Irvin
Talk Tennis Guru
Just for the fun of it I'm starting to match up 2 rackets and raise the SW by about 10 points. I've taken the strings out and removed the grips, so I'm down to bare rackets. The specs I have now are:
Racket #1 - Weight 305.0 g, Balance 31.3 cm, SW 284.6 Kgcm^2, and TW 13.0 Kgcm^2
Racket #2 - Weight 307.3 g, Balance 31.4cm, SW 288.2 Kgcm^2, and TW 13.2 Kgcm^2
For racket #1 I need to add 2.3 g to raise the TW 0.2 Kgcm^2, SW 3.6 Kgcm^2, and the balance by 0.1 cm. The total inertia I'm adding is 3.8 Kgcm^2 (SW + TW) and I = mr^2 so 3.8 = .0023r^2 so r^2 = 3.8/.0023 and the square root of (3.8/.0023) is 40.65 cm. That point (just below 3&9) is about 12 from the centerline of the racket which raises the TW by (12*12*.0023) 0.3 Kgcm and it is about 39 cm up from the 10 cm pivot which increases the SW 3.5 by (39*39*.0023) 3.6 Kgcm^2. The 2.3 g I added is 49 cm from the butt so the balance increases to [((305.0*31.3)+(2.3*49))/307.3} or 31.4 cm. Since I averaged all my specs down to +/-0.1 I can live with being off by +/-0.1.
The rackets are now matched up very close and anything I do to one I do to the other and they should both end up very much the same. I wanted to also raise the SW by 10 points. I'm going to remove the bumper and place 1/4" lead tape at 68.1 cm so I need [10/(58.1*58.1)] 3.0 g. Once I string the rackets I want to adjust the balance to get an MgR/I of 21.0. I should be able to do that by adding weight to the lower end of the racket.
Questions?
Racket #1 - Weight 305.0 g, Balance 31.3 cm, SW 284.6 Kgcm^2, and TW 13.0 Kgcm^2
Racket #2 - Weight 307.3 g, Balance 31.4cm, SW 288.2 Kgcm^2, and TW 13.2 Kgcm^2
For racket #1 I need to add 2.3 g to raise the TW 0.2 Kgcm^2, SW 3.6 Kgcm^2, and the balance by 0.1 cm. The total inertia I'm adding is 3.8 Kgcm^2 (SW + TW) and I = mr^2 so 3.8 = .0023r^2 so r^2 = 3.8/.0023 and the square root of (3.8/.0023) is 40.65 cm. That point (just below 3&9) is about 12 from the centerline of the racket which raises the TW by (12*12*.0023) 0.3 Kgcm and it is about 39 cm up from the 10 cm pivot which increases the SW 3.5 by (39*39*.0023) 3.6 Kgcm^2. The 2.3 g I added is 49 cm from the butt so the balance increases to [((305.0*31.3)+(2.3*49))/307.3} or 31.4 cm. Since I averaged all my specs down to +/-0.1 I can live with being off by +/-0.1.
The rackets are now matched up very close and anything I do to one I do to the other and they should both end up very much the same. I wanted to also raise the SW by 10 points. I'm going to remove the bumper and place 1/4" lead tape at 68.1 cm so I need [10/(58.1*58.1)] 3.0 g. Once I string the rackets I want to adjust the balance to get an MgR/I of 21.0. I should be able to do that by adding weight to the lower end of the racket.
Questions?