Distance Formula:
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The Club Loft Distance Calculation estimates how far a golf ball will travel based on initial velocity, loft angle, and gravity. This formula is derived from projectile motion physics and is particularly useful for golfers to understand their club selection and swing mechanics.
The calculator uses the distance formula:
Where:
Explanation: This formula calculates the horizontal distance a projectile travels, assuming ideal conditions with no air resistance and a level playing field.
Details: Accurate distance estimation helps golfers select the right club for each shot, improve their swing technique, and better understand how loft angle affects ball trajectory and distance.
Tips: Enter velocity in m/s, loft angle in degrees, and gravity in m/s². For Earth's gravity, use the default value of 9.8 m/s². All values must be positive numbers.
Q1: Why does the formula use sin(2θ) instead of just sin(θ)?
A: The sin(2θ) term comes from the projectile motion equations and represents the optimal angle combination for maximum range, which occurs at 45 degrees.
Q2: How accurate is this calculation for real golf shots?
A: This provides a theoretical maximum distance. Real-world results will be shorter due to air resistance, spin, and other factors not accounted for in this simplified model.
Q3: What is a typical golf ball velocity?
A: Professional golfers can achieve ball velocities of 70-85 m/s (160-190 mph), while amateur golfers typically range from 45-65 m/s (100-145 mph).
Q4: How does loft angle affect distance?
A: Generally, lower loft angles (drivers) produce longer distances, while higher loft angles (wedges) produce shorter, higher shots with more backspin.
Q5: Why is gravity included in the formula?
A: Gravity affects how quickly the ball falls back to earth, which directly impacts the total distance the ball can travel horizontally.