Mathhhh. Functions question--d'Artagnan.? - pond water wheel
D'Artagnan (The Three Musketeers FAME) is involved in a sword fight with some thugs in a water-grain Cardinal. To Boldy flight jumped out the window to the floor on top of the rotation of the water wheel. Unfortunately for D'Artagnan, one of his spurs in the heel is in the water wheel, you jump from in order to put the security prevented. The water wheel is roating one revolution per minute and has a diameter of 8 meters. Due to the floods in the lower edge of the wheel, plunged to the pond water under 2 feet of water.
How long before entering the pond D'Artagnan?
Wide (arc length of stay, measured in meters) before it reaches the pond?
Far (secant / chord travel) measured length in meters before they reached the pond?
How long did you hold your breath under water?
Wednesday, January 6, 2010
Pond Water Wheel Mathhhh. Functions Question--d'Artagnan.?
1 comment:
Since the underside of the wheel is 2 meters high Ferris wheel touched 120 degrees from the top. Allow 1 / 3 of the revolution. Min As the wheel rotates at 1 rpm, 1 / 3 is 20 seconds.
The distance between the upper edge so that water is 1 / 3 of the scale. 1 / 3 of 8PI = 8.4 meters.
Applying the theory of Pythagoras, the length of drying can be found of the upper arc of 120 degrees. Divided by 120 and divide the angle of the base of the triangle. The result is a 30-60-90 with 4 hypotenuse. No. 60 / B = sin 90 / 4. This gives the length of the base (B) = 4 sin 60 or 3.46. Fold this gives the length of the secant:
7 meters
In addition, the water for 120 degrees of the wheel. As before, 20 seconds counts, depending on the size?
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