liizbenson2329 liizbenson2329
  • 05-09-2019
  • Mathematics
contestada

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Respuesta :

A1peakenbe A1peakenbe
  • 12-09-2019

Answer:

The dimensions of constant C are of [tex][L^{3}T]^{-4}[/tex]

Step-by-step explanation:

It is given that

[tex]V(t)=A+Bt+Ct^{3}[/tex]

Since the dimensions of volume are [tex][L^{3}][/tex]

Each of the term shall have a dimension of [tex][L^{3}][/tex] since they are in addition.

Thus for third term we can write

Thus we have

[tex][L^{3}]=[C][T^{4}]\\\\\therefore [C]=[L^{3}][T^{-4}][/tex]

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