Dimensions of three constants

  • Thread starter BioCore
  • Start date
  • #1
BioCore

Homework Statement



Consider a Rocket in space, far removed from external gravitational influences, and suppose the engine starts up. As long as the engines are running, its instantaneous velocity v is a function of its mass. V is given by:

V = A + B log(D/m)

A, B, D are physical quantities, find the dimensions of A, B and D.

Homework Equations



V = A + B log(D/m)

The Attempt at a Solution



From here I will refer to dimensions as such: [], ex. [V] dimensions of velocity.

[V] = L/T
thus [A] = L/T

I need to still find the and [D]. I am not entirely sure here of how to approach. But would the dimensions of log be nothing, in other words [D] = M or mass.

and thus = L/T as well. Or it this a stupid assumption to make?

Thank you for the help.
 

Answers and Replies

  • #2
Doc Al
Mentor
45,011
1,288
Makes sense to me.
 

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