The following data refer to a horizontal reciprocating engine:

Mass of reciprocating parts \(=125 \mathrm{~kg}\), crank length \(=100 \mathrm{~mm}\), length of connecting rod between centres \(=500 \mathrm{~mm}\), engine speed \(=600 \mathrm{rpm}\), mass of connecting rod \(=100 \mathrm{~kg}\), distance of mass centre of connecting rod from the small end centre \(=200 \mathrm{~mm}\), radius of gyration about mass centre axis \(=160 \mathrm{~mm}\).

Determine the magnitude and direction of the inertia torque on the crankshaft when the crank has turned \(30^{\circ}\) from IDC.