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1) A copper collar is to fit tightly about a steel shaft whose diameter is 6.008

ID: 1651915 • Letter: 1

Question

1) A copper collar is to fit tightly about a steel shaft whose diameter is 6.0088 cm at 18°C. The inside diameter of the copper collar at that temperature is 5.9800 cm. To what temperature must the copper collar be raised so that it will just slip on the steel shaft, assuming the temperature of both the steel shaft and copper collar are raised simultaneously? 1300 C Submit You currently have 3 submissions for this question. Only 10 submission are allowed You can make 7 more submissions for this question. Your submissions: 1300X Computed value: 1300 Submitted: Tuesday, September 5 at 7:29 PM Feedback:

Explanation / Answer

1] At the required temperature, booth will have same diameter

d = dc*(1+ alphac delta T) = ds*(1+ alphas deltaT)

5.9800*[1+ 17e-6 deltaT] =  6.0088*[1+ 13e-6 deltaT]

1 + 17e-6* deltaT = 1.004816+13.0626e-6 deltaT

deltaT (17e-6 - 13.0626e-6) = 0.004816

deltaT = 0.004816/(17e-6 -   13.0626e-6)

= 1223

requied temperature = 1223+18

= 1241 degree C answer