s F = 1000 Hz 2 p max 1= 3 × 10 pa p = 30 pa max 2 8 A 1 1.2 × 10 m Step 2 of 4: a) = v = 344 = 0.344 m f 1000