A 36,000 km long cable extends from the surface of the Earth into space (geostationary orbit).
If the cable's mass per unit length is
𝜆
=
0.5
kg/m
λ=0.5kg/m, calculate the tension at the base and at the top.
(Use
𝑔
=
9.8
m/s
2
g=9.8m/s
2
, Earth's radius
𝑅
=
6.4
×
10
6
m
R=6.4×10
6
m)
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We have a space cable problem. A thirty-six thousand kilometer long cable extends from Earth's surface into geostationary orbit. The cable has a mass per unit length of zero point five kilograms per meter. We need to calculate the tension at the base and at the top of this cable.