# calculus

posted by
**mike**
.

(Use the fact that the kinetic energy of a particle of mass "m" moving at speed "v" is (1/2)m(v^2). Slice objects into pieces in such a way that the velocity us approximately constant on each piece.)

Q: Find the kinetic energy of a rod of mass 10kg and length 6m rotating about an axis perpendicular to the rod at its midpoint, with an angular velocity of 2 radians per second. (Imagine a helicopter blade of uniform thickness.)