Two runners are racing around a cicular track. The first runner is in the inside lane. The second runner is in the outside lane. If the first runner wants to stay side-by-side with the second runner, what does her angular velocity need to be?.

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25-10-2022
Physics

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Two runners are racing around a cicular track. The first runner is in the inside lane. The second runner is in the outside lane. If the first runner wants to stay side-by-side with the second runner, what does her angular velocity need to be?.

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contexto1005 contexto1005 · Answer 1 · 2022-11-07T04:10:31-05:00

If the first runner wants to stay side-by-side with the second runner, The angular velocity needs to be the same as they would then cover equal angular distance for a period of time.

An equal angular distance means that it would always be side to side.In order to do this, the first runner needs to run at a faster speed than the second runner. This is because the second runner is running in a larger circle than the first runner, so she covers more ground in the same amount of time. The first runner needs to make up for this by running at a faster speed.

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