Problem $1\mathrm{.}9$

The force $(N)$ in a damped oscillator is a function of time $(min)$ and can be calculated by the following expression:

$F=\frac{sin(A{t}^2)}{t}(B+\frac{C}{t})$

Where $A,B,$ and $C$ are constants of the equation.

a$)$ Convert the force of $25N$ to $l{b}_f.$

b$)$ How should the data be plotted to obtain a straight line on rectangular coordination and what are the units of each axis $(x-$axis and $y-$axis$)?$

c$)$ What are the units of $A,B$ and $C?$

d$)$ if A has a value of $3,$ Identify the slope and intercept and write the expression that you would use to calculate them?

Formula Sheet:

$1N=1kg*\frac{m}{s^2}={10}^5$ dynes $=0\mathrm{.}2248lb{b}_f$

For a general equation of the form: $y=ax+b$

The slope and intercept will be:

Slope $a=\frac{y_2-y_1}{x_2-x_1}$

Intercept $b=y_2-a{x}_1$