RPM, or, revolutions per minute, is a measure of angular velocity, ω. If I was feeling a little snarky today, I would tell you that the equation for RPM was revolutions/minutes.
Alas, angular velocity is defined by the equation P=τω and ω=v/r, where P is power in watts, τ is torque in newton-meters, v is velocity in meters per second, and r is radius of the rotating body in meters. As you can see in the τω expression, torque is inversely proportional to angular velocity, when considering a system sustained with a constant power P. With a little bit of algebra, you can also note that P=τv/r, which implies that as radius increases, the torque must as well for the same unit of power and linear velocity.
The implications of the inverse relationship between ω and τ are found pretty often in vex with gears. As you increase the radius of one input gear relative to its meshed, driven partner, the angular velocity of the output increases by the ratio of the sizes of the gears- while the torque decreases by that same factor.
So, simply put, the formula for rpm in vex is i can’t do this anymore
rpm = revolutions/minutes you’re welcome