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The average angular speed of a fly moving in
a circle is 7.9 rad/s.
How long does the fly take to move through
2.1 rad?
Answer in units of s.

Verified Answer :

GinnyAnswer

To find out how long the fly takes to move through an angular displacement of 2.1 radians given its average angular speed of 7.9 rad/s, we can use the formula for angular speed:

\(\[ \text{angular speed} = \frac{\text{angular displacement}}{\text{time}} \]\)

Rearranging this formula to solve for time, we get:

\(\[ \text{time} = \frac{\text{angular displacement}}{\text{angular speed}} \]\)

Given:
- Angular speed (\(\(\omega\)\)) = 7.9 rad/s
- Angular displacement (\(\(\theta\)\)) = 2.1 rad

We substitute these values into the equation:

\(\[ \text{time} = \frac{2.1 \, \text{rad}}{7.9 \, \text{rad/s}} \]\)

Calculating this gives:

\(\[ \text{time} \approx 0.266 \, \text{s} \]\)

Thus, the fly takes approximately 0.266 seconds to move through 2.1 radians.