The x, y, and z coordinates (in meters) of a particle P as a function of time (in seconds) are x 1⁄4 sin 3t, y 1⁄4 cos t, and z 1⁄4 sin 2t. At t 1⁄4 3s, determine:.(a) The velocity v, in Cartesian coordinates. (b) The speed v. (c) The unit tangent vector u (d) The angles θ θ)" and θ, tat v makes with the x-, y-, and z-axes. (e) The acceleration a in Cartesian coordinates. (f) The unit binormal vector u (g) The unit normal vector (h) The angles 9,, and that a makes with the x-, y-, and z-axes. (i) The tangential component at of the acceleration.(j) The normal component an of the acceleration. (k) The radius of curvature of the path of P (l) The Cartesian coordinates of the center of curvature of the path.{ Partial Ans: (b) 2.988 m/s; (d) θ,-139.7% (j) an-5.398 m/s, (1) xc=-0.4068 m) tangential com ponent a of the accele

Porque crees que el agua no podia subir mas de 10 m de altura con ese tipo de bomba

In a steady-flow steam power plant system, two adiabatic high-pressure and low-pressure turbines ane used to generate power. superheated steam enters the high-pressure turbine at 8 mpa and 550°c. the steam expands in the high-pressure turbine to a saturated vapor at 3 mpa. in order to increase the powe generation of the power plant, another steam turbine working in a lower pressure ranges is deployed. the outlet vapor from the first turbine is heated up at a boiler to the temperature of 500 c at the constant pressure of first turbine's outlet (3 mpa). then, the vapor enters the second turbine and produces extra work. the exit conditions of the second turbine are 5o kpa and 90 percent quality. if the total power output of the power plant is 25 mw, determine a) the mass flow rate of the water (kg/s). b) heat transfer rate in the boiler (mw). (30 points) 3 mpa 00 c 8 mpa s0 c high pres turbine low pres boiler turbine 50 kpa 3 mpa 09 saturated vapor t heat engine, shown in the figure, operates between high temperature and low temperature of through a heat 4. a carnot tn and tu respectively. this heat engine receives energy from a heat reservoir at t exchanger where the heat transferred is proportional to the temperature difference as ? = k (z,-7, ). it rejects heat at a given low temperature tl. to design the heat engine for maximum work output, find the high temperature, th, as a function of tes and t. (15 points) qe

Tall pacific coast redwood trees can reach heights of about 100 m. if air drag is negligibly small, how fast is a sequola cone moving when it reaches the ground f it dropped from the top of a 100 m tree?