Finding m/s with revolutions and radius

[Visual1Up]

I am confused on how to find m/s in the following problem:

r = 2.6km
one revolution of circle = 360s

I need it for ac = v^2/r

Thanks!,
-Mike

 

[rsk]

How many radians is 1 revolution?

How do you convert rad/sec to m/s?

 

[Visual1Up]

Well one rev is always 2pi, so 2pi/360s ... I am unsure of how to convert that. I found one solution that tells me to use C = 2(pi)r and v = d/t, so d = 2(pi)(2600m)... so v = 2(pi)(2600m)/360s ... v = 45.4 m/s? Is this the best way to do the problem or am I making it too complicated?

 

[rsk]

That looks right to me.

Angular velocity w = 2 pi / 360, and v is rw

that w is meant to be an omega

 

[Visual1Up]

ah, I see. v = rw does seem a lot more simple than what I did though