☰ Contents · Astronomy

Introduction to astronomy. The daily motion of the sky

Lessons 1–3 · 3 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
3

Evidence for the Earth’s rotation. Foucault’s pendulum

Textbook: p. 7
GoalExplain the evidence for the Earth’s rotation and Foucault’s pendulum experiment, and calculate the turning period of its swing plane.
New words
Foucault pendulum · Fuko mayatnigiplane of swing · tebranish tekisligiCoriolis force · Koriolis kuchipolar flattening · qutb siqiqligi
Explanation

In 1851 the French physicist Léon Foucault hung a heavy pendulum on a long wire in Paris and showed that its plane of swing slowly turns relative to the ground. The pendulum keeps its plane of swing, but the Earth beneath it rotates, so the plane seems to turn for an observer. At geographic latitude φ the full turn takes T = 24 hours / sin φ; at the pole T = 24 hours, and at the equator the plane does not turn. Other evidence: the flattening of the Earth at the poles (equatorial radius ≈ 6378 km, polar ≈ 6357 km), the Coriolis force that turns winds and cyclones, the effect on eroded river banks, and the use of the Earth’s spin when rockets are launched eastward. At the equator the rotation speed is about 1670 km/h, and at the latitude of Tashkent (≈ 41°) it is considerably smaller.

Worked examples
At latitude 30° sin 30° = 0.5, so T = 24 : 0.5 = 48 hours. In 12 hours the plane turns 360° · 12 : 48 = 90°.
At the pole the plane turns 360° in 24 hours, so it turns 360 : 24 = 15° per hour.
Class activity

Do not try the Foucault experiment at home (a heavy weight is dangerous). Instead watch a recording or a museum pendulum with an adult and note how the plane turns.

Practice
1
What does Foucault’s pendulum prove?
2
How many hours does the plane take to turn fully at latitude 30°? (T = 24 / sin φ, sin 30° = 0.5)
3
Name two more pieces of evidence for the Earth’s rotation.
4
Why does the Foucault pendulum’s plane not turn at the equator?