Chas Tennis
G.O.A.T.
These posts relate to where the ball is first contacted by the racket and how closed the racket is. How the racket first contacts the ball is of interest for the kick serve - the subject of this thread. Posted for reference.
Earlier post.
https://tt.tennis-warehouse.com/ind...release-on-the-fh.568436/page-3#post-10754089
Where on the ball is first contact for a closed racket with given angle?
Working on this and just found the interactive circle.
When considering the racket impacting the ball, first contact is like a plane touching a sphere. When a plane touches a sphere the plane is always perpendicular to the radius of the sphere at the contact point. This fact allows us to know where on the ball the contact point is located.
For example, if a racket face is closed by 10 d. how far into the top half of the ball is the first contact point located? ("Closed 10 d" means that the top edge of the racket is forward of vertical so that the racket has an angle of 10 d to the vertical.)
Here is an example of calculating the height Y.
Below is an "interactive circle" to give you the result instantly.
1) The circle represents the ball,
2) the green line represents the racket angle,
3) the red line is the height into the top half of the ball for first contact.
4) the angle indicated is how closed the racket is. Work only in the 0 to 90 d angle range.
Place and move the arrow so that 10 d. appears in sin (10) and the red line gives you the height for a circle of radius 1. (the 'unit circle') For a tennis ball, multiply by the radius of the tennis ball. The interactive circle, move the angle around -
https://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html
When the racket angle is closed by 10 d the ball is impacted just above, Y, the horizontal line around the ball -
Y= ball radius X sin 10 d
Y= 1.3" X 0.174 = 0.22" or 0.6 cm (it's going to look neither high or low for 10 d.)
Fortunately, the racket angle itself indicates the first contact point so that we don't have to video this small spot itself to know where it was.
The racket angle should be closed for a kick serve at first contact - but we don't know by how much.
This works as well for the inside out forehand, where the racket angle is as seen from above. You have to define where 0 d is. Based on ball trajectory or court lines............?
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Earlier Post.
https://tt.tennis-warehouse.com/ind...release-on-the-fh.568436/page-3#post-10754837
Draw a horizontal ring around the tennis ball, a diameter.
A racket that is closed 10 d should contact the ball at a point 0.22" above that horizontal ring. You could draw a line around the ball on a diameter. Touch the Sharpie to the ball at 0.22" above the line.
The racket could approach the ball from various side angles (azimuthal angles). If closed 10 d the contact points would all fall 0.22" above the horizontal diameter.
Someone could plot the distance vs closed angle for various angles of a closed racket.
It is just like the lines of latitude on the earth.
See how close 10 d is to the Equator.
But we still don't know high into the top half of the ball the typical kick serve is first contacted.
I think this might imply that string type and tension will have a larger effect than the first contact angle. ?
Earlier post.
https://tt.tennis-warehouse.com/ind...release-on-the-fh.568436/page-3#post-10754089
Where on the ball is first contact for a closed racket with given angle?
Working on this and just found the interactive circle.
When considering the racket impacting the ball, first contact is like a plane touching a sphere. When a plane touches a sphere the plane is always perpendicular to the radius of the sphere at the contact point. This fact allows us to know where on the ball the contact point is located.
For example, if a racket face is closed by 10 d. how far into the top half of the ball is the first contact point located? ("Closed 10 d" means that the top edge of the racket is forward of vertical so that the racket has an angle of 10 d to the vertical.)
Here is an example of calculating the height Y.
Below is an "interactive circle" to give you the result instantly.
1) The circle represents the ball,
2) the green line represents the racket angle,
3) the red line is the height into the top half of the ball for first contact.
4) the angle indicated is how closed the racket is. Work only in the 0 to 90 d angle range.
Place and move the arrow so that 10 d. appears in sin (10) and the red line gives you the height for a circle of radius 1. (the 'unit circle') For a tennis ball, multiply by the radius of the tennis ball. The interactive circle, move the angle around -
https://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html
When the racket angle is closed by 10 d the ball is impacted just above, Y, the horizontal line around the ball -
Y= ball radius X sin 10 d
Y= 1.3" X 0.174 = 0.22" or 0.6 cm (it's going to look neither high or low for 10 d.)
Fortunately, the racket angle itself indicates the first contact point so that we don't have to video this small spot itself to know where it was.
The racket angle should be closed for a kick serve at first contact - but we don't know by how much.
This works as well for the inside out forehand, where the racket angle is as seen from above. You have to define where 0 d is. Based on ball trajectory or court lines............?
----------------------------------------------------------------------------------------
Earlier Post.
https://tt.tennis-warehouse.com/ind...release-on-the-fh.568436/page-3#post-10754837
Draw a horizontal ring around the tennis ball, a diameter.
A racket that is closed 10 d should contact the ball at a point 0.22" above that horizontal ring. You could draw a line around the ball on a diameter. Touch the Sharpie to the ball at 0.22" above the line.
The racket could approach the ball from various side angles (azimuthal angles). If closed 10 d the contact points would all fall 0.22" above the horizontal diameter.
Someone could plot the distance vs closed angle for various angles of a closed racket.
It is just like the lines of latitude on the earth.
See how close 10 d is to the Equator.
But we still don't know high into the top half of the ball the typical kick serve is first contacted.
I think this might imply that string type and tension will have a larger effect than the first contact angle. ?
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