Wave speed, tension, linear density

[sphouxay]

Homework Statement

The wave speed on a string is 155 m/s when the tension is 84.0 N.
What tension will give a speed of 182 m/s?

Homework Equations

velocity= Squareroot(tension/linear density)
linear density = mass/length

The Attempt at a Solution

Well, what I did was assuming that i just plug in the numbers my linear density would be 0.0035, my initial tension of 84 netted 155 m/s, I plugged this same number into find the tension with speed of 182 m/s and my answer was 115.934 after some manipulation of numbers, if this is correct is this answer already in N (Newtons).

 

[ponjavic]

As you solve for tension without manipulating the equations the answer is naturally in N.