The Rope Around the Earth Problem - William Whiston

Geometry Level pending

Imagine,a rope is tied snugly around the Earth's equator

like a ring on person's finger . Now imagine lifting off this

very long rope,cutting it somewhere so an extra rope of

1 meter is placed back around the equator . A gap will form

between the Earth's surface and the rope all around.What

is the magnitude of this gap?

Approximately 14 cm Approximately 16 cm Approximately 15 cm Approximately 17 cm

Sin Ndt by SIN NDT , 14, Vietnam

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1 solution

The width of the gap is 1 2 π ≈ 0.1591549 \dfrac{1}{2π}\approx 0.1591549 m. or ≈ 15.9 \approx 15.9 cm. or ≈ 16 \approx \boxed {16} cm.

1 Helpful 1 Interesting 1 Brilliant 0 Confused

Same way as I did .

Nikola Alfredi - 1 year, 3 months ago

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