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Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?

Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?
x(t) = x0 + Voxt + ½ axt² y(t) = yo + Voyt + ½ ayt² Vx (t) = Vox? + 2ax(x-xo) Vy (t) = Voy + 2a,(y-yo) v(t) = dx/dt a(t) = d?x/dt? Vx(t) = Vox + axt Vy(t) = Voy + ayt <V> = (vo + V1) / 2 <a> = (V1 – Vo)/(tj – to) r = x² + y? (Vo + V1) / 2 = Ar/At a(t) = dv/dt x = rcose <V> = Ar/At <a> = Av/At |A| = (A,? + A,?)2 Â = A y = rsin0 a = ac(-f) + arê® ac = Vr/r a. = m²r VT = (2nr)/T ac = 4n°r/T? ar = dvf/dt VT = or f = o/2n f = 1/T rP/A = rP/B + rB/A VP/A = VP/B + VB/A ap/A = ap/B + aB/A m, m2 EF¡ = ma F12 = -F21 = G (-12) fs,max = lsFN F = mv²/r fk = µkFN Fe = mac Fdrag = -by Fdrag = ½ DpAv² (-8) 2mg Vt = mg/b Vt = dW; = F; · dr Wi = F; · Ar Ug = mgy AUint = fgAs n = Pout/Pin (X 100%) V DpA K = ½ mv? Usp = ½ k(x-xrel)? P = dW/dt AK = ½ m (v1²-vo²) Fsp = -k (x-Xrel) P = dU/dt = dp/dt ΣW ΔΚ P = F•v <ΣF-Δp/Δt p= mv miv10 + m2v20 = m¡v11 + m2V21 ½ miV10? + ½ m2V20? = ½ m¡V11? + ½ m2v21? m¡V10 + m2v20 = (m¡+m2)VTI (mi+m2)VT0 = m¡Vj1 + m2V21 (m2-m1 m,+m2 (Em;) Zem = E(m;z;) (mi-m2) V10 + m1+m2/ 2m2 2m1 V11 V20 V21 = V20 + |V10 \m,+m2/ (Σm) xem- Σ(mx ) Av, = +Ve In(M/M¡) 0 = 0o + @ot + ½ at² \m,+m2/ (Σm ) yem Σ(my ) Fth = v(dm/dt) mtotalXCM = o? = 00? + 2a(0–0) @ = Wo + at <a> = A@/At <@> = AÐ/At Vcm = ro S = r0 a(t) = d²0/dt? T = rleverF TAB = -TBA I= Iem + Md² @(t) = d0/dt a(t) = d@/dt T = rFsino Et = dL/dt I = BMR? L =r xp T =r x F dW; = t;· de I= E m,r;? Op = (mgrsin0)/(Io) Στ-Ια Krot = ½ Io? rjever = rsino I010 + I2020 = I011 + I2021 (I1+I2)@ro = I10i1 + I2@21 L = Io ΔL TΔt I010 + I2020 = (I1+I2)@T1 I10010 = I1101 1/2
Transcribed Image Text:x(t) = x0 + Voxt + ½ axt² y(t) = yo + Voyt + ½ ayt² Vx (t) = Vox? + 2ax(x-xo) Vy (t) = Voy + 2a,(y-yo) v(t) = dx/dt a(t) = d?x/dt? Vx(t) = Vox + axt Vy(t) = Voy + ayt <V> = (vo + V1) / 2 <a> = (V1 – Vo)/(tj – to) r = x² + y? (Vo + V1) / 2 = Ar/At a(t) = dv/dt x = rcose <V> = Ar/At <a> = Av/At |A| = (A,? + A,?)2 Â = A y = rsin0 a = ac(-f) + arê® ac = Vr/r a. = m²r VT = (2nr)/T ac = 4n°r/T? ar = dvf/dt VT = or f = o/2n f = 1/T rP/A = rP/B + rB/A VP/A = VP/B + VB/A ap/A = ap/B + aB/A m, m2 EF¡ = ma F12 = -F21 = G (-12) fs,max = lsFN F = mv²/r fk = µkFN Fe = mac Fdrag = -by Fdrag = ½ DpAv² (-8) 2mg Vt = mg/b Vt = dW; = F; · dr Wi = F; · Ar Ug = mgy AUint = fgAs n = Pout/Pin (X 100%) V DpA K = ½ mv? Usp = ½ k(x-xrel)? P = dW/dt AK = ½ m (v1²-vo²) Fsp = -k (x-Xrel) P = dU/dt = dp/dt ΣW ΔΚ P = F•v <ΣF-Δp/Δt p= mv miv10 + m2v20 = m¡v11 + m2V21 ½ miV10? + ½ m2V20? = ½ m¡V11? + ½ m2v21? m¡V10 + m2v20 = (m¡+m2)VTI (mi+m2)VT0 = m¡Vj1 + m2V21 (m2-m1 m,+m2 (Em;) Zem = E(m;z;) (mi-m2) V10 + m1+m2/ 2m2 2m1 V11 V20 V21 = V20 + |V10 \m,+m2/ (Σm) xem- Σ(mx ) Av, = +Ve In(M/M¡) 0 = 0o + @ot + ½ at² \m,+m2/ (Σm ) yem Σ(my ) Fth = v(dm/dt) mtotalXCM = o? = 00? + 2a(0–0) @ = Wo + at <a> = A@/At <@> = AÐ/At Vcm = ro S = r0 a(t) = d²0/dt? T = rleverF TAB = -TBA I= Iem + Md² @(t) = d0/dt a(t) = d@/dt T = rFsino Et = dL/dt I = BMR? L =r xp T =r x F dW; = t;· de I= E m,r;? Op = (mgrsin0)/(Io) Στ-Ια Krot = ½ Io? rjever = rsino I010 + I2020 = I011 + I2021 (I1+I2)@ro = I10i1 + I2@21 L = Io ΔL TΔt I010 + I2020 = (I1+I2)@T1 I10010 = I1101 1/2
