Category Archives: Equations

Q: Why does the Earth orbit the Sun?

The original question was: What exactly causes the Earth’s rotation and revolution?  Does this occur due to centripetal force and the lack of friction to stop the Earth from spinning? IE- Newton’s First Law? If so, where did this centripetal … Continue reading

Posted in -- By the Physicist, Astronomy, Equations, Physics | 63 Comments

Q: If you suddenly replaced all the water drops in a rainbow with same-sized spheres of polished diamond, what would happen to the rainbow? How do you calculate the size of a rainbow?

Physicist: A normal rainbow is created when light enters a water droplet, bounces once off of the far side, and comes back out. Diamond “droplets” however don’t make rainbows.  In order to get a rainbow that exists, and isn’t in … Continue reading

Posted in -- By the Physicist, Equations, Geometry, Physics | 4 Comments

Q: Is 0.9999… repeating really equal to 1?

Mathematician: Usually, in math, there are lots of ways of writing the same thing. For instance: = = = =   As it so happens, 0.9999… repeating is just another way of writing one. A slick way to see this … Continue reading

Posted in -- By the Mathematician, Equations, Math | 117 Comments

Q: Is there a formula to find the Nth term in the Fibonacci sequence?

Physicist: Hells yes!  It’s , where the “≈” is close enough that you can round to the nearest integer.  Astute readers will notice that is the golden ratio, and may wonder if this is a coincidence.  Yes. Everything after this … Continue reading

Posted in -- By the Physicist, Equations, Math | 22 Comments

Q: Why is the integral/antiderivative the area under a function?

Physicist: If you’ve taken calculus, then at some point you learned that to find the area under a function (generally written ) you need to find the anti-derivative of that function.  The most natural response to these types of theorems … Continue reading

Posted in -- By the Physicist, Equations, Math | 59 Comments

Q: How do I find the love of my life? (a Mathematician’s perspective)

Mathematician: The Physicist and I were once asked “how do I find the love of my life?”. Never ones to shy away from applying math to love (or anything else), the Physicist gave his take on this question (noting the … Continue reading

Posted in -- By the Mathematician, Biology, Equations, Philosophical, Probability | 24 Comments