An angle grinder uses a 150 mm (0.15 m) diameter abrasive disc spinning at 10,000 RPM. A small 5-gram (0.005 kg) fragment breaks off the edge. Calculate the tangential velocity ($v$) of the fragment as it flies off.

Using the previous example, calculate the kinetic energy of the 5-gram fragment striking a worker's face shield.

A pneumatic nail gun operates safely at a maximum line pressure of 120 PSI. A worker bypasses the compressor's regulator, attaching the tool directly to a 180 PSI line. The internal piston has an area of 2 square inches. Calculate the increase in driving force.

A carpenter removes the lower blade guard from a circular saw to make plunge cuts faster. They set the saw down on a workbench while the blade is still spinning down. The exposed teeth catch the wood, propelling the saw backward into the worker's leg.

A worker installs a new abrasive wheel on a bench grinder without performing a "ring test" or checking the RPM rating. They turn on the grinder, and the wheel explodes instantly, causing severe lacerations.