Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 20, Problem 27P
To determine
To Calculate:The temperature must have the copper collar.
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A steel ring of 3.000 cm inside diameter at 20°C is to be heated and slipped over a brass shaft measuring 3.002 cm in diameter at 20°C. After being heated to the desired temperature. the ring and shaft together are cooled by some means such as liquid air, at what temperature will the ring just slip off the shaft?
V
13. At 20.0°C, an aluminum ring has an inner diameter of
QIC 5.000 0 cm and a brass rod has a diameter of 5.050 0 cm.
(a) If only the ring is warmed, what temperature must
it reach so that it will just slip over the rod? (b) What If?
If both the ring and the rod are warmed together, what tem-
perature must they both reach so that the ring barely slips
over the rod? (c) Would this latter process work? Explain.
Hint: Consult Table 19.2 in the next chapter.
A ring made of brass is to slip in a steel cylinder. At 22.0°C, the brass ring has an inner diameter of 6.000 cm while the diameter of the steel cylinder is 6.050 cm. (a) At what temperature must the ring be brought for it to slip in the cylinder if only the ring will be warmed? (b) If both the ring and the cylinder will be warmed, what must be the corresponding final temperature for the ring to slip in the cylinder?
Thermodynamics
Chapter 20 Solutions
Physics for Scientists and Engineers
Ch. 20 - Prob. 1PCh. 20 - Prob. 2PCh. 20 - Prob. 3PCh. 20 - Prob. 4PCh. 20 - Prob. 5PCh. 20 - Prob. 6PCh. 20 - Prob. 7PCh. 20 - Prob. 8PCh. 20 - Prob. 9PCh. 20 - Prob. 10P
Ch. 20 - Prob. 11PCh. 20 - Prob. 12PCh. 20 - Prob. 13PCh. 20 - Prob. 14PCh. 20 - Prob. 15PCh. 20 - Prob. 16PCh. 20 - Prob. 17PCh. 20 - Prob. 18PCh. 20 - Prob. 19PCh. 20 - Prob. 20PCh. 20 - Prob. 21PCh. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 28PCh. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Prob. 33PCh. 20 - Prob. 34PCh. 20 - Prob. 35PCh. 20 - Prob. 36PCh. 20 - Prob. 37PCh. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Prob. 53PCh. 20 - Prob. 54PCh. 20 - Prob. 55PCh. 20 - Prob. 56PCh. 20 - Prob. 57PCh. 20 - Prob. 59P
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- A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardIt is desired to just able to slip the 16.0 mm diameter glass marble through an aluminum washer. At 68.0 F, the inner diameter of the washer is 15.98 mm. To what temperature in Fahrenheit should the aluminum washer be heated for the marble just able to slip through. The marble remains at 68.0 F. aluminum = 2.3x10-50 C-1; and glass = 2.7x10-50 C-1. [Answer in 3 significant figures]arrow_forwardA circular hole in a copper plate has a diameter 4.629 cm at 20.000 °C. What is its diameter when the temperature of the plate is raised by 201 C°? The coefficient of volume expansion of copper is 51 x10C°.arrow_forward
- At 22°C, an aluminum ring has an inner diameter of 6.000 0 cm and a brass rod has a diameter of 6.040 0 cm. (a) If only the ring is warmed, what temperature must it reach so that it will just slip over the rod?(b) If both the ring and the rod are warmed together, what temperature must they both reach so that the ring barely slips over the rod?arrow_forwardAt 19.0°C an aluminum ring has an inner diameter of 6 cm, and a brass rod has a diameter of 6.090cm. Keeping the brass rod at 19.0°C,to what temperature must the aluminum ring be heated toallow the ring tojust slip over the brass rod? Final answer should be in F.arrow_forwardTo ensure a tight fit. the aluminum rivets used in airplane construction are made slightly larger that the rivet holes and cooled by dry ice before being driven. If the diameter of a hole is 0.500 cm. what should be the diameter of a rivet at 20 degree Celsius if its diameter is equal that of a hole when the rivet is cooled to -78°C, the temperature of dry ice? Assume the coefficient of linear expansion to remain constant.arrow_forward
- Older railroad tracks in the U.S. are made of Part A 12-m-long pieces of steel. When the tracks are laid, gaps are left between the sections to prevent buckling when the steel thermally expands. If a track is laid at 16° C, how large should the gaps be if the track is not to buckle when the temperature is as high as 50° C? The coefficient of linear expansion of soft steel is 1.1 × 10-5 °C-1. Express your answer with the appropriate units. HẢ .... Value %3D Submit Previous Answers Request Answerarrow_forwardb) It is desired to just able to slip the 16.0 mm diameter glass marble through an aluminum washer. At 20.0 °C, the inner diameter of the washer is 15.98 mm. To what temperature should the aluminum washer be heated for the marble just able to slip through. The marble remains at 20.0°C. aluminum = 2.3x10-50 C-1; and glass = 2.7x10-5° C-1. [Answer in 2 significant figures]arrow_forwardTo ensure a tight fit, the aluminum rivet used in airplane construction are made slightly larger than the rivet holes and cooled by dry ice (solid CO2) before being driven. If the diameter of a hole is 0.500 cm, what should be the diameter of a rive at 20 degree Celsius if its diameter is equal that of a hole when the rivet is cooled to -78 degree Celsius, the temperature of dry ice? Assume the coefficient of expansion to remain constant. Pls include fbdarrow_forward
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