The track of a tracked vehicle is made up of hardened steel segments bonded to rubber connectors. When the vehicle is in motion the rubber is subjected to a tension-compression cycle as the track passes over the front and rear drive sprockets. If the vehicle travels at \(20 \mathrm{kph}\), each unit of the rubber is stretched and compressed roughly 1 per second. The thermal conductivity of rubber is extremely low. If the maximum strain \(\varepsilon_{\max }\) in the rubber is \(\pm 0.4\) and no heat is lost from it, how hot will the rubber get after 30 minutes? Take the volume specific heat \(C_{p} ho\) of the rubber used for the track to be \(2.5 \times 10^{6} \mathrm{~J} / \mathrm{m}^{3} \mathrm{~K}\), its modulus \(E\) is \(2 \times 10^{-3} \mathrm{GPa}\) and its loss coefficient \(\eta\) is 0.5 .