#Is this trig question correctly solved?

6 messages · Page 1 of 1 (latest)

late condor
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Hi! I'm not sure whether I did this right and my solution is correct.. Can anyone please verify?

Angular speed = 2Pi/24 = 0.26 rad/h
Arctic Circle radius = 1575 miles

What is the linear speed of an object in the Arctic Circle in mph?

2Pi rad 2Pi rad * 1575 miles
-------- * -------------- = 412.33 mph?
24 h 2Pi rad

sly goblet
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no

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the linear speed is given by the radius times the angular speed in this kind of situation

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so you just multiply the two things

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to understand: the angle goes from 0 to 2pi (one full circle) in 24h, based on the angular speed (= 2pi/24), so in 24h it travels 2*pi*1575 miles around (length of the circle), so you just divide this length by 24h to get the result in mph

late condor
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I see! So the correct answer would be: 412.125 mph?