I was noodling this morning about the energy involved in spinning grinding wheels. Anyone can look up the equations, but here are few assumptions:
density of wheel = 2.1 g/cc
Rotational speed = 3600rpm (377 rad/s)
I was especially curious about the difference between a standard 6x0.5" wheel and a "big" 8x1" wheel.
Rotational energy:
8" wheel = 624 Joules
6" wheel = 100 Joules
The 8" wheel weighs 3.75 pounds. To get a sense for 624 Joules, that is the same kinetic energy as that 3.75lb wheel traveling at 60mph!!
Also, if you assume a startup time of 2 seconds, it takes 312W (0.42HP) to get the 8" wheel to 3600rpm. I guess it makes sense that you'd need a 3/4 or 1HP "rated" motor to do that from a dead stop.
Anyway, fun with physics
density of wheel = 2.1 g/cc
Rotational speed = 3600rpm (377 rad/s)
I was especially curious about the difference between a standard 6x0.5" wheel and a "big" 8x1" wheel.
Rotational energy:
8" wheel = 624 Joules
6" wheel = 100 Joules
The 8" wheel weighs 3.75 pounds. To get a sense for 624 Joules, that is the same kinetic energy as that 3.75lb wheel traveling at 60mph!!
Also, if you assume a startup time of 2 seconds, it takes 312W (0.42HP) to get the 8" wheel to 3600rpm. I guess it makes sense that you'd need a 3/4 or 1HP "rated" motor to do that from a dead stop.
Anyway, fun with physics









