A student who is currently studying in class gets excited to learn about projectiles and decides to test one out himself. He buys a ball throwing cannon for this purpose whose angle and velocity can be adjusted accordingly. He throws the projectile from a point on the ground at a velocity at an angle .
He expects that he would get the exact range but the observed range is somewhat different. Let the percentage difference in the range of the projectile be . Then find
Details and Assumptions
1)Consider only stokes drag, no newtonian drag.
2)Co-efficient of viscosity of air(Dynamic Viscosity) =
3)Mass of the ball , Radius of the ball
3)Calculate percentage difference as :
4)Range is calculated as the distance between the points when the centre of sphere were at the same point when it touched the ground. See diagram.