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) Thetube 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.

Figure shown a cylindrical tube of radius r and lengh l fitted with a

1.	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) Thetube 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.
Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a> volume of the gas is constant, <br/> `(P_(i))/(T_i)=(P_f)/(T_(f)`<br/>`P_(f)=P_(i)((T_(F))/T_(i))=2P_(i)=2P_(0)` <br/> The Forces actihg on the <a href="https://interviewquestions.tuteehub.com/tag/cork-426211" style="font-weight:bold;" target="_blank" title="Click to know more about CORK">CORK</a> are shown in the <a href="https://interviewquestions.tuteehub.com/tag/figure-987693" style="font-weight:bold;" target="_blank" title="Click to know more about FIGURE">FIGURE</a> in equilibrium. <br/> `P_(0)xxA+muN=2P_(0)A` <br/> `N=(P_(0)A)/mu` <br/> `N` is the total normal force exerted by the tube on the cork, hence contact force per unil length is<br/> `(dN)/(dl)=(N)/(2pir)`=`(P_(0)A)/(2pimur)`</body></html>