Pendulum clock
The different parts
of this pendulum clock - the pendulum, the escapement wheel and the other
gear wheels - are each composed of rigidly bound groups of balls, each able
to rotate around a fixed ball (drawn with cross-hatching). The "top" view
of the clock shows how the gears mesh together.
The key to how the pendulum clock works lies in the escapement mechanism
- the particular arrangement of the two balls at the top of the pendulum
and the green escapement wheel below. (The name "escapement" describes the
gear teeth periodically escaping the restraint of the time keeping
element.)
The motive force driving the clock is provided by the small beige gear wheel
(which in a real clock could be driven by weights or a coiled spring). Follow
how this force is applied to the smaller of the (ridigly bound) blue gears,
and how the outer blue gear then drives the green escapement wheel.
1. How do the pendulum and the escapement wheel affect each other's movements?
How is this vital to the working of the clock?
2. What happens when you move the pendulum up, out of engagement with escapement
wheel? (Grab the smaller hatched ball of the pendulum to do this. To move
the pendulum back down later - either move it down or press
rewind.)
3. What happens when you delete the (beige) driving wheel?
(To do this,
pause the simulation, select the wheel with the mouse and press the Delete
key. Press
play
to restart the simulation.)
4. Describe and explain the movement of the blue gear wheels (in normal
operation).
5. What makes the purple and large green gear wheels move?
How many times does the blue gear wheel rotate for one revolution of the
large green gear wheel?
Links:
The evolution of the escapement
The evolution of the escapement2
14 escapement
mechanisms in motion (scroll to bottom of page for links to
animations)
Lego
clock1 ,
Lego
clock2
A brief
history of timekeeping
Clock
parts
The
evolution of the quartz crystal clock
History
of timekeeping
About the simulation:
Red arrows show forces on an object. Thin headed
arrows show the individual forces that combine together to give the
triangle headed resultant force.
Blue arrows show the direction and speed of an
object's velocity.
The longer an arrow, the greater the force and velocity it represents. Beyond
a certain length - indicated by a bar the arrow - the arrow grows
logarithmically; so that a doubling in force or velocity is shown as a fixed
increase in length beyond the bar. This allows a much greater range of magnitudes
of force and velocity to be displayed side-by-side on the screen.
Experimentors with slower computers can speed up the simulation by
pausing it, selecting
the purple and large green gear wheels, and deleting them by pressing the
delete key. With fewer objects interacting the simulation can now run
faster.
Pressing the
rewind
button returns the simulation to its initial state.