1. (4 points) (Text 10.52) A gyroscope on the Moon. A certain gyroscope precesses at a rate of 0.800 rad/s when used on Earth. If it were taken to a lunar base, where the acceleration due to gravity is 0.165g, what would be its precession rate?

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We have that for the Question "A gyroscope on the Moon. A certain gyroscope precesses at a rate of 0.800 rad/s when used on Earth. If it were taken to a lunar base, where the acceleration due to gravity is 0.165g, what would be its precession rate?"

it can be said that

  • Its precession rate = [tex]0.132rads/s[/tex]

From the question we are told

A certain gyroscope precesses at a rate of 0.800 rad/s when used on Earth. If it were taken to a lunar base, where the acceleration due to gravity is 0.165g

The equation for Torque is mathematically given as

[tex]T = mgl = \frac{dl}{dt}[/tex]

Therfore,

New rate of change in momentum

[tex]= 0.165 * 0.8\\\\= 0.132rad/s[/tex]

Therefore, the new precession rate

[tex]= 0.132rads/s[/tex]

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