F ΔF ΔΡ Y = B = B = AV S = Vo x(t) = Xmax cOs(@t + 0) T= 27 (L/g)'2 @ = (k/m)'2 T= 27 (I/mgd)"2 Vmax = OXmax amax = 0ʻxmax y(x,t) = ymax Ssin(kx + @t + þ) v = f. a?y Odamped = ( (k/m) – (b/2m)² )'/² y(x,t) = ymax sin(kx - ot + ¢) 2 = 2n/k v = @/k 1 д?у v = (Fr/u)2 µ = m/L <Pwave> = ½ uymax-@ʻv əx² v² at2 ΔΡ %3D max Bksmax AP, = pwvsSmax Vsound = Vsound = 343 m/s max TC Vsound = (331-) 1+ Vsound 331 m/s + (0.60 m/s°C) Tc 273 °C APmax I = 2ρν 10 dB = 1 B <P> B = log () P = pvosmax A sin°(kx-@t) I, = 10-12 W/m² (exactly) I = %3D 4tr2 fobserver = fsource (Vsound+Vobserver sin(A) + sin(B) = 2 cos (-4): sin () Vsound-Vsource 0 = 2tn (const) 0 = T(2n+1) (dest) An = 4L/(2n-1) fn = (2n-1)v/4L AV = V.B(T1-To) AL=La(T1-To) Q = mLv AEint = W + Q n = 0, ±1, ±2,.. An = 2L/n fn = nv/2L n = 1, 2, 3, ... Af = |f1 – f2| B= 3a Q = mLf AEcyele PV = nRT Q = mcAT W = - SP dV AT = Tinal - Tinitial Wisobaric = -PAV Vfinal \Vinitial- = 0 Wisovolumetric = 0 Qadiabatic = 0 Qisothermal = nRT In R = Ax/k 4 Pradiated = GAETK* TK = Tc + 273.15 Ktot = ( ½ NKBT) * degrees of freedom (dof) 8kgT P = kA|dT/dx| Pnet = GAe (Tsource – Tobject") ½ mo<v?> = ½ kgT 3kgT kB = R/NA 2kgT VRMS = Vavg Vmost likely mo Timo V mo 3RT 8RT 2RT VRMS = Vavg Vmost likely M M AEint = Q = nCyAT Q=nCpAT P¡V = P2V2Y CoP = |Q/|W| dS = dQreversible/T ASfree expand = nR In(V2/V1) Ср 3D Су + R Y = Cp/Cy n = |W]/lQH| Cy = ½ R * dof T¡V;! = T2V;*1 n = 1 – (IQc/IQH|) Notto = 1– (V2/V)-! = 0 NCarnot = 1 – (T/TH) ASCarnot %3D
Transcribed Image Text:F ΔF ΔΡ Y = B = B = AV S = Vo x(t) = Xmax cOs(@t + 0) T= 27 (L/g)'2 @ = (k/m)'2 T= 27 (I/mgd)"2 Vmax = OXmax amax = 0ʻxmax y(x,t) = ymax Ssin(kx + @t + þ) v = f. a?y Odamped = ( (k/m) – (b/2m)² )'/² y(x,t) = ymax sin(kx - ot + ¢) 2 = 2n/k v = @/k 1 д?у v = (Fr/u)2 µ = m/L <Pwave> = ½ uymax-@ʻv əx² v² at2 ΔΡ %3D max Bksmax AP, = pwvsSmax Vsound = Vsound = 343 m/s max TC Vsound = (331-) 1+ Vsound 331 m/s + (0.60 m/s°C) Tc 273 °C APmax I = 2ρν 10 dB = 1 B <P> B = log () P = pvosmax A sin°(kx-@t) I, = 10-12 W/m² (exactly) I = %3D 4tr2 fobserver = fsource (Vsound+Vobserver sin(A) + sin(B) = 2 cos (-4): sin () Vsound-Vsource 0 = 2tn (const) 0 = T(2n+1) (dest) An = 4L/(2n-1) fn = (2n-1)v/4L AV = V.B(T1-To) AL=La(T1-To) Q = mLv AEint = W + Q n = 0, ±1, ±2,.. An = 2L/n fn = nv/2L n = 1, 2, 3, ... Af = |f1 – f2| B= 3a Q = mLf AEcyele PV = nRT Q = mcAT W = - SP dV AT = Tinal - Tinitial Wisobaric = -PAV Vfinal \Vinitial- = 0 Wisovolumetric = 0 Qadiabatic = 0 Qisothermal = nRT In R = Ax/k 4 Pradiated = GAETK* TK = Tc + 273.15 Ktot = ( ½ NKBT) * degrees of freedom (dof) 8kgT P = kA|dT/dx| Pnet = GAe (Tsource – Tobject") ½ mo<v?> = ½ kgT 3kgT kB = R/NA 2kgT VRMS = Vavg Vmost likely mo Timo V mo 3RT 8RT 2RT VRMS = Vavg Vmost likely M M AEint = Q = nCyAT Q=nCpAT P¡V = P2V2Y CoP = |Q/|W| dS = dQreversible/T ASfree expand = nR In(V2/V1) Ср 3D Су + R Y = Cp/Cy n = |W]/lQH| Cy = ½ R * dof T¡V;! = T2V;*1 n = 1 – (IQc/IQH|) Notto = 1– (V2/V)-! = 0 NCarnot = 1 – (T/TH) ASCarnot %3D
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