Find Physical Dimension of Constant C2

[AmrAmin]

hi, I have to find the dimension of the constant C2. I have no problem with finding constant C1. Here is the question, and I appreciate your help.

the equation is :

m= $$\sqrt{\frac{2t}{C1}}+m cos(\frac{1}{C2}t)$$


I would like please to understand the solution with knowing the exact answer.

 

[dynamicsolo]

m= $$\sqrt{\frac{2t}{C1}}+m cos(\frac{1}{C2}t)$$

The argument of a trigonometric function, such as (t/C2) here, is expressed in radians (or degrees), which is considered to be a dimensionless value. Recall that angle is defined on a circle as the arclength along the circle (s) divided by the radius of the circle (R); thus (theta) = s/R , making the radian a dimensionless unit.

 

[Doc Al]

Hint: Angles are considered dimensionless.

 

[AmrAmin]

Thank you guys for making this is clear to me.