SOLUTION: HELP!!! PLEASE!!! Been working on this for soo long and don't know what to do. The ability of steel rod material to carry a load is related to the cross-sectional area of the rod.

Click here to see ALL problems on Graphs

Question 730420: HELP!!! PLEASE!!! Been working on this for soo long and don't know what to do.
The ability of steel rod material to carry a load is related to the cross-sectional area of the rod. you can rewrite the expression that relates to the
cross-sectional area of the steel rod to the desired tension
(π (d^2))/4= (L)/(15,000 psi )
where d is the diameter of the steel rod in inches
and L is the load desired to be supported under tension, in pounds (L is divided by the safe working stress for medium steel rod, 15,000psi)
a. using the equation above, isolate the variable d to find an equation for the diameter of ateel rod needed for any load L.
b. draw a graph of your equation for loads from 0 to 100,000 pounds.
c. Is this graph linear or nonlinear?
THANK MUCH FOR THE HELP!!
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The ability of steel rod material to carry a load is related to the
cross-sectional area of the rod.
you can rewrite the expression that relates to the cross-sectional
area of the steel rod to the desired tension:
(π (d^2))/4= (L)/(15,000 psi )
where d is the diameter of the steel rod in inches
and L is the load desired to be supported under tension, in pounds
(L is divided by the safe working stress for medium steel rod, 15,000psi)
=
a. using the equation above, isolate the variable d to find an equation
for the diameter of a steel rod needed for any load L.
Cross multiply
= 4L
=
:
d =
:
b. draw a graph of your equation for loads from 0 to 100,000 pounds.
Graph: y =
looks like this

c. Is this graph linear or nonlinear? You can answer that from this graph