Question: PLEASE HELP SOLVE THIS EQUATION AND USE THE GIVEN CONFIDENCE INTERVALS IF NEEDED. PLEASE SHOW ALL WORK INCLUDING FORMULAS, AND ANNOTATE IF POSSIBLE. THANK YOU

PLEASE HELP SOLVE THIS EQUATION AND USE THE GIVEN CONFIDENCE INTERVALS IF NEEDED. PLEASE SHOW ALL WORK INCLUDING FORMULAS, AND ANNOTATE IF POSSIBLE. THANK YOU VERY MUCH FOR YOUR TIME!

PLEASE HELP SOLVE THIS EQUATION AND USE THE GIVEN

2. [34 pts] Due to capillary action, a liquid will rise (or sink) in a tube according to its surface tension by the formula h 2ycos(@) pgr You decide to measure the surface tension y by measuring the other terms: p is the liquid density: P = 52.4 lbm/ft (negligible uncertainty) g is gravity: g= 31.1 ft/s (negligible uncertainty) r is the radius of the tube: r=0.008 in (negligible uncertainty) h is the height of the rise: h= 2.70 + 0.30 in O is the contact angle: 0= 20 = 5 HO Hg a. [30 pts] Determine the complete measurement of the surface tension y (lbf/ft) (its nominal value and uncertainty), and report it to the appropriate number of significant figures. Use the dimensional method. Do not use slugs or SI units. b. [5 pts] Which measurement would you improve in order to improve the uncertainty in your calculation of y? Suggest a new resolution, and justify your choice. CONFIDENCE INTERVALS: ts u= x + vn x = x 21,5, (P% confidence) n x=rts In (P% confidence), 2. [34 pts] Due to capillary action, a liquid will rise (or sink) in a tube according to its surface tension by the formula h 2ycos(@) pgr You decide to measure the surface tension y by measuring the other terms: p is the liquid density: P = 52.4 lbm/ft (negligible uncertainty) g is gravity: g= 31.1 ft/s (negligible uncertainty) r is the radius of the tube: r=0.008 in (negligible uncertainty) h is the height of the rise: h= 2.70 + 0.30 in O is the contact angle: 0= 20 = 5 HO Hg a. [30 pts] Determine the complete measurement of the surface tension y (lbf/ft) (its nominal value and uncertainty), and report it to the appropriate number of significant figures. Use the dimensional method. Do not use slugs or SI units. b. [5 pts] Which measurement would you improve in order to improve the uncertainty in your calculation of y? Suggest a new resolution, and justify your choice. CONFIDENCE INTERVALS: ts u= x + vn x = x 21,5, (P% confidence) n x=rts In (P% confidence)

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