Blake is doing an experiment to find the relationship between string tension [tex]F _7[/tex], string linear density D, frequency of oscillation ([tex]f[/tex]) and wavelength ([tex]\lambda[/tex]) for a wave on a string. The student keeps the string tension and density constant. He sets the frequency of the string's oscillation and measures the wavelength.
The known relationship is: [tex]\sqrt{\frac{F_T}{D}}=f \lambda[/tex]
a. Rearrange the equation so the dependent variable is by itself on one side.
[tex]\sqrt{\frac{F T}{P}}=f \lambda=\sqrt{\frac{F_T}{\sqrt{5}}} \times \frac{1}{\frac{1}{5}}[/tex]
b. What variables could he graph to get a linear relationship? x : f y:
c. Fill in the data table below with any additional data you need to linearize it.
d. Plot your data, being sure to label your axes.
\begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Frequency $(1 / s )$ \end{tabular} & \begin{tabular}{c} Wavelength $( m )$ \end{tabular} & $\frac{1}{f}$ \\\hline 200 & 1.22 & 0.005 \\\hline 400 & 0.61 & 0.0025 \\\hline 600 & 0.41 & 0.0017 \\\hline 800 & 0.31 & 0.0013 \\\hline \end{tabular}
Answer (3)
I guess irreducible form? (translated from my language, maybe it's actually another word?)
The correct answer is:
Simplest form.
Explanation :
We say that a fraction is in "simplest form" if it can no longer be simplified. This means that there are no more factors that can be divided out of the numerator and denominator.
If a numerator and denominator have a GCF of 1, this means the greatest thing that divides both of them is 1. This means that there are no more factors we can divide by, which means there is no more simplification to do; this is simplest form.
A fraction is in simplest form when the GCF of its numerator and denominator is 1, meaning there are no common factors to simplify. This indicates that the fraction cannot be reduced any further. An example is 9 8 , where the only common factor is 1.
;
