Converting the Speed of Light into Micrometres/Year for Radical Equation Problem

[Stratosphere]

Homework Statement

86300=$$\frac{86400}{1/\sqrt{1-(v/299000000){2}}}$$

Homework Equations

The Attempt at a Solution

When I square each side I get an astronomicly high number.

 

[lanedance]

hi stratosphere

have you tried dividing both sides by 86400 first?

 

[HallsofIvy]

Or, better, dividing both sides by 86300 and then multiplying both sides by that square root.

And, is that
$$\sqrt{1- (v/299000000)2}$$
supposed to be
$$\sqrt{1- (v/299000000)^2}$$?

 

[Stratosphere]

And, is that
$$\sqrt{1- (v/299000000)2}$$
supposed to be
$$\sqrt{1- (v/299000000)^2}$$?

Yah I meant to make it an exponent.

 

[Mentallic]

If you're attempting to use the relativity equations (I'm guessing to find length contraction?), rather than using metres/second for the speed of light and resulting in astronomically high numbers, or better yet, converting the speed of light into micrometres/year; why not just leave it as c, and after solving for c, substitute whatever unit of measurement you want in place for it.