Example Mathematics Worksheet Questions
- Near the muzzle of the three-inch gun the rifling makes one turn per 25 calibers. If the projectile leaves the muzzle with a velocity of 1,700 feet per second, how many rotations about its axis does it make per second?
- The total length of the French 155 mm. cannon is 2.332 m. Express this in calibers
- In rising above the earth's surface the temperature falls about 6 C for each kilometer of altitude up to eleven kilometers and thereafter remains practically stationary. What increase in elevation (to the nearest ten feet) will lower the temperature 1 F
- For a range of 3,000 yards the 3-inch gun is elevated at an angle of 5 5.3' above the line joining gun and target. When fired the projectile actually leaves the gun at an angle of 92.3 mils about this line. How much is the former angle increased by the "jump" of the gun as it is fired
- A scout measures the angle between a line to an object C and the straight road along which he is passing. He proceeds along the road until, 1,300 yards farther, a line to C makes with the road an angle twice as great. How far is he then from C? Note. This is the method used by sailors in "doubling the angle on the bow.
- A reconnaissance officer has an accurate map of the surrounding region but does not know his exact position on the map. He sees two objects A and B, which are shown on the map. He measures the angle between the two points and draws lines through A' and B', the map positions of the two points, to meet at the angle found at some point C' on the map. Show that the true position is on the circle drawn through A', B' and C'. If he recognizes a third point whose map position is known he can get a second circle on which his position lies. His true position is at the intersection of these circles. Note. This is the method of " Italian Resection " used to locate a position with a plane table
- In maps based on English units 1 in. to the mile, 3 in. to the mile, 6 in. to the mile, and 12 in. to the mile, are commonly used scales. Find the representative fractions of these maps?
- 1/63360
- 1121120
- 1/10560
- 115280.
- Find the area of a shrapnel pattern 100 yds. long and 35 yds wide.
- Find the danger space for a horse 15 hands high when the trajectory makes an angle of 252 mils with the ground.
- An observer 2,000 yds. from the battery and 3,540 yards from the target finds the angle between the battery and the target to be 114 degrees. Find the range from the battery to the target.
- Find the range and deflection components of a wind of ten miles per hour blowing from the southwest if the target is due east of the battery.
- How far is the B. C. station from the right gun if the wheel of the gun carriage, which is 56 in. in diameter, subtends an angle of 4 mil?
- Of ten shots fired at a range of 2,500 yds eight are to the right of the target and two to the left of it. What change should be made in the deflection?
BIBLIOGRAPHY
Field Artillery Central Officers' Training School, Camp Zachary Taylor, Kentucky (Instruction Memo. No. 20). Louisville, Kentucky (Courier
Journal Press, 1919). 72 pages.
Field Artillery Central Officers' Training School, Camp Zachary Taylor, Kentucky (Instruction Memo. No. 20). Louisville, Kentucky (Courier
Journal Press, 1919). 72 pages.