InterviewSolution
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InterviewSolution
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Figure shown a cylindrical tube of radius `r` and lengh `l` fitted with a cork. The friction coefficient between the cork and the tube is mu. The tube contains an ideal gas at temperature `T`, and atmospheric pressure `P_(0)` The tube is slowly heated , the cork pipe out when temperature is boubled. What is normal force per unit length exerted by the periphery of tube? Assume uniform temperature throughout gas any instant. |
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Answer» Since volume of the gas is constant, `(P_(i))/(T_i)=(P_f)/(T_(f)` `P_(f)=P_(i)((T_(F))/T_(i))=2P_(i)=2P_(0)` The Forces actihg on the cork are shown in the figure in equilibrium. `P_(0)xxA+muN=2P_(0)A` `N=(P_(0)A)/mu` `N` is the total normal force exerted by the tube on the cork, hence contact force per unil length is `(dN)/(dl)=(N)/(2pir)`=`(P_(0)A)/(2pimur)` |
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