What number of instances have you ever stated, “I want the times have been longer”? Nicely, NASA scientists say the development of China’s Three Gorges Dam really did make the times longer, by slowing the rotation of the Earth. Hallelujah! Further time you need to use to study a brand new language, catch up at work, and even higher, sleep in.
This raises lots of questions. To begin with, is it true? Did the dam really make our days longer? And in that case, why? And simply how a lot further time are we speaking about right here? I imply, you must plan your schedule, proper? Ought to we construct extra large dams to get much more time?
Angular Velocity
To reply these questions, we’d like three fundamental physics concepts: (1) angular velocity, (2) angular momentum, and (3) the second of inertia. I’ll clarify every of those.
First, right here’s somewhat experiment that you are able to do your self. In case you have a rotating desk chair, get it spinning together with your toes off the bottom and your arms tucked in. Now, earlier than you throw up, lengthen your arms. It slows you down, proper? This is a model with a human on a rotating platform:
Video: Rhett Allain
The velocity of rotation is what we name angular velocity, represented by the Greek letter omega (ω). Why “angular”? Right here’s a two-dimensional instance under. Consider this circle as centered on an xy coordinate airplane. I’ve drawn a radius (R) to a degree on the circle the place it cuts the horizontal axis: