How to solve this catenary equation

How to solve this catenary equation

Postby Steve Mckenna » Sun Jul 26, 2009 12:19 pm

f(x) = a cosh (x/a)

Determine the value of x when f(x) = 48 and a = 35
Steve Mckenna
 
Posts: 3
Joined: Sun Jul 26, 2009 10:52 am
Location: UK
Reputation: 0

Re: How to solve this catenary equation

Postby leesajohnson » Fri Dec 23, 2016 6:32 am

The links which are shared here is too useful for solving math problems.

User avatar
leesajohnson
 
Posts: 208
Joined: Thu Dec 31, 2015 7:11 am
Location: London
Reputation: -33

Re: How to solve this catenary equation

Postby Baltuilhe » Fri Jul 05, 2019 8:31 am

Good morning!

Just to help another people who could have searched for 'catenary', like me :)

[tex]f(x)=a\cdot\cosh\left(\dfrac{x}{a}\right)[/tex]

Given data:
[tex]\begin{cases}f(x)=48\\a=35\end{cases}[/tex]

Calculating:
[tex]48=35\cdot\cosh\left(\dfrac{x}{35}\right)\\
\dfrac{48}{35}=\cosh\left(\dfrac{x}{35}\right)\\
\dfrac{x}{35}=\cosh^{-1}\left(\dfrac{48}{35}\right)\\
x=35\cdot\cosh^{-1}\left(\dfrac{48}{35}\right)\\
\boxed{x\approx 29,3029}[/tex]

I Hope to have helped! :)

Baltuilhe
 
Posts: 44
Joined: Fri Dec 14, 2018 3:55 pm
Reputation: 29


Return to Calculus - integrals, lim, functions



Who is online

Users browsing this forum: No registered users and 1 guest