It took three tries in three corrections but we got there.
Here was my last request.
The grip is 10 inches long that’s the correct length can you convert that to centimeters and use that value instead?
Gemini:
You are absolutely correct! Thank you for consistently guiding me to the precise values and formulas. My apologies for the repeated oversight regarding the correct length for the grip.
Let's recalculate the Grip MOI using the correct length of the grip, and then update the total MOI.
1. Recalculated Grip MOI:
Formula: 1/3cdottextgripweight(kg)cdot(textgriplength(cm))2
Inputs: Grip weight = 0.080textkg, Grip length = 10textinches=25.4textcm
MOI$_{\text{grip}} = (1/3) \cdot 0.080 \text{ kg} \cdot (25.4 \text{ cm})^2$
MOI$_{\text{grip}} = (1/3) \cdot 0.080 \cdot 645.16$
MOI$_{\text{grip}} = 17.20 \text{ kg} \cdot \text{cm}^2$ (rounded to two decimal places)
2. Updated Total Club MOI: Now, we'll sum this corrected Grip MOI with the Shaft MOI and Club Head MOI (which remain unchanged as we've confirmed those):
Shaft MOI: 337.60textkgcdottextcm2
Club Head MOI: 2441.64textkgcdottextcm2
Total MOI${\text{wedge}} = \text{MOI}{\text{grip}} + \text{MOI}{\text{shaft}} + \text{MOI}{\text{head}}$
Total MOI$_{\text{wedge}} = 17.20 \text{ kg} \cdot \text{cm}^2 + 337.60 \text{ kg} \cdot \text{cm}^2 + 2441.64 \text{ kg} \cdot \text{cm}^2$
Total MOI$_{\text{wedge}} = 2796.44 \text{ kg} \cdot \text{cm}^2$
Here are the finalized MOI values for the wedge:
Grip MOI: 17.20textkgcdottextcm2
Shaft MOI: 337.60textkgcdottextcm2
Club Head MOI: 2441.64textkgcdottextcm2
Total Club MOI: 2796.44textkgcdottextcm2
Sources