## Angular velocity

This GeoGebra app shows how angular velocity ω is the rate of change of angular displacement (i.e. $\omega=\dfrac{\theta}{t}$) and is dependent on the speed and radius of the object in circular motion (i.e. $v=r\omega$). Students can explore the relationships by… Continue Reading

## Angular displacement

This GeoGebra app shows the relationship s = rθ. One activity I get students can do is to look at the value of θ when the arc length s is equal to the radius r. This would give the definition… Continue Reading

## Uniform vertical circular motion

The following GeoGebra app simulates the force vectors on an object in uniform vertical circular motion. A real world example of this would be the forces acting on a cabin in a ferris wheel.

## Vertical Non-Uniform Circular Motion

This is a simulation that shows the vectors of forces acting on an object rolling in a vertical loop, assuming negligible friction. To complete the loop, the initial velocity must be sufficiently high so that contact between the object and… Continue Reading

## Aircraft Turning in a Circle: a 3-D Visualisation with GeoGebra

This GeoGebra app is a 3-D visualisation tool of the force vectors acting on an aircraft turning with uniform circular motion in a horizontal plane. I prepared this in advance as I will be lecturing on this JC1 topic next… Continue Reading

## Cardboard Boomerang

A indoor boomerang can be constructed using 3 strips of cardboard put together. Throwing it may require some practice though but when you get the hang of it, it can inject great fun into your lesson. You can explore using… Continue Reading

## Angular Displacement – 2011 A-level question

A disc rotates clockwise about its centre O until point P has moved to point Q, such that OP equals the length of the straight line PQ. What is the angular displacement of OQ relative to OP? A.   $\frac{\pi}{3}$… Continue Reading