What is the relationship between period, frequency, and angular velocity?

[bfusco]

Homework Statement

im confused on something. if the period is the amount of time to make 1 spin once, and the frequency is the inverse of that, i don't understand how frequency isn't the same thing as centripetal velocity.

 

[PeterO]

Homework Statement

im confused on something. if the period is the amount of time to make 1 spin once, and the frequency is the inverse of that, i don't understand how frequency isn't the same thing as centripetal velocity.

I have heard of Centripetal acceleration, but never centripetal velocity??

Do you perhaps mean angular velocity ω - which I have often seen written in radians per second, not (full) cycles per second, so they would vary by a factor of 2∏

 

[gneill]

Homework Statement

im confused on something. if the period is the amount of time to make 1 spin once, and the frequency is the inverse of that, i don't understand how frequency isn't the same thing as centripetal velocity.

Perhaps because there's no such thing as centripetal velocity?

Are you thinking of angular velocity? The units of that are radians per second. This is not the same thing as cycles per second (frequency), since in rotational motion a "cycle" comprises $2\pi$ radians of angular distance. Thus ω = $2\pi f$.

 

[bfusco]

Perhaps because there's no such thing as centripetal velocity?

Are you thinking of angular velocity? The units of that are radians per second. This is not the same thing as cycles per second (frequency), since in rotational motion a "cycle" comprises $2\pi$ radians of angular distance. Thus ω = $2\pi f$.

wait...can angular velocity be calculated in revs/minute, or radians/sec? i thought that the revs/min was "centripetal velocity", and radians/sec was angular velocity

 

[gneill]

wait...can angular velocity be calculated in revs/minute, or radians/sec? i thought that the revs/min was "centripetal velocity", and radians/sec was angular velocity

RPM, RPS, and radians/sec are all measures of angular velocity. They are all related by conversion actors. A "revolution" is $2 \pi$ radians.

 

[bfusco]

RPM, RPS, and radians/sec are all measures of angular velocity. They are all related by conversion actors. A "revolution" is $2 \pi$ radians.

oh...didnt know that