Figure shows a wheel rotating about O₂. Two points A and B located along the radius of wheel have speeds of 80 m/s and 140 m/s respectively. The distance between the points A and B is 300 mm. The diameter of the wheel (in mm) is __________

The number of degrees of freedom of the linkage shown in the figure is

A gear train is made up of five spur gears as shown in the figure. Gear $$2$$ is driver and gear $$6$$ is driven member. $${N_{2,}}{N_{3,}}{N_{4,}}{N_5}$$ and $${N_6}$$ represent number of teeth on gears $$2,3,4,5,$$ and $$6$$ respectively, The gear(s) which act(s) as idler(s) is/are

The torque (in N-m) exerted on the crank shaft of a two stroke engine can be described as is the crank angle as $$\,\,T = 10000 + 1000\sin 2\theta - 1200\,\cos 2\theta ,\,\,$$ where $$\,\theta \,\,$$ is the crank angle as measured from inner dead center position. Assuming the resisting torque to be constant, the power (in $$kW$$) developed by the engine at $$100$$ rpm is ________.