Thermal expansion (6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC? (7) What is the change in length of a rod made up of 2000m of copper and 1000m of aluminum placed end to end as it moved from an ice water bath to a steam bath? (8) A structural steel l-beam is 15m long when installed at 200C. How much will its length change over the temperature extremes -300C to 500C? ANS. 1.32cm

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a rod is exactly
em lông
a steel
ruler. Both the rod and the ruler are placed in an oven at 270°C,
where the rod now measures 20.11 cm on the same ruler. What is
the coefficient of linear expansion for the material of which the
rod is made?
Al = al AT
12-11= y1 (T2-T1)
Thermal expansion
(6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b)
OoC?
(7) What is the change in length of a rod made up of 2000m of copper and 1000m of
aluminum placed end to end as it moved from an ice water bath to a steam bath?
(8) A structural steel l-beam is 15m long when installed at 200C. How much will its length
change over the temperature extremes -30oC to 500C?
ANS. 1.32cm
(9) A metal rod made of some alloy is to be used as a thermometer. At OoC its length is
40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion
coefficient of the alloy? (b) what is the temperature when its length is 39975cm?
(10) A hole with diameter of 2cm is drilled through a stainless steel pate at room
temperature (200C). By what fraction (Dr/r) will the hole be larger when the plate is
heated to 150oC?
(11) Calculate the fractional change in volume (Dv/v) of an aluminum bar that undergoes
a change
temperature of 300C.
(6) The Eiffel tower is built from iron and it is about 324 m high. Its coefficient
of linear expansion is approximately 12 x 10-6 (C)-I and assumed constant.
What is the increase in the tower's length when the temperature changes from
0°C in winter to 30 °C?
(7) A copper rod is 8 m long at 20 °C and has a coefficient of linear expansion
a = 17 x 10-6 (C°)-, What is the increase in the rod's length when it is heated
to 40 °C?
(9) An iron steam pipe is 100 m long at 0°C and has a coefficient of linear
expansion a = 10 x 10-6 (C°)-1, what will be its length when heated to
100 °C?
Transcribed Image Text:a rod is exactly em lông a steel ruler. Both the rod and the ruler are placed in an oven at 270°C, where the rod now measures 20.11 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? Al = al AT 12-11= y1 (T2-T1) Thermal expansion (6) An aluminum tube is 30000m long at 200C. What is its length at (a) 1000C and (b) OoC? (7) What is the change in length of a rod made up of 2000m of copper and 1000m of aluminum placed end to end as it moved from an ice water bath to a steam bath? (8) A structural steel l-beam is 15m long when installed at 200C. How much will its length change over the temperature extremes -30oC to 500C? ANS. 1.32cm (9) A metal rod made of some alloy is to be used as a thermometer. At OoC its length is 40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm? (10) A hole with diameter of 2cm is drilled through a stainless steel pate at room temperature (200C). By what fraction (Dr/r) will the hole be larger when the plate is heated to 150oC? (11) Calculate the fractional change in volume (Dv/v) of an aluminum bar that undergoes a change temperature of 300C. (6) The Eiffel tower is built from iron and it is about 324 m high. Its coefficient of linear expansion is approximately 12 x 10-6 (C)-I and assumed constant. What is the increase in the tower's length when the temperature changes from 0°C in winter to 30 °C? (7) A copper rod is 8 m long at 20 °C and has a coefficient of linear expansion a = 17 x 10-6 (C°)-, What is the increase in the rod's length when it is heated to 40 °C? (9) An iron steam pipe is 100 m long at 0°C and has a coefficient of linear expansion a = 10 x 10-6 (C°)-1, what will be its length when heated to 100 °C?
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