How to Calculate the Kinetic Energy of a Ton of Water Moving at 60 min/hr?

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SUMMARY

The discussion revolves around calculating the kinetic energy of a ton of water moving at a velocity of 60 min/hr, as presented in David M. Himmelblau and James B. Riggs' "Basic Principles and Calculations in Chemical Engineering, 7th Edition." The correct kinetic energy calculation yields 240,838 (ft)(lbf) when assuming the velocity is 60 miles/hr, rather than the initially provided 60 min/hr, which is deemed a typo. The calculations involve converting mass from pounds to slugs and applying the kinetic energy formula, KE = 0.5 * mass * velocity².

PREREQUISITES
  • Understanding of kinetic energy formula: KE = 0.5 * mass * velocity²
  • Familiarity with unit conversions between pounds, slugs, and feet per second
  • Basic knowledge of gravitational constant (gc) as 32.2 ft/s²
  • Ability to interpret and correct typographical errors in physics problems
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  • Learn about unit conversions in physics, specifically between mass and weight
  • Study the principles of kinetic energy and its applications in engineering
  • Explore common typographical errors in physics problems and how to identify them
  • Investigate the implications of velocity units in kinetic energy calculations
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Students and professionals in engineering, particularly those focusing on fluid mechanics and energy calculations, will benefit from this discussion.

serven7
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This question is directly from David M. Himmelblau and James B. Riggs Basic Principles and Calculations in Chemical Engineering, 7th Edition cd rom workbook part1 unsolved problem q1.3. I am reworking through the basics, However when i went through this question I couldn't figure out the velocity.

Find the kinetic energy of a ton of water moving at 60 min/hr expressed as (ft)(lbf).?

Answer from booklet= 2.40*10^5 (ft) (lbf). However i can't find the velocity of the moving water i tried using gc and converting mass to slug*ft/s^2 or lbm x ft/s^2. please help!
 
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welcome to pf!

hi serven7! welcome to pf! :smile:

(try using the X2 tag just above the Reply box :wink:)
serven7 said:
Find the kinetic energy of a ton of water moving at 60 min/hr expressed as (ft)(lbf).?

erm :redface:everything moves at 60 min/hr ! :biggrin:

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 
Find the kinetic energy of a ton of water moving at 60 min/hr expressed as (ft)(lbf).?
no velocity is listed

a ton=2000 pound mass
1hr =3600seconds(1.) 2000/32.174 = 62.2 slug mass

(2) 1 lbf = 1 slug*ft/s2 so... slug mass* gc(32.2ft/s2)

(3) so KE = 0.5* slug* (ft/s2)2 ,hence 0.5*62.2slug*(32.2ft/s2)2 = 32246 (ft) (lbf)

Answer from booklet= 2.40*105 (ft) (lbf).. answer is wrong.
Don't know what am doing wrong, question does not provide velocity.
 
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I think 60 min/hr is a typo for 60 miles/hr.

At least, that velocity gives me the "right answer".
 
Thx, the question was doing my head in cux such a simple question and am spending so much time on it.

KE= 0.5*62.2slug*(88ft/s2)2 =240838(ft) (lbf)
 
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