Calculating Putt Break Over Distance w/ Friction

In summary, to calculate how much a putt would break over a given distance, you would need to have the equation of the surface and the equation for friction in terms of velocity. By computing the gradient of the surface, you can determine the slope behavior and the force on the ball. Then, you would solve differential equations, taking into account the initial conditions of the ball's starting point and velocity. However, this method may not be practical for a real-life green since the equation for the surface may not be known.
  • #1
DylanB
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How would you go about calculating how much a putt would break over a given distance without neglecting friction?

EDIT: I've realized this would be more appropriate in the coursework section, unforunately it's too late now.
 
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  • #2
You'd need the equation of the surface [tex]f(x,y)[/tex] along with the equation for friction in terms of velocity, like [tex]F = -kv^{2}[/tex]. You'd compute [tex]\nabla f[/tex] which would give you the slope behaviour (so you can work out the force on the ball) and then it's just solving differential equations, including your initial conditions (where the ball starts and it's initial velocity).

For a real life green this isn't practical since you don't know f(x,y).
 
  • #3


To calculate the break of a putt over a given distance, you would need to consider several factors, including the slope of the green, the speed of the green, and the friction of the grass. Here are the steps you can follow to calculate the putt break without neglecting friction:

1. Determine the slope of the green: The first step is to assess the slope of the green where you will be putting. You can do this by standing behind the ball and looking at the green from different angles. Note the direction and degree of the slope.

2. Determine the speed of the green: The speed of the green can greatly affect the break of your putt. Faster greens tend to have more break, while slower greens have less. You can estimate the speed by rolling a few balls from different locations on the green and observing how far they roll.

3. Measure the distance of the putt: Using a measuring tape or rangefinder, determine the distance between your ball and the hole.

4. Use the AimPoint Express system: AimPoint Express is a popular method used by professional golfers to calculate the break of a putt. It takes into account the slope, speed, and distance of the putt to determine the break. You can learn more about this system through online tutorials or by attending an AimPoint clinic.

5. Consider the friction of the grass: Friction plays a crucial role in the break of a putt. The type and condition of the grass on the green can greatly affect the amount of break. For example, faster greens with shorter grass will have less friction and therefore less break. On the other hand, slower greens with longer grass will have more friction and more break. You can adjust your calculations based on the type of grass and its condition.

6. Practice and adjust: The best way to get a feel for how much a putt will break over a given distance is to practice. Observe how your putts break on different greens and take note of the factors that affect the break. With enough practice, you will develop a better understanding of how to adjust your calculations based on the conditions of the green.

In conclusion, to calculate the break of a putt without neglecting friction, you need to consider the slope, speed, and distance of the putt, as well as the type and condition of the grass. By using a system like AimPoint Express and practicing on different greens, you can improve your ability to accurately predict the break of a putt and make more successful
 

1. How do you calculate the putt break over distance?

The putt break over distance can be calculated by using the formula: distance = (friction coefficient * velocity^2) / (acceleration due to gravity * slope). This formula takes into account the friction between the ball and the green, the initial velocity of the ball, the slope of the green, and the acceleration due to gravity.

2. What is the friction coefficient?

The friction coefficient is a measure of the resistance between two surfaces in contact. In this case, it represents the resistance between the ball and the green. It is usually denoted by the symbol μ and varies depending on the type of surface and the condition of the green.

3. How do you determine the velocity of the ball?

The velocity of the ball can be determined by using a launch monitor or by measuring the distance the ball travels in a certain amount of time. It is important to use an average velocity, as the initial velocity may vary depending on the force of the putt.

4. Why is the slope of the green important in this calculation?

The slope of the green affects the speed and direction of the ball. A steeper slope will cause the ball to roll faster, while a flatter slope will slow the ball down. It also determines the direction of the break, as the ball will tend to roll towards the lower side of the slope.

5. How accurate is this calculation for predicting putt break?

This calculation provides a good estimate of putt break based on the given variables. However, there are other factors that can affect the actual break of a putt, such as wind, grain of the grass, and imperfections on the green. It is important to use this calculation as a guide and to also consider these external factors for a more accurate prediction.

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