A particle travels 16 times around a 18-cm radius circle in 37 seconds. What is the average velocity (in m/s) of the particle?

Question

anonymous · Answer

oh jeeze. 2 different answers lol

anonymous · Answer

and they're gone...

anonymous · Answer

so T is period right? and a period is how long it takes for one revolution so 37/16=2.3125

anonymous · Answer

and V=2pir/T I think

anonymous · Answer

Average velocity is displacement over time. Since the particle ends in the same spot as it started its average velocity is 0. If you're looking for average speed it would be total distance traveled over time:
$$D=(2π∗r)*16=2∗3.14∗18*16=1808cm=18.08m$$
V=D/t=18.08/37=.489m/s

anonymous · Answer

so V=((2)(pi)(18))/2.3125

anonymous · Answer

am I wrong?

anonymous · Answer

V=48.9

anonymous · Answer

I just need confirmation that I'm doing it right lol

anonymous · Answer

I think I did it right, I just forgot to convert cm to m

anonymous · Answer

If you are finding average speed, yes you're doing it right (except check your units). Average velocity would be 0 m/s

anonymous · Answer

so the answer is .489 m/s?

anonymous · Answer

Thank you!

anonymous · Answer

$$V=r \omega$$
$$\omega =(16*2\pi)\div37 =2.7 radians/\sec$$
$$r=0.18 m$$
$$Velocity, V=0.18*2.7=0.486m/s$$