What are some important physics equations for a physics calculator?

[eNathan]

Hello. I am making a physics calculator and I need some equations. I am going to implement the Lorenz Transformation, some Gravity equations, and some other ones. Unfortautly I don't know (off hand) many equations, much less how to "group" or "catagorize" them.

Any help?

If anybody wants the software just PM me, trust me its better than using a calculator and it has full "unit conversion" support. For instance, for speed units you can put something crazy like "50.8 kilo miles every 2 decades" and the code can actually compute it! Impressive conversion eh?

 

[eNathan]

C'mon I am sure a lot of people here know tons of ''common' equations.

 

[Hurkyl]

scienceworld.wolfram.com might be a good place to go.

Incidentally, have you played with google's calculator?

 

[eNathan]

scienceworld.wolfram.com might be a good place to go.

Incidentally, have you played with google's calculator?

What are you imposing? I have to hand it to google, there conversion calculator is as good as mines. I did use google to get my conversion factors for my code.

Im checking out that site now btw

 

[eNathan]

$$\sqrt {1- \frac {v^2} {c^2} }$$

$$T = \sqrt { \frac {2d} {g} }$$
hence
$$d = \frac {2T^2} {g}$$
and we can't forget
$$e = mc^2$$

Any other famous equations?

Thx!

 

[ramollari]

Are you interested only on binary equations (involving two variables)?

 

[eNathan]

Not at all. It can have 10 variables I don't really care. Just as long as the equation is somewhat usfull. I mean, we all know things like $$s = \frac {d} {t}$$

Any help?

 

[ramollari]

I was thinking that you were going to model it like a calculator, defining new operators. For example you could define operator <velocity>, say with a sign #, and the user would press: 5, #, 2, =, to calculate

$$v = \frac{5}{2}$$.

I think it will be necessary for you to include all the important physics formulae, not only from mechanics, but also from other areas: thermodynamics, waves, optics, etc.

Some suggestions:

$$v = \frac{d}{t}$$

$$a = \frac{v - v_0}{t}$$

$$x = x_0 + v_0t + \frac{at^2}{2}$$

$$F = ma$$

$$p = mv$$

$$W = Fdcos\theta$$

$$KE = \frac{1}{2}mv^2$$

$$PE_G = mgh$$

$$F_G = G\frac{m1m2}{r^2}$$

$$F_E = k\frac{q1q2}{r^2}$$

$$v = f\lambda$$

$$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$$

and other formulas, of course (relativistic for example)

If you are ambitius, put also the ability to find derivatives, and why not also integrate.

$$v = \frac{dx}{dt}$$

$$W = \int_{x_1}^{x_2}Fdx$$

 

[eNathan]

I was thinking that you were going to model it like a calculator, defining new operators. For example you could define operator <velocity>, say with a sign #, and the user would press: 5, #, 2, =, to calculate

$$v = \frac{5}{2}$$.

I think it will be necessary for you to include all the important physics formulae, not only from mechanics, but also from other areas: thermodynamics, waves, optics, etc.

Some suggestions:

$$v = \frac{d}{t}$$

$$a = \frac{v - v_0}{t}$$

$$x = x_0 + v_0t + \frac{at^2}{2}$$

$$F = ma$$

$$p = mv$$

$$W = Fdcos\theta$$

$$KE = \frac{1}{2}mv^2$$

$$PE_G = mgh$$

$$F_G = G\frac{m1m2}{r^2}$$

$$F_E = k\frac{q1q2}{r^2}$$

$$v = f\lambda$$

$$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$$

and other formulas, of course (relativistic for example)

If you are ambitius, put also the ability to find derivatives, and why not also integrate.

$$v = \frac{dx}{dt}$$

$$W = \int_{x_1}^{x_2}Fdx$$

My idea of a calculator is way different from yours I think. And I don't understand half of the equations you gave me. Sorry if I sounds "ungrateful''. I am really more or a programmer than a physicists. I just like physics (but have never taken a course concerning it).

Also, can sombody please explain how to use the relavistic velocity equation which takes the form of $$w = \frac {u + v} {1 + \frac{uv} {c2} }$$