- 2. As we have seen with waves on a string, the springiness of a material...

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- 2. As we have seen with waves on a string, the "springiness" of a material is one property that goes toward determining the speed at which waves travel through it. We also saw that the mass density of the material is important. In fluids or soft tissue the "springiness" of the material is described by the bulk modulus B, defined as B where AP is a change in pressure and AV/V is AV/V the corresponding proportional change in volume. (This is kind of like Young's modulus but for volumetric compression rather than length extension. Does a large bulk modulus correspond to more or less "springiness?") The mass density in fluids or soft tissue is just p = m/V. Working by analogy from what we know about the speed of a wave on a string (recall that for a string: v=F(tension)) where m/L is the "mass-per-length" of the string), what do you think the expression might be for the speed of sound in a fluid or soft medium, expressed in terms of B and p? - 2. As we have seen with waves on a string, the "springiness" of a material is one property that goes toward determining the speed at which waves travel through it. We also saw that the mass density of the material is important. In fluids or soft tissue the "springiness" of the material is described by the bulk modulus B, defined as B where AP is a change in pressure and AV/V is AV/V the corresponding proportional change in volume. (This is kind of like Young's modulus but for volumetric compression rather than length extension. Does a large bulk modulus correspond to more or less "springiness?") The mass density in fluids or soft tissue is just p = m/V. Working by analogy from what we know about the speed of a wave on a string (recall that for a string: v=F(tension)) where m/L is the "mass-per-length" of the string), what do you think the expression might be for the speed of sound in a fluid or soft medium, expressed in terms of B and p?