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Mathigon에 로그인

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Circles and PiRadians Distance

Distance Travelled

You can think of radians as the “distance traveled” along the circumference of a unit circle. This is particularly useful when working with objects that are moving on a circular path.

For example, the International Space Station

The International Space Station (ISS) was launched in 1998 and orbits Earth at an altitude of approximately 400 km. It is the largest human-made body in low Earth orbit, and has been inhabited continuously since launch. It can be seen with the naked eye from Earth.

orbits Earth once every 1.5 hours. This means its speed of rotation is ???
 radians per hour.

In a unit circle

A unit circle is a circle with radius 1.

, the speed of rotation is the same as the actual speed, because the length of the circumference is the same as one full rotation in radians (both are 2π).

The radius of the ISS orbit is 6800 km, which means that the actual speed of the ISS has to be ???

= 28483 km per hour.

0π
0h
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