The rotation of rod oa about o is defined by the relation θ= 0.5e^ -0.8t*sin3πt, where θ and t are expressed in radians and seconds, respectively. collar b slides along the rod so that its distance from o is r= 1 + 2t- 6t^2 + 8t^3, where r and t are expressed in feet and seconds, respectively. when t= 0.5 s, determine

(a) the velocity of the collar

(b) the acceleration of the collar

(c) the acceleration of the collar relative to the rod.

To design a steam turbine to produce 12,000 hp power. a engineer comsiders using a steady state stean low st 1160fr and engineer considers using a steady state steam flow at 1160°r and 450 psia to drive this steam turbine. the exhaust of the steam is cooled by the lake (vacuum). heat losing to the surroundings is measured at a rate of 555.55 btu/s. (a) sketch the system with the given conditions. (b) neglecting kinetic and potential energy changes from inlet to exit, determine the volumetric flow rate of the steam at the inlet, (ft'/hr). must clearly show unit conversions at crtical terms.