My Notas The angular o entu vector of a o ecessing gyroscope s eeps a co e as sh

Question

My Notas The angular o entu vector of a o ecessing gyroscope s eeps a co e as show in e rigure below The angular speed or the tip of the angular mon entu vector, caled its o ecessio al frequency, is ven br is the magritude of its ngular momentum. In the motion caled precess an ofthe suncees tho Earth's axis of rotation precesses about the perpendicular to its orbital plane ith period of 2.38 x 104 yr. Mc e the Earth causing this precession. herer is the magnitude of the torque on the eroscope and L un or phere and calculate the torque on the Earth that s Need Help? Read it

Explanation / Answer

p = 2/T = 2 / 25800yr
L = I* = (2/5)mr² * 2 rads/yr

= L*p = (2/5)mr² * 2rad/yr * 2/25800yr
= (2/5) * (5.98e24kg) * (1.5e11m)² * (4²/25800yr²) * (1yr/365.25d)² * (1day/24h)² * (1h/3600s)²
= 8.27e28 N·m

Hope this helps!

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