QuirkScience

What If You Dug a Hole Through the Earth and Jumped In?

Watch on YouTube

Season 3: Down to the Core · Posted ·

The short answer

About 38 minutes. If the hole had no air in it, you'd fall all the way through and stop exactly at the far end, 38 minutes after you jumped. The space station needs about 46 minutes just to get halfway around the planet. Then you'd fall back.

Gravity speeds you up all the way to the middle, where you pass through at about 9.9 km a second (about 22,000 mph). That's roughly 30 percent faster than the space station flies. Past the middle, the same pull slows you down, and you stop at the far end with no speed left.

Why 38 minutes, not 42

Many people learned 42 minutes. That number assumes the Earth has the same density all the way through. It doesn't. The planet is denser in the middle than near the surface, so the pull stays strong as you fall. It even grows, from 9.82 m/s² at the surface to 10.69 m/s² at the top of the core, about 2,900 km down. Only inside the core does it fade, to zero at the exact center.

Klotz worked it out in 2015: 38 minutes 11 seconds on the real Earth, 42 minutes 12 seconds on a uniform one. Our own calculation, from a standard model of Earth's interior, gets the same 38 minutes 11 seconds.

Why the real trip would end early

With no air and no friction, you'd swing back and forth forever. Rubbing on the walls takes a little off every trip, so each swing is shorter, until you stop in the middle.

Real air ends it much sooner. You'd reach your top falling speed within seconds, and the air lower in the shaft gets squeezed so thick under its own weight that you can't fall through it. You'd get no deeper than about 175 km, nowhere near the middle.

Then there's the heat. Near the inner core it's about 6,000 °C. The Sun's surface is about 5,500 °C (9,930 °F). Walls that hot give off 25,000 to 50,000 times the heat of full sunlight, and an empty shaft doesn't stop it. A real apple wouldn't bake. It would turn to vapor.

And the Earth spins. Unless the hole ran from pole to pole, the spin would push you into the wall early in the fall.

Where you'd come out

The film's hole starts at the Kola Superdeep Borehole in Russia, at 69.4°N, 30.6°E. Straight through the Earth from there is 69.4°S, 149.4°W: open Southern Ocean about 4,400 m deep, roughly 790 km north of the coast of West Antarctica. Around Antarctica, sea ice is largest in September and smallest in late February or early March.

Key numbers

WhatNumberSource
Time to fall through the real Earth, with no air and no spin38 min 11 sKlotz 2015
The same fall if Earth had the same density all the way through42 min 12 sKlotz 2015
Half an orbit of the space stationabout 46.5 minOur arithmetic from CelesTrak ISS orbital elements, 2026
Speed of the space station7.66 km/s (about 17,100 mph)Our arithmetic from CelesTrak ISS orbital elements, 2026
Your speed passing the center of the Earthabout 9.9 km/s (about 22,000 mph)Our arithmetic from Dziewonski and Anderson 1981
Gravity at the surface, and at its peak at the top of the core, about 2,900 km down9.82 m/s² at the surface, 10.69 m/s² at the peakOur arithmetic from Dziewonski and Anderson 1981
Temperature at the inner core boundaryabout 6,000 °C (6,230 K, give or take 500 K)Anzellini et al. 2013
Temperature of the Sun's surfaceabout 5,500 °C (9,930 °F)IAU 2015 Resolution B3
Heat given off by walls at 5,000 to 6,000 K25,000 to 50,000 times full sunlightOur arithmetic from Anzellini et al. 2013
Depth past which real air in the shaft is too dense to fall throughabout 175 kmConcannon and Giordano 2016
Ocean depth at the far end of a hole from Kola, 69.4°S, 149.4°Wabout 4,400 mGEBCO 2020
Antarctic sea ice: largest and smallestlargest in September, smallest in late February or early MarchNOAA Climate.gov, Antarctic sea ice extent

What the film simplifies

At a glance

Runtime 1 minute 3 seconds · Topics: Gravity, Earth's interior, Orbits · Captions on YouTube · Full script below

Test yourself

  1. Why does the fall take about 38 minutes on the real Earth but 42 minutes on an Earth with the same density all the way through?

    Answer

    The real Earth is denser in the middle than near the surface, so gravity stays strong, and even grows, as you fall toward the core. You pick up speed sooner and finish the trip faster.

  2. Where on the way down is the pull of gravity strongest, and where is it zero?

    Answer

    It is strongest at the top of the core, about 2,900 km down, at 10.69 m/s². It is zero at the exact center, where the pull from every side cancels out.

  3. With no air and no friction, why does the apple stop exactly at the far end, not fly out of the hole?

    Answer

    Gravity speeds him up on the way to the middle and slows him by the same amount on the way out. So he rises to exactly the height he started from, with no speed left.

The script

Host: What if you dug a hole through the Earth and jumped in?

Rocket: Race you to the other side, Grandpa!

Host: Rocket flies around the planet as fast as the space station.

Host: The apple just falls.

Gravity: My apple! Come here!

Host: Gravity pulls him faster and faster

Host: and through the middle he goes faster than the space station!

Host: It's as hot as the surface of the Sun down there

Gravity: No! Come back!

Host: Now Gravity is pulling him back so he slows down

Host: and stops right at the other end

Host: 38 minutes

Rocket: 46 minutes! New record! Wait What

Host: An apple with no engine just beat a rocket

Host: With no air in the hole he'd fall back And forth Forever

Gravity: Hi! Bye! Hi! Bye!

Host: But every bump on the walls slows him a little more until he stops in the middle

Gravity: Mine!

Rocket: Best of three!

Gravity: Both mine!

Host: No air in the hole so nothing slows him down

Host: About 22,000 miles an hour

Host: In the sea ice off Antarctica

Sources

All sources for every film

Watch next