Question #57763

A bug completes one lap along the edge of
a circular planter of radius 23.6 cm in 17.59 s.
How fast was it traveling?
1

Expert's answer

2016-02-16T00:00:57-0500

Answer on Question 57763, Physics – Mechanics | Relativity

Question:

A bug completes one lap along the edge of a circular planter of radius 23.6cm23.6 \, \text{cm} in 17.59 s. How fast was it travelling?

Solution:

We can find the velocity of the bug from the formula:


v=st,v = \frac{s}{t},


here, ss is the distance travelling by the bug, tt is time.

Let's find the distance travelling by the bug (basically, it is a circumference of the circle):


s=2πr=23.140.236m=1.48m.s = 2\pi r = 2 \cdot 3.14 \cdot 0.236 \, m = 1.48 \, m.


Then, we can substitute ss into the first formula and find the velocity of the bug:


v=st=1.48m17.59s=0.084ms.v = \frac{s}{t} = \frac{1.48 \, m}{17.59 \, s} = 0.084 \, \frac{m}{s}.


Answer:


v=0.084ms.v = 0.084 \, \frac{m}{s}.


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