Kuwedzera nzvimbo - matambudziko nemhinduro

1. Pa 20 o C, kureba kwepepa resimbi i50 cm uye upamhi i30 cm. Kana coefficient yekuwedzera kwemutsara wesimbi iri 10 -5 o C -1 , sarudza shanduko munzvimbo nenzvimbo yekupedzisira pa60 o C.

Zvinozivikanwa:

Tembiricha yekutanga (T1 ) = 20 o C

Tembiricha yekupedzisira (T2 ) = 60 o C

Kuchinja kwetembiricha ( ΔT ) = 60 o C – 20 o C = 40 o C

Nzvimbo yekutanga (A 1 ) = kureba x upamhi = 50 cm x 30 cm = 1500 cm 2

Kuwanda kwekuwedzera kwesimbi ( α) = 10 -5 o C -1

Chikamu chekuwedzera kwenzvimbo yesimbi ( β) = 2α = 2 x 10 -5 o C -1

Zvinodiwa: Kuchinja kwenzvimbo ( ΔA )

Solution:

Kuchinja kwenzvimbo ( ΔA ):

ΔA = β A 1 ΔT

ΔA = ( 2 x 10 -5 o C -1 )(1500 cm 2 )(40 o C)

ΔA = (80 x 10 -5 )(1500 cm 2 )

ΔA = 1 20,000 x 10 -5 cm 2

ΔA = 1. 2 x 10 5 x 10 -5 masendimita 2

ΔA = 1.2 cm 2

Nzvimbo yekupedzisira ( A2 ) :

A 2 = A 1 + ΔA

A 2 = 1500 cm 2 + 1. 2 cm 2

A 2 = 1501 . 2 cm 2

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2. Pa30 o C, nzvimbo yepepa rearuminiyamu i40 cm 2 uye coefficient yekuwedzera kwemutsara i24 x 10 -6 / o C. Sarudza tembiricha yekupedzisira kana nzvimbo yekupedzisira iri 40.2 cm 2.

Zvinozivikanwa:

Tembiricha yekutanga (T1 ) = 30 o C

Kuwanda kwekuwedzera kwemutsara ( α) = 24 x 10 -6 o C -1

Chikamu chekuwedzera kwenzvimbo ( β) = 2a = 2 x 24 x 10 -6 o C -1 = 48 x 10 -6 o C -1

Nzvimbo yekutanga (A 1 ) = 40 cm 2

Nzvimbo yekupedzisira (A 2 ) = 40.2 cm 2

Kuchinja kwenzvimbo ( ΔA) = 40.2 cm 2 – 40 cm 2 = 0.2 cm 2

Zvinodiwa: Tsvaga tembiricha yekupedzisira (T 2 )

Solution:

Fomura yekuchinja kwenzvimbo ( ΔA) :

ΔA = β A 1 Δ T

Tembiricha yekupedzisira (T2 ) :

ΔA = β A 1 (T 2 – T 1 )

0.2 masendimita2 = (48 x 10-6 oC-1)(40 cm)2)(T2 - 30oC)

0.2 = (1920 x 10 -6 ) (T 2 - 30 )

0.2 = (1.920 x 10 -3 ) (T 2 - 30)

0.2 = (2 x 10 -3 ) (T 2 - 30)

0.2 / (2 x 10 -3 ) = T 2 – 30

0.1 x 10 3 = T 2 – 30

1 x 10 2 = T 2 – 30

100 = T 2 - 30

100 + 30 = T 2

T 2 = 130

Tembiricha yekupedzisira = 130 o C

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3. Radiyumu yerin'i pa20 o C iri 20 cm. Kana radiyumu yekupedzisira pa100 o C iri 20.5 cm, sarudza coefficient yekuwedzera kwenzvimbo uye coefficient yekuwedzera kwemutsara…

Zvinozivikanwa:

Tembiricha yekutanga (T1 ) = 30 o C

Tembiricha yekupedzisira (T2 ) = 100 o C

Kuchinja kwetembiricha ( ΔT ) = 100 o C – 30 o C = 70 o C

Radiyo yekutanga (r 1 ) = 20 cm

Radiyo yekupedzisira (r 2 ) = 20.5 cm

Zvinodiwa: Chiyero chekuwedzera kwenzvimbo ( β )

Solution:

Nzvimbo yekutanga (A 1 ) = π r 1 2 = (3.14)(20 cm) 2 = (3.14)(400 cm 2 ) = 1256 cm 2

Nzvimbo yekupedzisira (A 2 ) = π r 2 2 = (3.14)(20.5 cm) 2 = (3.14)(420.25 cm 2 ) = 1319.585 cm 2

Kuchinja kwenzvimbo ( ΔA) = 1319.585 cm 2 – 1256 cm 2 = 63.585 cm 2

Fomura yekuchinja kwenzvimbo ( ΔA) :

ΔA = β A 1 ΔT

Kuwanda kwenzvimbo:

ΔA = β A 1 ΔT

63.585 cm 2 = b (1 256 cm 2 )(70 o C)

63.585 = b ( 87,920 o C)

β = 63.585 / 87,920 o C

β = 0.00072 / o C

β = 7.2 x 1 0 -4 / o C

β = 7.2 x 1 0 -4 o C -1

Kuwanda kwekuwedzera kwemutsara ( α ):

β = 2 α

α = β / 2

α = (7.2 x 1 0 -4 ) / 2

α = 3.6 x 1 0 -4 o C -1

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  1. Kuchinja zviyero zvekupisa
  2. Linear kuwedzera
  3. Kuwedzera kwenzvimbo
  4. Kuwedzera inzwi
  5. Heat
  6. Kuenzana kwekupisa kwemuchina
  7. Kupisa kwakananga uye kugona kupisa
  8. Kupisa kwakahwanda, kupisa kwekusanganiswa, kupisa kwekupfuta
  9. Kuchengetedza simba rekutamisa kupisa

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