Grip It and Rip It!

Explorations in Golf Ball Indentations

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Analysis

        The goal of our experiment was to measure the velocity of a golf ball after being hit with a driver. To measure velocity you simply need two measurements: distance and time. Using a double exposure, like the one showed below, we were able to find the distance the ball traveled. To convert the distance in the picture to actual distance we used the known diameter of the ball, the diameter in the picture, and the distance the ball traveled in the picture. To find the time it took the ball to travel that distance, we used a rotating disc at a fixed frequency. The frequency, which we determined using a stroboscope technique, was 54.7 Hz. We captured a double exposure image that showed two lines at the same time interval as the other double exposure. We used the distance, frequency, and the angle of the two lines to determine the velocity of the ball with the equations below.

D = .076 m                                 Distance in photo = 7.6 cm = .076 m
Frequency = 54.7 Hz
Period = 1 / f                             Avg. ball diameter in photo = 2.4 cm = .024 m
Period = .0183                         Actual ball diameter = 1.68 in. = .0427 m
Avg. Angle = 40°
 


t / period = angle / 360°        (Actual distance / distance in photo) =
                                                     (Actual distance / ball diameter in photo)
t = period( angle / 360° )
                                                     Actual distance =
t = .0183s ( 40° / 360° )          (Distance in photo) * (Actual ball diameter / ball diameter in photo)

t = .00203 seconds                 Actual distance = (.076 m) * ( .0427 m / .024 m )

                                                     Actual distance = .135 m

Velocity = (distance / time )
v = d / t

v = ( .135 m ) / ( .00203 s)

 

v = 66.5 m/s

v = 148.76 mph



 

Home

Method

Analysis 

Discussion of Results

Conclusion

Photo Gallery

Photo Journal

Appendix

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Drew Courtright and Tate Rogers