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A steel rod is 3.000 cm at 25^@C. A bras...

A steel rod is 3.000 cm at `25^@C`. A brass ring has an interior diameter of 2.992 cm at `25^@C`. At what common temperature will the ring just slide on to the rod?

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To solve the problem of determining the common temperature at which a brass ring will just slide onto a steel rod, we can follow these steps: ### Step 1: Understand the Initial Conditions - The diameter of the steel rod at 25°C is 3.000 cm. - The interior diameter of the brass ring at 25°C is 2.992 cm. ### Step 2: Calculate the Initial Radii - The radius of the steel rod \( r_{steel} \) at 25°C is: ...
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A steel rod is 4.00cm in diameter at 30^(@)C A brass ring has an interior diameter of 3.992cm at 30^(@) in order that the ring just slides onto the steel rod the common temperature of the two should be nearly (alpha_(steel) = 11xx10^(-6)(^(@)C) and alpha_(brass)=19xx10^(-6)(^(@)C)

(a) An alumunium measuring rod which is correct at 5^@ C , measures a certain distance as 88.42 cm at 35 ^@ C . determine the error in measuring hr distance due to the expansion of the rod. (b) If this aluminium rod measures a length of steel as 88.42 cm at 35 ^@ C , what is the correct length of the steel at 35 ^@ C ?

An iron ring measuring 15.00 cm in diameter is a be shrunk on a pulley which is 15.05 cm in diameter. All measurements refer to the room temperature 20^0 C . To What minimum temperature should the ring be heated to make the job possible? Calculate the strain developed in the ring when in comes to the room temperature. Coefficient of linear expansion of iron =12 xx 10^(-6) C^(-1) .

An iron ring measuring 15.00 cm in diameter is a be shrunk on a pulley which is 15.05 cm in diamer. All measurements refer to the room temperature 20^0 C . To What minimum temperature should the ring be heated to make the job possible? Calculate the strain developed in the ring when in comes to the room temperature. Coefficient of linear expansion of iron =12 xx 10^(-6) ^0 C^(-1) .

A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^@C . If the temperature rises to 100^@ C , what force will the rod exert on one of the clapms? Area of cross section of the rod = 2.00 mm^2 . Coefficient of linear expansion of steel = 12.0 xx 10^(-6)C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

A copper collar is to fit tightly about a steel shaft that has a diameter of 6 cm at 20^@C . The inside diameter of the copper collar at the temperature is 5.98cm Q. The tensile stress in the copper collar when its temperature returns to 20^@C is (T=11xx10^10N//m^(2))

An iron ball has a diameter of 6 cm and is 0.010 mm too large to pass through a hole in a brass plate when the ball and plate are at a temperature of 30^@ C . At what temperature, the same for ball and plate, will the ball just pass through the hole? Take the values of (prop) from Table 20 .2 .

A copper collar is to fit tightly about a steel shaft that has a diameter of 6 cm at 20^@C . The inside diameter of the copper collar at the temperature is 5.98cm If the breaking stress of copper is 230 N//m^2 , at what temperature will the copper collar break as it cools?

At 50^(@)C , a brass rod has a length 50 cm and a diameter 2 mm . It is joined to a steel rod of the same length and diameter at the same temperature . The change in the length of the composite rod when it is heated to 250^(@)C is (Coefficient of linear expansion of brass = 2.0 xx 10^(-5)"^(@) C^(-1) , coefficient of linear expansion of steel = 1.2 xx 10^(-5) "^(@) C^(-1) )

A cylindrical steel plug is inserted into a circular hole of diameter 2.60 cm in a brass plate. When the plug and the plates are at a temperature of 20^(@)C, the diameter of the plug is 0.010 cm smaller than that of the hole. The temperature at which the plug will just fit in it is ("Given",alpha_(steel)=11xx10^(-6)C^(-1)and alpha_(brass)=19xx10^(-6)C^(-1)

CENGAGE PHYSICS ENGLISH-CALORIMETRY-Exercise 1.2
  1. Two large holes are cur in a metal sheet. If this is heated, distance ...

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  2. Two large holes are cut in a metal sheet will the distance between th...

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  3. A long metal rod is bent to form a ring with a small gap if this is he...

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  4. Two iron spheres of the same diameter are heated to the same temperatu...

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  5. A steel rod is 3.000 cm at 25^@C. A brass ring has an interior diamete...

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  6. A clock with a metal pendulum beating seconds keeps correct time at 0^...

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  7. An iron rod and a copper rod lie side by side. An the temperature is c...

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  8. A metal rod of 30 cm length expands by 0.075 cm when its temperature i...

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  9. A brass scale is graduated at 10^@C. What is the true length of a zinc...

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  10. A long horizontal glass capillary tube open at both ends contains a me...

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  11. A mercury in glass thermometer has a stem of internal diameter 0.06 cm...

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  12. A sphere of diameter 7 cm and mass 266.5 g floats in a bath of liquid....

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  13. A mercury thermometer is to be made with glass tubing of internal bore...

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  14. On a Celsius thermometer the distance between the readings 0^@C and 10...

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  15. The height of a mercury column measured with a brass scale, which is c...

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  16. A glass bulb contains air and mercury. What fraction of the bulb must ...

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  17. Two rods of equal cross sections, one of copper and the other of steel...

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  18. A glass vessel measures exactly 10cm xx 10 cm xx 10 cm at 0^@C. It is ...

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  19. A metal ball immersed in alcohol weighs w(1) " at" 0^(@)C " and" w(2) ...

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  20. In figure which strip (brass or steel) has higher coefficient of linea...

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