The problem involves calculating the velocity of a point on a rotating disc, specifically one that rotates at 800 rpm. The original poster attempts to derive the velocity using the relationship between frequency, period, and distance traveled in one revolution.
Some participants confirm the original poster's calculations and suggest that the approach is valid. There is a focus on ensuring that units are correctly carried through the calculations, indicating a productive exploration of the topic.
Participants note the importance of unit consistency in the calculations, particularly regarding the period and its implications for the final velocity unit. There is an acknowledgment of the need to clarify any assumptions related to the setup of the problem.
Awesome! Thank you.RUber said:That is correct.
You could also have seen that 40/3 rps can be directly translated into a speed by replacing the r in rps with the distance covered in 1 revolution (2 pi r).
That would give you the same result ##\frac{80 \pi r}{ 3}##m/sec.
Ohh... I see. Thank yougneill said:Yes, that works. You need to carry the "seconds" unit through to the end though. The period T has seconds as its unit.
Otherwise you'll end up with a "velocity" with units of distance rather than distance/time.