A fine-grained soil has a liquid limit (LL) of 90 %, and a plasticity index (PI) of 51 %. Considering the water content (w) as large as 28 %.
a. Calculate the liquidity index (LI) and indicate the consistency of the soil. Moreover, classify this soil according to both the Unified Soil Classification System and the AASHTO system.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?