The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This slightly changes the effective acceleration due to gravity. We can call the old acceleration due to gravity go and the effective acceleration geff: a. Show that the angle between go and geff can be expressed as 2R sin(0) cos(e)\ P = tan-1 9o - Ns/s,R sin2 (0) where e is the angle between the angular velocity of earth and the position of the mass near the surface of the earth. b. How small that o if e is 45° and R is the radius of the earth. Ns/So m Tm/S
The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This slightly changes the effective acceleration due to gravity. We can call the old acceleration due to gravity go and the effective acceleration geff: a. Show that the angle between go and geff can be expressed as 2R sin(0) cos(e)\ P = tan-1 9o - Ns/s,R sin2 (0) where e is the angle between the angular velocity of earth and the position of the mass near the surface of the earth. b. How small that o if e is 45° and R is the radius of the earth. Ns/So m Tm/S
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Transcribed Image Text:The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth.
This slightly changes the effective acceleration due to gravity. We can call the old
acceleration due to gravity go and the effective acceleration geff:
a. Show that the angle between go and geff can be expressed as
2R sin(0) cos(e)\
P = tan-1
9o - Ns/s,R sin2 (0)
where e is the angle between the angular velocity of earth and the position of the
mass near the surface of the earth.
b. How small that o if e is 45° and R is the radius of the earth.
Ns/So
m
Tm/S
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