This problem shows how dimensional analysis helps uscheck our work and sometimes

Question

This problem shows how dimensional analysis helps uscheck our work and sometimes even help us find a formula. A ropehas a cross section A = 10 m2 and density r= 2000 kg/m3. The "linear" density ofthe rope m, is defined to be the massper unit length, in the form m=rxAy. Based ondimensional analysis, find the powers x and y.

x = ? y = ? This problem shows how dimensional analysis helps uscheck our work and sometimes even help us find a formula. A ropehas a cross section A = 10 m2 and density r= 2000 kg/m3. The "linear" density ofthe rope m, is defined to be the massper unit length, in the form m=rxAy. Based ondimensional analysis, find the powers x and y.

x = ? y = ? y = ?

Explanation / Answer

x=1, y=1 p=[kg/m^3] A=[m^2] p*A=[kg/m] which is the unit we want

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