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Compact Device For Measuring Speed of Light
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[QUOTE="person123, post: 6436628, member: 611120"] I'm going to use these numbers: [LIST] [*]Height of cylinder (H): ##1m## [*]Angle of tilt of laser (##\theta##): ##0.1^{\circ}## (might be stretching it a bit) [*]Rotation speed of cylinder (##\omega##): ##100\frac{rad}{s}## [*]I'll use ##3*10^8 \frac{m}{s}## for ##c## [/LIST] I'll then compute ##\alpha## or the angle the line deviates from the perspective of the camera. So, the time it takes to go up the cylinder would be: $$t=\frac{H}{c\sin(\theta)}$$ This would be equal to the time the camera travels: $$t=\frac{\alpha}{\omega}$$. Solving for ##\alpha## would give: $$\alpha=\frac{H \omega}{c\sin\theta}=\frac{1(100)}{3*10^8*\sin(0.1^{\circ})}\frac{180}{\pi}=0.011 ^{\circ}$$ To convert that to pixels, (I'm not sure if these calculations are correct) I would multiply that angle by the total number of pixels (I'll say 1000 pixels) and divide by the range of the camera (I'll take it to be ##45 ^{\circ}##). This would give me $$n_{pixels}=\frac{0.011^{\circ}(1000)}{45^{\circ}}=0.244$$ Unfortunately, this seems like it wouldn't show up using this type of equipment.:frown: The one other possibility I have would be to cap the top and bottom with horizontal mirrors so the light bounces up and down many times before dispersing. Then you might see a slight "smudge" of the light to the left or right when it is spun. If that did work though, I think it would just be qualitative; I don't see how you would get a value from that. [/QUOTE]
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Compact Device For Measuring Speed of Light
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