A sailing boat is sailing east at 8.20 miles per hour. The wind seems to blow from the southwest mph in 10.9. What is the true wind speed? What is the true wind speed when the wind seems from the Northeast to 10.9 mph impact?
1. There are two components - One in the direction of the vessel (ie East-West) and perpendicular to the direction of the boat (eg North-South). The north-south component of the wind is 10.9 sin45 = 7.707 Mph. The east-west component is 8.2 + 7.707 = 15.907 hours miles This fact, the ship and the wind in the same direction. 2. If the wind blows from the northeast, then the true speed of the wind was now 8.2 to 7.707 = 0.493 hours miles This is the east-west component and we use relative motion as the ship and the wind are in opposite Directions. The north-south component is the same as before ....
HIGH SPEED ACTION! Amtrak's Southwest Chief in Baring, MO - 6/9/10
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