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Chapter 17: Q74P (page 511)

The average density of Earth鈥檚 crust 10鈥塳尘beneath the continents is 2.7鈥塯/cm3. The speed of longitudinal seismic waves at that depth, found by timing their arrival from distant earthquakes, is role="math" localid="1661499978175" 5.4鈥塳尘/s. Use this information to find the bulk modulus of Earth鈥檚 crust at that depth. For comparison, the bulk modulus of steel is about role="math" localid="1661499995851" 16脳1010鈥塒补.

Short Answer

Expert verified

Bulk Modulus of earth鈥檚 crust at depth is 7.9脳1010鈥塒补.

Step by step solution

01

The given data

  1. Density of earth, 蚁=2.7鈥塯/cm3or2.7脳103鈥塳驳/m3
  2. Speed of longitudinal seismic wave, v=5.4鈥塳尘/sor5400鈥尘/s
02

Understanding the concept of bulk modulus

Here, we have to use the relation between velocity, the density of the earth, and bulk modulus to find bulk modulus.

Formula:

The velocity of the wave,

v=B蚁 鈥�(颈)

03

Calculation of bulk modulus of Earth’s crust at depth

Using equation (i) and the given values, we get the value of bulk modulus of Earth鈥檚 crust at depth as:

5.4脳103鈥尘/s=B2.7脳103鈥塳驳/m3B=7.87脳1010鈥塒补B鈮�7.9脳1010鈥塒补

Hence, the value of bulk modulus is 7.9脳1010鈥塒补.

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Most popular questions from this chapter

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