The Podcast investigates how the length of a putt on a sloped green compares to that on a flat green. The authors develop a formula to correct the putt length, taking into account the friction during both sliding and rolling of the ball. They demonstrate that this correction formula is highly accurate and consistent with experimental measurements. Finally, they conclude that a simplified formula, which only considers rolling, is sufficiently accurate for practical purposes. The correction of the putt length, considering only the rolling motion, is more than sufficiently accurate for practical purposes. To calculate the total length of a putt, the trajectory can be divided into a sliding phase and a rolling phase. However, the correction depends on the ratio between sliding friction and rolling friction, which is not typically measured on golf courses.
When considering the entire trajectory as "pure rolling," the correction formula simplifies as follows: