contestada

A student has derived the following nondimensionally homogeneous equation:a=xt2−vt+Fmwhere v is a velocity's magnitude, a is an acceleration's magnitude, t is a time, m is a mass, F is a force's magnitude, and x is a distance (or length). Which terms are dimensionally homogeneous?

Respuesta :

jorgezarate

Answer:

None of the terms are dimensionally homogeneous

Explanation:

[tex]a=xt^{2}-vt+Fm[/tex]

dimensions from each term:

[tex]a:\frac{L}{T^{2}}[/tex]

[tex]xt^{2}:L*T^{2}[/tex]

[tex]vt:\frac{L}{T}*T=L[/tex]

[tex]Fm:N*Kg=\frac{M*L}{T^{2}}*M=\frac{M^{2}*L}{T^{2}}[/tex]

we observe that there are no terms with equal dimensions, that is to say none of the terms are dimensionally homogeneous

Otras preguntas

Q&A Education