Ukwandiswa kwendawo - izinkinga nezixazululo

1. Ku-20 o C, ubude beshidi lensimbi bungama-50 cm kanti ububanzi bungama-30 cm. Uma i-coefficient yokwanda okuqondile kwensimbi ingu-10 -5 o C -1 , nquma ushintsho endaweni kanye nendawo yokugcina ku-60 o C.

Kwaziwa:

Izinga lokushisa lokuqala (T1 ) = 20 o C

Izinga lokushisa lokugcina (T2 ) = 60 o C

Ushintsho lokushisa ( ΔT ) = 60 o C – 20 o C = 40 o C

Indawo yokuqala (A 1 ) = ubude x ububanzi = 50 cm x 30 cm = 1500 cm 2

I-coefficient yokwanda okuqondile kwensimbi ( α) = 10 -5 o C -1

I-coefficient yokwandiswa kwendawo yensimbi ( β) = 2α = 2 x 10 -5 o C -1

Okufunwayo: Ushintsho endaweni ( ΔA )

Isixazululo:

Ushintsho endaweni ( 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 cm 2

ΔA = 1.2 cm 2

Indawo yokugcina ( 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. Ku-30 o C, indawo yeshidi le-aluminium ingu-40 cm 2 kanti i-coefficient yokwanda okuqondile ingu-24 x 10 -6 / o C. Nquma izinga lokushisa lokugcina uma indawo yokugcina ingu-40.2 cm 2.

Kwaziwa:

Izinga lokushisa lokuqala (T1 ) = 30 o C

I-coefficient yokwanda okuqondile ( α) = 24 x 10 -6 o C -1

I-coefficient yokwandiswa kwendawo ( β) = 2a = 2 x 24 x 10 -6 o C -1 = 48 x 10 -6 o C -1

Indawo yokuqala (A 1 ) = 40 cm 2

Indawo yokugcina (A 2 ) = 40.2 cm 2

Ushintsho endaweni ( ΔA) = 40.2 cm 2 – 40 cm 2 = 0.2 cm 2

Okufunwayo: Nquma izinga lokushisa lokugcina ( T2 )

Isixazululo:

Ifomula yoshintsho endaweni ( ΔA) :

ΔA = β A 1 Δ T

Izinga lokushisa lokugcina (T2 ) :

ΔA = β A 1 (T 2 – T 1 )

0.2 cm2 = (48 x 10-6 oC-1)(40 cm2)(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

I-T 2 = 130

Izinga lokushisa lokugcina = 130 o C

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3. Irediyasi yendandatho ku-20 o C ingu-20 cm. Uma irediyasi yokugcina ku-100 o C ingu-20.5 cm, nquma i-coefficient yokwandiswa kwendawo kanye ne-coefficient yokwandiswa okuqondile…

Kwaziwa:

Izinga lokushisa lokuqala (T1 ) = 30 o C

Izinga lokushisa lokugcina (T2 ) = 100 o C

Ushintsho lokushisa ( ΔT ) = 100 o C – 30 o C = 70 o C

Irediyasi yokuqala (r 1 ) = 20 cm

Irediyasi yokugcina (r 2 ) = 20.5 cm

Okufunwayo: I-coefficient yokwandiswa kwendawo ( β )

Isixazululo:

Indawo yokuqala (A 1 ) = π r 1 2 = (3.14)(20 cm) 2 = (3.14)(400 cm 2 ) = 1256 cm 2

Indawo yokugcina (A 2 ) = π r 2 2 = (3.14)(20.5 cm) 2 = (3.14)(420.25 cm 2 ) = 1319.585 cm 2

Ushintsho endaweni ( ΔA) = 1319.585 cm 2 – 1256 cm 2 = 63.585 cm 2

Ifomula yoshintsho endaweni ( ΔA) :

ΔA = β A 1 ΔT

I-coefficient yokwandiswa kwendawo:

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

I-coefficient yokwanda okuqondile ( 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. Ukuguqula izikali zokushisa
  2. Ukunwetshwa komugqa
  3. Ukwandiswa kwendawo
  4. Ukunwetshwa kwevolumu
  5. Heat
  6. Okulingana nokushisa okwenziwe ngomshini
  7. Ukushisa okukhethekile kanye nomthamo wokushisa
  8. Ukushisa okucashile, ukushisa kokuhlanganiswa, ukushisa kokushisa komhwamuko
  9. Ukonga amandla okudlulisa ukushisa

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