High Speed Video Interpretation of Impacts on the Serve
Reference the ball position by the guy in the white T-shirt in the stands behind Rionic. On frame 1 & 2 the ball is falling and lines up with his arm. On frame 3 the ball has considerably moved forward. The ball impact was after the exposure of frame 2 and before the exposure of frame 3, as bhpaes said.
There are some replies in this thread on the angle of the racket face at impact on the serve. Some considerations for our amateur analyses of single camera 2D high speed videos of ball impacts on the serve -
I recently realized some timing issues when looking at 240 fps frames of the ball impact on the serve. This involves the frame before contact, the frame with contact (or closest in time to contact) and the frame after contact. It explains some things seen on many high speed videos in the 200-300 fps range such as usually seeing the ball in contact with the strings.
To illustrate, assume that the frame rate is 240 fps and the shutter speed is very fast such a 1/10,000 sec (motion blur is not significant).
(1/1000 sec (one millisecond) is a suitable unit for time)
1) At 240 fps the camera takes a frame every 4.2 milliseconds.
2) The shutter speed is only 0.1 millisecond. (At 100 MPH an object moves 1760"/second and with a 1/10,000 sec shutter speed the motion blur across the frame would be 0.176" - you can see the racket sharply.)
3) The contact time for the ball, that is, for the ball and strings to deform and then separate - is usually estimated in the 3-5 millisecond time range. Assume it's 4 milliseconds for this discussion.
Then a frame is taken 4.2 milliseconds and the ball is in contact with the strings for about 4 milliseconds. This explains why I almost always see just one frame showing ball impact when using 240 fps.
Earlier in this thread there was some discussion of whether the racket was slightly open or closed at impact. This issue is probably very important as to whether the serve is good or a fault.
This issue cannot be answered with high speed video at 240 fps, a higher frame rate is necessary.
Another interesting point is the very high angular rate at which the racket is rotating tip over handle:
For 240 fps nearly always
1) The frame before impact the strings face up - open.
2) The frame with impact is near vertical but because of the slow 240 fps frame rate we don't know at which point during the 4 milliseconds of contact the frame was taken. Needs more analysis since contact last 4 milliseconds and the racket is rotating about 12° in that time. See measurement below.
3) The frame after impact the racket face is closed.
How much are these before-and-after impact angles and what is the rotation rate of the racket?
Raonic serve similar to that in reply #39 video (240 fps) - measure the angles before, during and after impact.
1) Frame before impact: -14°
2) Frame with impact: -2° (note this impact frame appears to be late, the ball is displaced and almost separated from the strings.)
3) Frame after impact: +13°
In the frame time before impact the racket would have traveled about 12° in 1/240 seconds and was still open 2°. The racket appears to travel 15° after impact - inaccuracy in these crude measurements of a 3D moving object with a 2D camera (?) or maybe the racket continued to accelerate. ?
The frame before impact to the frame of impact gives an angular rotation rate for the racket (as viewed by the 2D camera) of
12°/0.0042sec =
2860°/sec
Does this rotation rate result from the wrist flexion during the final approach to the ball when the forearm-racket angle
β goes from about 90° to, say, 25° at impact. ?
See Table 2 Wrist Flexion
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2577481/