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by xpe 1757 days ago
According to "How long would it take to fall through the center of the Earth?" [1], it would take 2 * 42 min = 84 min, ignoring air resistance, and, (probably) survival of the passengers.

[1] https://www.physicscentral.com/explore/poster-earth.cfm

This approximation accounts for this fact: "As you fall there is less and less mass between you and the center so there is less and less to pull you down"

2 comments

More (interesting!) flaws of the 42 minute calculation are shown here: https://www.livescience.com/50312-how-long-to-fall-through-e...

This approximation accounts for non-uniform density of the earth:

> Klotz based his calculations on the internal structure of the planet as determined from seismic data. While the Earth's crust has a density less than about 187 lbs. per cubic foot (3 grams per cubic centimeter), Earth's center has a density of about 811 lbs. per cubic foot (13 grams per cubic centimeter). The density of the planet does not rise in a straightforward manner the farther down one goes — there is a sharp 50 percent increase in density at the boundary of the planet's mantle and its outer core about 1,800 miles (2,900 km) below Earth's surface.

> Now, using a more realistic model of the Earth, Klotz finds the fall would take only about 38 minutes and 11 seconds, about 4 minutes faster than thought.

Why wouldn't the passengers survive? Even though they will reach terrifying speeds, at no point will their acceleration exceed a relatively gentle 9.8ms^-2
it gets quite warm down there.