Dear friends,
I hope you are all well.
How to know the speed/velocity of your Slingshot(setup).
We will use PHYSICS and projectile motion of the ammo to get the speed accurately.
The steps
1) Measure the Height from ground to anchor point, say it is H
2)Shoot the ammo with your Slingshot horizontally i.e parallel to the ground without angle with a speed/velocity V.
It will have a curved trajectory until it will hit the ground at a distance D from where you are standing below your anchor point at origin. This horizontal distance covered is called Horizontal range
To get this distance D, You may have a wall of any material to shoot at.
Stand say 25 meters from the wall, shoot at the wall horizontally.At first your ball bearing will hit more or less at the middle of the wall. Go back to say 30 meters, shoot at the wall you will see a drop. Go back until your ball bearing hits at the bottom of the wall and the ground cleanly without rolling. If this happens at 35 meters from origin to the bottom of the wall, your D will be 35 meters.
3) To know the time t to reach the ground at the bottom of the wall. This time t is the same to the time of the ball bearing to fall freely the
height H (from anchor to your feet at origin) by gravity with acceleration g equal to 9.8m/s/s.
Vertical displacement of ball bearing to fall freely is given by
y=y1+v1*t+1/2gt*t
solving this equation for t
0=H+0*t+1/2*g*t*t
0=H+1/2*-9.8*t*t
t=square root((2*H)/g))
if we put the known values
t=sqrt((2*1.53)/9.8))
if my anchor point to my feet is 1.53 meters at the corner of the mouth
t=0.56 seconds
Slingshot velocity =Range/t
Slingshot velocity=D/t
Slingshot velocity=35meters/0.56 second
Slingshot velocity=62.5meters/second
Please verify it with your chrony and let me know.
Thanks very much
Have a very nice day
Best regards,
Ahmed
I hope you are all well.
How to know the speed/velocity of your Slingshot(setup).
We will use PHYSICS and projectile motion of the ammo to get the speed accurately.
The steps
1) Measure the Height from ground to anchor point, say it is H
2)Shoot the ammo with your Slingshot horizontally i.e parallel to the ground without angle with a speed/velocity V.
It will have a curved trajectory until it will hit the ground at a distance D from where you are standing below your anchor point at origin. This horizontal distance covered is called Horizontal range
To get this distance D, You may have a wall of any material to shoot at.
Stand say 25 meters from the wall, shoot at the wall horizontally.At first your ball bearing will hit more or less at the middle of the wall. Go back to say 30 meters, shoot at the wall you will see a drop. Go back until your ball bearing hits at the bottom of the wall and the ground cleanly without rolling. If this happens at 35 meters from origin to the bottom of the wall, your D will be 35 meters.
3) To know the time t to reach the ground at the bottom of the wall. This time t is the same to the time of the ball bearing to fall freely the
height H (from anchor to your feet at origin) by gravity with acceleration g equal to 9.8m/s/s.
Vertical displacement of ball bearing to fall freely is given by
y=y1+v1*t+1/2gt*t
solving this equation for t
0=H+0*t+1/2*g*t*t
0=H+1/2*-9.8*t*t
t=square root((2*H)/g))
if we put the known values
t=sqrt((2*1.53)/9.8))
if my anchor point to my feet is 1.53 meters at the corner of the mouth
t=0.56 seconds
Slingshot velocity =Range/t
Slingshot velocity=D/t
Slingshot velocity=35meters/0.56 second
Slingshot velocity=62.5meters/second
Please verify it with your chrony and let me know.
Thanks very much
Have a very nice day
Best regards,
Ahmed
