Projectiles for Military Pentathlon
 Technical Projectile Data
 Projectiles for Military Pentathlon
 | PMP Sport ApS | Maglemølle 83 | 4700 Næstved | Denmark | E-mail: info@pmp-sport.com | Tel. +45 5127 2679 |
 Throwing projectile for female competitors
 Weight................................................375 grams (weight tolerence +/- 25 grams)
 Throwing projectile for male competitors
 Weight................................................575 grams (weight tolerence +/- 25 grams)
 Our projectiles are of course produced according to the CISM regulations and the product drawings below are also available on the CISM homepage.
 Calculations for Vertical MovementIn order for a body (in this case the projectile) to move vertically upwards an initial speed Vov is required.On its way up the body is affected by the gravitational acceleration g, which will brake the body.The air resistance will act in the same direction as g (deceleration).When the final velocity Vv equals 0, the body has reached its final height h, and then the vertical downward movement will immediately begin with the initial speed = 0.On its way down the body is affected by g, which will increase the speed.The air resistance will act in the opposite direction of g (deceleration).Final speed is reached when the body is at the same height from which it started.As the air resistance is difficult to calculate (depends on air pressure, humidity, body shape, speed and surface) it has not been included in the calculations for projectile throwing.Calculations for Projectile ThrowingWhen a projectile is thrown, it will always be under some angle to the horizontal (45 degrees will - everything else being equal - give the longest throw).The initial speed Vo will be subject to direction, and it dissolves in two composants: Vov = vertically, Voh = horizontally (trigonometry).Firstly, we calculate what happens in vertical direction. Time is calculated for the upward movement. Time is calculated for the downward movement (with no air resistance the two are equal).The total time of movement upwards and downwards equals the sum of the two times.Secondly, we calculate what happens in horizontal direction. Ignoring any air resistance the velocity in horizontal direction is constant, and the total horizontal distance L_total can be found as product of Voh and total time.Example: