Uniform Circular Motion - distance

[AlexanderIV]

Homework Statement

An object with mass m = 2 kg is moving in a uniform circular motion with radius r = 2m as shown in the figure. It takes π seconds for the object to travel from θ =0 to θ = 180 degrees. What is the distance traveled by the object in 20 s?

http://prikachi.com/images.php?images/227/9200227h.png

Homework Equations

s = rq (?)
C = 2πr

The Attempt at a Solution

I was thinking that since the distance from 0 to 180 degrees is taken for π seconds, this means the distance would be C= (2πr)/2 since 180 degrees is a half circle. Which means C = (2π2) / 2 = 2π

Then I do the following evaluation:
2π / 20 = π / 4π

I am not sure how to solve this. I feel like I am approaching the problem in a wrong way. In my attempted solution I do not use the mass at all, but it is given, therefore it should be relevant, right?

 

[kuruman]

Hi Alexander IV and welcome to PF.


The distance s traveled by any object moving at constant speed v (the case here) during time interval t is given by s = vt. You are given enough information.
1. it travels distance πr meters in π seconds. find v.
2. Knowing v from the previous step, find how far it travels in 20 seconds.

The mass is irrelevant. The object could be a bug flying in a circle or a train on a track.

 

[AlexanderIV]

Hi Alexander IV and welcome to PF.


The distance s traveled by any object moving at constant speed v (the case here) during time interval t is given by s = vt. You are given enough information.
1. it travels distance πr meters in π seconds. find v.
2. Knowing v from the previous step, find how far it travels in 20 seconds.

The mass is irrelevant. The object could be a bug flying in a circle or a train on a track.

I solved it! Thank you!