A2.5 m long vane is rotated slowly in a circle. an optical encoder is attach to the vane at its center. it is necessary to know the tip position of the vane within +/-1 cm. what should be the resolution of the optical encoder attached to the shaft that positions the vane?

Abrake has a normal braking torque of 2.8 kip in and heat-dissipating cast-iron surfaces whose mass is 40 lbm. suppose a load is brought to rest in 8.0 s from an initial angular speed of 1600 rev/min using the normal braking torque; estimate the temperature rise of the heat dissipating surfaces.