Arod having a diameter of 2 cm and a length of 10cm has one end maintained at 200°c and is exposed to a convection environment at 25°c with h = 40 w/m2 k. the rod generates heat internally at a rate of 50 mw/m3 and the thermal conductivity of the rod is k 35 w/m k. (a) derive the nodal equation for node 3, using symbols for h, k, ax, d and q (b) -substitute numerical values for each of the given quantities and obtain an expression for the unknown nodal tem- perature t3.

To do work, this truck uses energy stored in chemical fuel and an electrical battery. how much total energy does this truck put out?

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)

Sound is a disturbance that travels through a medium as a