The discussion revolves around calculating power from torque and angular velocity in a motor context. The original poster presents a problem involving a motor with a specified torque and frequency of revolutions per second, seeking to determine its power output.
Some participants have provided guidance on the correct interpretation of frequency as it relates to angular velocity. There is an ongoing exploration of the calculations involved, with differing interpretations of the results being discussed.
Participants note potential confusion regarding the definitions of frequency and angular frequency, as well as the implications of these terms on the calculations being performed. The original poster's initial calculations are questioned, indicating a need for clarification on the relationships between the variables involved.
I think you're confusing frequency and angular frequency. You've ended up multiplying the given revolutions per second by 2π twice.Pablo said:f = 4 * 2π = 8π
w = 2π * (8π) = 16π^2
Ah okay, so when they say the frequency they mean the angular velocity right. So it'd be 500 watts.gneill said:I think you're confusing frequency and angular frequency. You've ended up multiplying the given revolutions per second by 2π twice.
One revolution is 2π radians of angular displacement. So 4 revolutions per second is 4 x 2π radians per second and is the angular velocity, ω.
When they say "frequency" they mean "events per unit time". If the "events" in question happen to be rotations then you can interpret them as 2π radian angular displacements. From there you can calculate the angular velocity by multiplying the frequency by 2π.Pablo said:Ah okay, so when they say the frequency they mean the angular velocity right. So it'd be 500 watts.