A two wheeler of \(350 \mathrm{~mm}\) wheel radius is negotiating a turn of radius \(80 \mathrm{~m}\) at a speed of \(100 \mathrm{~km} / \mathrm{h}\). The combines mass of vehicle with its rider is \(250 \mathrm{~kg}\). The C.G. of rider is 0.6 \(\mathrm{m}\) above the ground level. The mass moment of inertia of engine flywheel is \(0.3 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and moment of inertia of each road wheel is \(1.0 \mathrm{~kg} \cdot \mathrm{m}^{2}\). If the speed of the engine is 5 times the speed of the wheel and in the same direction, find angle of heel of vehicle.