Final answer:
To drill one accurate hole through the center of a cylindrical workpiece, securely set up the workpiece, use a center drill for guiding purpose, followed by a proper drill bit that operates at high speed. For a wood lathe, changing the RPM of the motor alters the angular velocity of the wood while it spins.
Step-by-step explanation:
The fastest way to drill one accurate hole through the center of a cylindrical workpiece would involve precise setup and the use of proper machinery. Setting up the workpiece securely and using a center drill to create a guide for the drill bit ensures accuracy. Following the center drill, a standard twist drill bit can continue to drill through the cylindrical workpiece at a high but controlled speed, while constantly being cooled and lubricated to prevent overheating and to maintain the integrity of the hole's dimensions.
When working with a piece of wood on a lathe, the angular velocity of the wood changes as per the lathe's settings. If the lathe's motor is set to a certain RPM (revolutions per minute), and you increase or decrease the RPM, you subsequently increase or decrease the angular velocity accordingly. In this context, the angular velocity is the rate at which the wood spins along its axis, and is typically measured in radians per second.