The red stripe on a barber poles makes 2 revolutions around the pole. If the pole is 1m high and 16 cm ?

The red stripe on a barber poles makes 2 revolutions around the pole. If the pole is 1m high and 16 cm in diameter, what angle does the stripe make with the horizontal? What is the length of the stripe?The red stripe on a barber poles makes 2 revolutions around the pole. If the pole is 1m high and 16 cm ?
If we open up the pole, we will get a rectangle,





just picturize this - the strip is around the pole, when it opens up, then there will be a straight line connecting the oppposite ends of the rectangle.





also the length of the rectangle is 1 m


and the diagonal =2 revolutions = 2 * 2pir


= 4 * pi * 16/2 /100= 32 pi/100 meters





now angle with the horizontal -%26gt;


sin A = 100 / (32pi)


A = 82.3 degrees





also the length of the strip is 32 pi/100 = 1.005 metersThe red stripe on a barber poles makes 2 revolutions around the pole. If the pole is 1m high and 16 cm ?
Take the first meter of the pole (enough for 1 full revolution of the stripe) and open it out to make a rectangle. We are left with a right-triangle, the height = 1m, the base = 0.16蟺m. From that:





tan螛 = 1/0.16蟺


螛 = tan^(-1)1/0.16蟺


螛 = 63.31 degrees





The length of the stripe is the length of the hypotenuse of our triangle, times 2 because we chopped the pole in half.





= 2 * 鈭歔1虏 + (0.16蟺)虏]


鈮?2.238m