Angular velocity lab experiment

[c-note]

Homework Statement

Hi guys,

We did a lab experiment in school, where we attached some weights to a hanger, and attached this to a pulley, for each weight attached, we dropped the weight hanger and recorded the time taken for the weight to pass through a sensor, this sensor system made use of 2 triggers and a light beam etc, so the sensor was triggered as the weight passed through a certain point, then the sensor stopped as the weight passed through the 2nd point. The distance between these 2 points is known, so Time could be recorded.

From the time reading for the weight to pass through the sensor part, I am trying to find angular velocity. I have diameter of the pulley, airspeed, etc...

Angular shaft velocity has to be in rad/s so do I just convert time to rad/s? by finding 1/T then divide by 2pi?

 

[jambaugh]

Angular velocity relates to linear velocity (of a point moving on a circle) in the same way angle relates to arclength.

s = r theta
v = r omega where omega is the angular velocity.
v/r = omega, where v is distance over time.

Note that v is in say cm/sec and r is in cm so you get units of "per second" for omega.
The "radian" unit is really a unitless number. When tracking units you can always add or remove radian units.

 

[c-note]

Thanks for your quick reply,

Those equations completely slipped my mind lol,

I kept over complicating it before,


thanks again,

carl