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Nairaland Forum / Nairaland / General / Education / Physics Gurus Pls Help (1914 Views)
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Physics Gurus Pls Help by Tittusstar22(m): 4:40pm On Mar 17, 2018 |
I need someone to Transform the equation to linear form
T=2pi√(K^2 +h^2)/gh |
Re: Physics Gurus Pls Help by ameri9ja: 4:47pm On Mar 17, 2018 |
Tittusstar22: Easy. Ever heard of google? |
Re: Physics Gurus Pls Help by Tittusstar22(m): 4:51pm On Mar 17, 2018 |
ameri9ja:solve it if you can |
Re: Physics Gurus Pls Help by ameri9ja: 5:13pm On Mar 17, 2018 |
Tittusstar22: . The problem statement, all variables and given/known data Linearise T=2pi√(K^2 + h^2)/gh K is known constant This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient. 2. Relevant equations 3. The attempt at a solution so i've got T/2pi all squared times g all substituted to x, h subbed to y and k^2 subbed to constant C and I've got the equation y^2 -yx + C=0 and tried to solve for y=x+β I've tried implicit differentiation and it's gotten me nowhere Mar 9, 2012 #2 tiny-tim hi seboastien! (try using the X2 button just above the Reply box ) seboastien said: ↑ Linearise T=2pi√(K^2 + h^2)/gh K is known constant This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient. if K is a known constant, can't you make one of the axes √(h2 + K2) ? Mar 9, 2012 #3 seboastien I would have to make the axis √((h^2 + K^2)/gh ) but that is a good point. However, I would still like to know how I could linearise it further. I know that a taylor approximation is needed but I don't know how to, or what a value to choose Mar 9, 2012 #4 tiny-tim √(1 + (h2/K2) = 1 + (h2/K2)/2 + … Mar 9, 2012 #5 seboastien ![]() ![]() ![]() ![]() ![]() Reference https://www.physicsforums.com/threads/linearising-compound-pendulum-equation.585280/ |
Re: Physics Gurus Pls Help by Tittusstar22(m): 5:19pm On Mar 17, 2018 |
[quote author=ameri9ja post=65921165] . The problem statement, all variables and given/known data Linearise T=2pi√(K^2 + h^2)/gh K is known constant This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient. 2. Relevant equations 3. The attempt at a solution so i've got T/2pi all squared times g all substituted to x, h subbed to y and k^2 subbed to constant C and I've got the equation y^2 -yx + C=0 and tried to solve for y=x+β I've tried implicit differentiation and it's gotten me nowhere Mar 9, 2012 #2 tiny-tim hi seboastien! (try using the X2 button just above the Reply box ) seboastien said: ↑ Linearise T=2pi√(K^2 + h^2)/gh K is known constant This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient. if K is a known constant, can't you make one of the axes √(h2 + K2) ? Lol |
Re: Physics Gurus Pls Help by OmoDavido(m): 9:17pm On Mar 17, 2018 |
Tittusstar22: very simple. square both sides first. then compare with the equation of a straight line y=mx+c 1 Like |
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