Why dark energy causes the universe’s expansion to accelerate

The surprising discovery that the universe is not just expanding but that the rate of expansion is increasing is what led to the idea of dark energy as the cause of that acceleration. But explaining in non-mathematical terms to a lay audience why dark energy leads to an accelerating expansion is not easy and introducing the idea that dark energy creates a negative pressure does not help much either. [Read more…]

Nice angular momentum demonstration

Angular momentum is a hard concept to teach in introductory physics courses. This is partly because it is a quantity known as a vector that has both a magnitude and a direction, and adding and subtracting and multiplying vectors is more complicated than with scalars, like mass. Other things like force and velocity are also vectors but in those cases the directionality at least is intuitively obvious. The direction of the force vector is in the direction along which the force acts and the direction of the velocity vector is the direction in which the object is moving. [Read more…]

The amazing stability of bicycles

A bicycle is a good example of something that is commonplace and yet quite extraordinary. It seems such an unlikely mode of transportation. One has to wonder how someone came up with the bizarre idea that by sitting astride a bar that connects two wheels one behind the other, one could propel oneself forward without falling. And yet everyone who has ridden a bike knows that it feels remarkably stable and as long as it is moving, it stays upright and seems to almost ride itself. ‘Look, no hands’ is the common exultation expressed by new learners as they discover for themselves that the bike can be ridden with minimal action on their part other than to keep it moving. [Read more…]