Calculating speed, when given total time it took, and the radius

[_emmakala]

1. A bug walking on a circular flowerpot completes one lap around the plantar in 12.86s.
If the radius is of the plantar is 11 cm, how fast was it traveling? Answer in cm/s.



2. Homework Equations



3. The Attempt at a Solution
I tried dividing the diameter of the plantar by the speed & the speed by diameter. I tried the radius by the speed and vice-versa.

I appreciate any help anyone can give me! Thanks. :)

 

[Nathanael]

If he's walking on a circular flowerpot and completes "one lap" then presumably he's walking around the circumference of the pot, right?

So what is the distance that he traveled?

 

[_emmakala]

Thank you so much! So he traveled 69.1150 and then I would divide that by the total time it took which was 12.86 to get his speed which was 5.3744! Thank you so much!

 

[Nathanael]

Thank you so much! So he traveled 69.1150 and then I would divide that by the total time it took which was 12.86 to get his speed which was 5.3744! Thank you so much!

No problem.

But be careful! What are the units of his speed? (It's a very good habit to pay attention to units.)



Edit:
Nevermind, I just realized the OP says "answer in cm/s"


But still, it's good to notice units :)

 

[HalfLostAndSearching]

As a scientist, we can use the equation v = 2πr/t to calculate the speed of the bug. In this equation, v represents the speed, r represents the radius, and t represents the time it took to complete one lap. Plugging in the given values, we get v = 2 * 3.14 * 11 cm / 12.86 s = 6.83 cm/s. Therefore, the bug was traveling at a speed of 6.83 cm/s around the flowerpot. It is important to note that the units for speed should always match the units for distance and time, so we use cm/s as our final answer. I hope this helps!