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Pendulum clock escapement

Mechanisms · Horology

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How does a swinging weight on a stick keep a clock accurate to a few seconds a week?

A pendulum swings back and forth in almost exactly the same time, every time. A falling weight tries to spin the clock’s gears, and a clever catch called the escapement lets the gears move only one small step per swing. Each step moves the hands forward and gives the pendulum a tiny push so it never stops.

A pendulum clock is an oscillator (the pendulum), an energy source (a falling weight) and a counter (the gear train), linked by an escapement that releases the train one step per beat and gives the pendulum a small push to keep it swinging. In George Graham’s deadbeat escapement the escape wheel is locked motionless except during a brief impulse near the centre of each swing, so the pendulum’s natural period T = 2π√(L/g) sets the rate.

Key facts

Seconds pendulum length
L = g/π² ≈ 0.994 m (T = 2 s, one beat per second)
Escape wheel
30 teeth → 1 rev/min; ½ tooth per beat
Train ratio escape → centre
60 : 1 (64/8 × 60/8)
Typical regulator amplitude
≈ 1.5–2° either side of vertical
Length sensitivity
1 s/day ↔ ≈ 23 µm change in L
Steel-rod temperature error
≈ 0.5 s/day per °C

Parts you can explore (12)

In the 3D model

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