Chapter 7.3, Problem 3CYP

To determine

To find: The frequency for $T=3$ , 6, and $9$ pounds. And to plot the graph.

Answer to Problem 3CYP

The frequency for $T=3$ ,6, and $9$ pounds are $346.41,489.89,600$ .

Explanation of Solution

Given:

The given function is:

  $F=200\sqrt{T}\dots \left(1\right)\left[T\text{is the tension measured in pounds}\right]$

Graph the above function for tension in the domain $\left\{T:0\le T\le 10\right\}$ .

Make a table for values $0\le T\le 10$ as given:

$T$	$F\left(T\right)$
$0$	$0$
$1$	$200$
$2$	$282.84$
$3$	$346.41$
$4$	$400$
$5$	$447.21$
$6$	$489.89$
$7$	$529.15$
$8$	$565.68$
$9$	$600$
$10$	$632.45$

The graph of the function after plotting the above point is given as:

  

According to the graph and table the frequency for $T=3$ , 6, and $9$ pounds is given as:

  $346.41,489.89,600$ .