Mohlala oa lipotso tsa katoloso ea bolelele

Mehlala e 5 ea lipotso mabapi le katoloso ea bolelele

1. Setene sa tšepe mochesong oa likhato tse 20^oC e bolelele ba 40 cm. Coefficient ea katoloso e otlolohileng ea tšepe ke 10^{-5 o}C^-1Keketseho ea bolelele ba tšepe le bolelele ba ho qetela ba tšepe ho suhu 70^oC ke…..
Puisano
Hoa tsebahala hore:
Keketseho ea mocheso (ΔT) = 70^oC - 20^oEA-50-C^oC
Bolelele ba qalong (L)₁) = 40 cm
Koefficient ea katoloso e otlolohileng ea tšepe (a) = 10^{-5 o}C^-1
O botsitse: Keketseho ea bolelele (ΔL) le bolelele ba ho qetela (L)₂)
Karabo:
a) Keketseho ea bolelele (ΔL)
ΔL = α L₁ ΔT
ΔL = (10^{-5 o}C^-1)(40 cm)(50^oC)
ΔL = (10^-5)(2 x 10³) cm
ΔL = 2 x 10^-2 cm
ΔL = 2/10² cm
ΔL = 2 / 100 cm
ΔL = 0,02 cm

b) Bolelele ba ho qetela (L)₂)
L₂ =L₁ +ΔL
L₂ = 40 cm + 0,02 cm
L₂ = 40,02 XNUMX cm

2. Tšepe e ba le phetoho ea mocheso ea likhato tse 30^oC e ba 80^oC. Haeba bolelele ba ho qetela ba tšepe e le 115 cm mme coefficient ea katoloso e otlolohileng ea tšepe e le 3.10^{-3 o}C^-1, ebe bolelele ba pele ba tšepe le keketseho ea bolelele ba tšepe ke…..
Puisano
Hoa tsebahala hore:
Keketseho ea mocheso (ΔT) = 80^oC - 30^oEA-50-C^oC
Bolelele ba ho qetela (L)₂) = 115 cm
Palo ea katoloso e otlolohileng ea tšepe (a) = 3.10^{-3 o}C^-1
O botsitse: Bolelele ba qalong (L)₁) le keketseho ea bolelele (ΔL)
Karabo:
a) Bolelele ba qalong (L)₁)
Foromo ea ho eketsa bolelele:
ΔL = α L₁ ΔT
Foromo ea bolelele ba ho qetela:
L₂ =L₁ +ΔL
L₂ =L₁ + α L₁ ΔT
L₂ =L₁ (1 + α ΔT)
115 cm = L₁ (1 + (3.10)^{-3 o}C^-1(50)^oC)
115 cm = L₁ (1 + 150.10^-3)
115 cm = L₁ (1 + 0,15)
115 cm = L₁ (1,15)
L₁ = 115 cm / 1,15
L₁ = 100 XNUMX cm

b) Keketseho ea bolelele (ΔL)
ΔL = L₂ - L₁
ΔL = 115 cm - 100 cm
ΔL = 15 cm

3. Ha mocheso o le 25^oBolelele ba khalase ke 50 cm. Kamora ho futhumatsoa, ​​bolelele ba khalase bo ba 50,9 cm. Coefficient ea katoloso e otlolohileng ea khalase ke α = 9 x 10^-6 C^-1. Mocheso oa ho qetela oa khalase ke….
Puisano
Hoa tsebahala hore:
Bolelele ba qalong (L)₁) = 50 cm
Bolelele ba ho qetela (L)₂) = 50,09 cm
Keketseho ea bolelele (ΔL) = 50,2 cm – 50 cm = 0,09 cm
Koefficient ea katoloso e otlolohileng ea khalase (α) = 9 x 10^{-6 o}C^-1
Mocheso oa pele (T)₁= 25^oC
O botsitse: Mocheso oa ho qetela oa khalase (T)₂)
Karabo:
ΔL = α L₁ ΔT
ΔL = α L₁ (T₂ - T₁)
0,09 cm = (9 x 10)^{-6 o}C(50 cm)(T)₂ - 25 ^oC)
0,09 = (45 x 10)^-5)(T₂ - 25)
0,09 / (45 x 10^-5) = T₂ - 25
0,002: x 10⁵ = T₂ - 25
2: x 10² = T₂ - 25
200 = T₂ - 25
T₂ = 200 + 25
T₂ = 225^oC
Mocheso oa ho qetela oa khalase ke 225^oC.

4. Tšepe e bolelele ba pele ba mithara e le 'ngoe e eketseha ka bolelele ho fihla ho 1,02 m kamora ho ba le phetoho ea mocheso ea 50 Kelvin. Fumana coefficient ea katoloso e otlolohileng ea tšepe!
Puisano
Hoa tsebahala hore:
Bolelele ba qalong (L)₁) = limithara tse 1
Bolelele ba ho qetela (L)₂) = limithara tse 1,02
Phetoho ea bolelele (ΔL) = L₂ - L₁ = Limithara tse 1,02 – Limithara tse 1 = Limithara tse 0,02
Phetoho ea mocheso (ΔT) = 50 Kelvin = 50^oC
O botsitse: Katoloso e otlolohileng ea tšepe
Karabo:
ΔL = α L₁ ΔT
Limithara tse 0,02 = α (mithara e le 1)(50^oC)
0,02 = α (50)^oC)
α = 0,02 / 50^oC
α = 0,0004 ^oC^-1
α = 4 x 10^{-4 o}C^-1

5. Bolelele ba seporo se seng le se seng sa terene ke limithara tse 8, se kentswe mochesong wa 30 ^oC. Palo e lekaneng ea katoloso ea terene ke 12 × 10^-6 /C^oHaeba mocheso o le 60 ^oC lireile tse peli lia amana, ebe bolelele ba sekheo pakeng tsa lireile tse peli mochesong oa 30 ^oC ke…
A. 5,76 mm
B. 3,24 mm
Bolelele ba 1,20 mm
D. 0,8 mm
E. 0,6 mm
Puisano:

Hoa tsebahala :
Bolelele ba qalong (L)_o) = 8 m
Mocheso oa pele (T) = 30 ^oC
Mocheso oa ho qetela (T) = 60 ^oC
Koefficient ea katoloso e otlolohileng = 12 x 10^-6  /C^o
E botsitsoe :
Bolelele ba sekheo pakeng tsa literene tse peli
Jawab :
Bala keketseho ea bolelele ba thupa e 'ngoe le e 'ngoe ea seporo:
Bolelele ba terata ka 'ngoe bo eketseha ka 2,88 mm ka hona bolelele ba sekheo pakeng tsa mekoallo e 'meli ea terene = 2 x 2,88 mm = 5,76 mm
Karabo e nepahetseng ke A.