Find T1, T2, and T3 at equalibrium. (Set up the system of equations and solve) H

Question

Find T1, T2, and T3 at equalibrium.

(Set up the system of equations and solve) Have attempted but gets a bit out of hand a few steps in.

Explanation / Answer

ok, here: T1=(200+0+0+T2)/4 T2=(200+0+T1+T3)/4 T3=(400+0+0+T2)/4 Simplifying, and multiplying 4 over to the other side, we have: 4T1=200+T2 4T2=200+T1+T3 4T3=400+T2 by subtracting 200 from both sides in the third equation, we can get: 4T1=4T3-200 ----> T1=T3-50 ---> T3=T1+50 Now, let's rewrite the first equation so we can substitute it into the second. 16T1=800+4T2 ---> 4T2=16T1-800 Second equation: 4T2=200+T1+T3 let's bring the T3=T1+50 equation into this, as well as the first equation. (16T1-800)=200+T1+(T1+50) 16T1-800=200+T1+T1+50 16T1-800=250+2T1 16T1-2T1=250+800 14T1=1050 7T1=525 T1=75 Back-substituting, we get: T3=(T1+50)=75+50=125 4T1=200+T2 ---> 4(50)=200+T2 --> 200=200+T2 ---> T2=0

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.