Friction Race
A circuit is shaped like an inverted cone as shown. In this area of the race cars in circles?
A circuit has the form of a Inverted cone, since shown. In this area of the race cars in the circles that are parallel to the ground and the surface is at an angle θ = 20 °. For a speed of 28 m / s, what value of the distance d must locate a driver of your car if you want to stay in a circular path without relying on friction? m
A circuit is shaped like an inverted cone, as the development sample. In this area of the race cars in the circles that are parallel the ground and the surface is at an angle θ = 20 °. For a speed of 28 m / s, what distance value d if a driver to locate your car if you want to stay in a circular path without relying on friction. I have seen these at fairs. The faster the car goes, the higher the CAR is moving up The inclined surface of the track. Therefore, we must determine the speed of the car that will keep the car from a distance, d, from the point of the cone vertex. The racetrack It is shaped like an inverted cone, so let's draw a right triangle to represent the slope of the track. Draw a 10 cm horizontal line. Tag end left point A and point B. rightmost Draw a line 10.6 cm, BC, from the point A, which forms an angle of 20 ° to the right of the line AB. While drawing from point A to point C, which move below the point B. Draw a vertical line from point B to point C. You should see a triangle, ABC. The hypotenuse is the AC line. Draw a box (or whatever way you want) in the AC line, approximately halfway point C. Label half point D. Draw a line vertical cm 3, DE, D. below the point end tag point E. This line represents the weight of the car. When the car's speed is 28 m / s, the car moves around in a horizontal circle passing through point D. Draw a vertical line 3 cm, DF, beyond the point D. end tag point F. Since the inclined surface support the car's weight, line DF represents the force exerted by the inclined plane in the car to support its weight. Since the car is not sliding up the incline, a force must be pushing the car down the incline, when the car's speed = 28 m / s. This force is the centripetal force that keeps the car moving in the horizontal circle. Draw a horizontal line 1 cm, FG, from point F to the left at point G. FG line represents the centripetal force. GF line represents the centripetal force that keeps the car in a horizontal circle! Draw the line, the Directorate-General, from the point F to point G. DG line represents the perpendicular force exerted by the inclined plane the car to generate the force exerted by the incline in the car to support its weight and the centripetal force that keeps the car moving in the circle. Now, you see the triangle DFG rectangle. FDG angle = 20 ° line is the hypotenuse DG. Line GF is the side adjacent to the hypotenuse. Line Line GF DF = centripetal force is the side opposite the hypotenuse. Line DF = car weight = mass * 9.8 Thus, as 20 = GF / DF = mass * 9.8 GF * tan 20 = mass of the centripetal force * 9.8 * tan 20 ° Centripetal Force = V ^ 2 * mass radio ÷ Set these two equations equal to each other (and remove mass) 9.8 * tan 20 = v ^ 2 ÷ r ec. # 1. V ^ 2 = r * 9.8 * tan 20 ° a triangle last! The car moves around in a horizontal circle at a distance, d, of point A. Draw a line D horizontal to the left until it is directly above the point A. Draw a vertical line upward from point A to cut the horizontal line. Label the point intersection point H. Triangle HDA is a right triangle with the line AD to its hypotenuse and the angle of HDA = 20 ° line AD is the distance from the apex of the cone to the horizontal circle. DH Line is adjacent to the hypotenuse, the line AD. Line DH is the horizontal radius of the circle. Cos 20 ° = DH / DH = AD * AD cos 20 = DH = horizontal circle radius horizontal distance from the AD circle to the apex of cone, d. equation. # 2 .. r = d * cos 20 ° d * Substitute cos 20 ° for r in Eq. Equation # 1. # 1. v ^ 2 = d * cos 20 ° * 9.8 * tan 20 ° = tan 20 ° sin 20 ° ÷ 20 ° cos v ^ 2 = d * cos 20 ° * 9.8 * sin 20 ° ÷ cos 20 ° cos 20 ° gate v ^ 2 = d * 9.8 * sin 20 ° 28 2 = d * 9.8 * sin 20 ° = 233 d , 9 m era quite the problem! I have a spreadsheet for this problem with the friction that ITTO could send if you wish
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Datang Socks Cluster Development Zone and Industrial Innovation
The three-hour drive away from Shanghai brought more socks Zhuji 200 companies, Datang to city as the center of this region produced one third of the socks in the world.
Datang party secretary in the city, said Yuan Zhigang, Datang Hosiery driving more than 20 million people in employment, the area average, each house has eight half series, the per capita income residents net 70%, directly or indirectly from the knitwear and related industries. Throughout this region, anyone can walk the streets to find a pair of socks needed to produce anything.
In 2005, the U.S. "Los Angeles Times" Zeng Yi Tang reported that the city as an example, the advantage of China has been much beyond cheap equipment, raw materials and labor, these socks industrial cluster zone is like an one-stop production by suppliers supply, manufacturers and contractors are concentrated in a park in the realization of economies of scale, can drive innovation.
However, Yuan Zhigang, told Xinhua that local producers in the textile trade friction socks concerns began last year. Datang socks increase in export volume This year, a fall in the price, the business sector has in preventing anti-dumping local published.
Although only one level boxes base, Yuan Zhigang Quedui trade relations between China and the U.S. are very worried. visit "(U.S. President) Barack Obama to China, there is a clear commitment to minimize the use of antidumping and countervailing duties. "Yuan Zhigang said:" I would not trade problems between China and the U.S., in order not to affect workers' livelihoods. "
Factory orders assigned to the family business of trade friction socks had a painful experience. 1999, Datang Group plant Amway products exported from the United States and Europe this year has removed the quota restrictions. In 2006, Amway 30 million pairs of socks export scale, only a million pairs of assessments.
Amway Group, Knitting Factory Wuwei director Yong said that companies with 500 employees, is also Datang associated with Local 100 factories in the family, but due to exports has been limited, the inventory can not be timely digestion with these plants of the family had to suspend the association.
Statistics Center of China Textile Industry Association data show that the first three quarters this year, Chinese textiles and garments have received from the EU rapid alert system for food is not 153 the date of notification of alert, an increase of 6.29 times. Consumption U.S. Product Safety Commission of the textile and clothing of China issued a total of 21 since the recall, an increase of 10.53%.
Industry knowledgeable estimate that accommodate a large number of work force, China's exports rebound in textile and clothing, it is likely that the next meeting to one of the industries of the friction commercial.
"The family factories and enterprises of this cooperation, to reduce the cost of knitting socks to the limit, the ups and downs of the market, but companies do not have to buy as many machines to support so many people, the cost would have fallen, "said Wu Weiyong," If the U.S. really brought anti-dumping, which rightly appearance, telling Americans the secret of cheap Chinese socks. "
According to statistics, Americans spend an average of averages per person per year in money to U.S. $ 78, according to the current export of U.S. $ 0.3 Datang socks by base pair, all Americans each year may have to buy 260 pairs of socks.
These data allow these may have no opportunity to go to the States United knitwear workers, very surprised, because he wants to put on a pair of socks a few years. "In any case, nobody is going to be barefoot in a day cold, so always be those who need cheap Chinese socks. About the Author
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