Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.10 10-3 rad/s, while the other has an angular speed of 3.90 10-3 rad/s. How long will it be before they meet?

I can NOT figure it out. I got 20 and it isn't right.

To determine the time it takes for the two people to meet, we need to consider the relative angular speed between them. The relative angular speed is the difference between the angular speeds of the two individuals.

In this case, the relative angular speed can be calculated as follows:

Relative angular speed = Angular speed of person A - Angular speed of person B

Relative angular speed = 1.10 x 10^-3 rad/s - 3.90 x 10^-3 rad/s

Relative angular speed = -2.80 x 10^-3 rad/s

Since the two individuals are moving in opposite directions, the relative angular speed is negative.

The distance covered by each person can be represented as the product of the angular speed and the time taken:

Distance covered by person A = Angular speed of person A × Time

Distance covered by person B = Angular speed of person B × Time

Since it is a circular path, the distance covered by each person is the same when they meet. Therefore, we can equate the distances and calculate the time required for them to meet.

Angular speed of person A × Time = Angular speed of person B × Time

Simplifying this equation, we get:

Time = 0 / Relative angular speed

Time = 0 / (-2.80 x 10^-3 rad/s)

As the relative angular speed is negative, it means they are already at the same position, and no time is required for them to meet.

Therefore, the time it takes for them to meet is instantaneous, as they start at the same place.

got it, nevermind