Due 12 September Read all of chapter 1 and sections 2.1, 2.2, 2.3, 2.6, 2.10 and

Question

Due 12 September Read all of chapter 1 and sections 2.1, 2.2, 2.3, 2.6, 2.10 and 2.11 of chapter 2 in the textbook. In addition to the two problems below, solve the following exercises/problem 1.5.9, 2.11.4, 2.11.8 (take viscosity of the oil as 0.18 N s/m2), 2.22 and 2.25. Consider the following conservation of momentum equation: F = dm 2/dtV2 - dm1/dtV1 = rho2(A2V2)V2 - rho1(A1V1)V1 where F is a force, m is a mass, t is time, V is a velocity (with magnitude V), rho is a density and A is an area. Show that this equation is dimensionally homogeneous. Consider the following equation:

Explanation / Answer

dimension of force=kgm/s^2
dimension of dm2/dt*v2=dm1/dt*v1=kg/s*m/s=kgm/s^2
dimension of 2(A2V2)V2=1(A1V1)V1=Kg/m^3*(m^2*m/s)*m/s=kgm/s^2

hence its is dimensionally homogenous

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