Question

The Cauchy number, Ca, describes the ratio of inertial force to compressibility force and can be written as; Ca=ρV2K, where ρ is density, V is velocity and K is the bulk modulus of elasticity. Using dimensional analysis, what are the correct units for bulk modulus of elasticity (expressed in basic dimensions)? Group of answer choices M L^-1 T^-1 M T^-1 M L^-2 T M L^-1 T^-2 Next

Name: the cauchy number ca describes the ratio of inertial force to compressibility force and can be written as cav2k where is density v is velocity and k is the bulk modulus of elasticity using d 82801
Uploaded: 2023-02-21T08:53:35-08:00
Duration: 2 min 26 s
Channel: Adi S
Description: the cauchy number ca describes the ratio of inertial force to compressibility force and can be written as cav2k where is density v is velocity and k is the bulk modulus of elasticity using d 82801

          The Cauchy number, Ca, describes the ratio of inertial force to compressibility force and can be written as;  Ca=ρV2K, where ρ is density, V is velocity and K  is the bulk modulus of elasticity.  Using dimensional analysis, what are the correct units for bulk modulus of elasticity (expressed in basic dimensions)? Group of answer choices M L^-1 T^-1 M T^-1 M L^-2 T M L^-1 T^-2 Next

Added by Angela C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

02/21/2023

Step 1

The Cauchy number is given by: \[ Ca = \frac{\rho V^2}{K} \] where: - \(\rho\) = density (units: \(M L^{-3}\)) - \(V\) = velocity (units: \(L T^{-1}\)) - \(K\) = bulk modulus of elasticity (units: unknown, to be found) Show more…

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The Cauchy number, Ca, describes the ratio of inertial force to compressibility force and can be written as; Ca=ρV2K, where ρ is density, V is velocity and K is the bulk modulus of elasticity. Using dimensional analysis, what are the correct units for bulk modulus of elasticity (expressed in basic dimensions)? Group of answer choices M L^-1 T^-1 M T^-1 M L^-2 T M L^-1 T^-2 Next