Ok, one of the first major obstacles I have concerning the design of the escapement is figuring out the arc of the pendulum. I mean what importance the mass has in the escape mechanism therefore what arc the pendulum will produce.

Point about pendulums. If the bob is heavier than the smaller the swinging angle will be. The lighter the bob than the bigger the swing of the pendulum.

I have a formula but it doesn’t tell me what I need to know. Here is what I have. I got it from my TI-89 graphing calculator. Actually there is a free app. For my TI-89 called“, Mechanical Pro-Engineeer”

Simple Pendulum

Tp = 2*pi*sqrt(L/grav)

Ten = -m*grav*cos(theta)

Fr = m*grav*sin(theta)

freq = 1/Tp

Phusical Pendulumm (tends to be more accurate, and since the pendulum looks rigidly connected to the parts in front probally more so.)

tr = m*grav*h*sin(theta)

Tp = 2*pi*sqrt(Ip/(m*grav*h))

Fr = tr/h

Theta...Displacement angle

Tr........Restoring torque

Fr........Restoring force

freq.....Frequency

grav....Gravitation acceleration constant

h.........Distance from the pivot to the center

Ip........Rotational inertia

L.........Length

M.........Mass

Don’t let the above intimidate you. I have taken university level Calculus I and II, but am no math wiz(actually forgot most). I let the calculator do all the work and all you really need to know is the length you want the pendulum and or the oscillations( for a 30 tooth escapement you need 30 two second oscillations) plus the weight of the pendulum bob or the entire mass and its center point.

Things I don’t understand:

1. does the bob weight need to be of a certain weight to create the enery needed for the recoil and how much would that be? Is there a formula?

2. does the bob weight need to be of a certain weight to over come friction in the system or will the drive weights(in the case of jrbeall’s clock, those springy things) do this part?

3. Is there an ideal/standard weight or FORMULA for figuring any part of this with horological applications?

YEP, you guessed it. I love FORMULAS, PRACTICAL THEORY, and STANDARDS.

If you have anything that even looks like that than please send me.

Anyway, I can figure out the arc but am not sure what the role of the pendulum mass plays in the hole thing. I believe the arc is important, because it will directly effect the movement of the pallet and effect the location of the escapement wheel.