Question

?wo people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of $1.7 \times 10^{-3}$ $\mathrm{rad} / \mathrm{s},$ while the other has an angular speed of $3.4 \times 10^{-3} \mathrm{rad} / \mathrm{s} .$ How long will it be before they meet?

Name: Problem 13, Chapter 8: Physics
Uploaded: 2021-03-08T07:47:46-08:00
Duration: 1 min 21 s
Channel: Khoobchandra Agrawal
Description: ?wo people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.7 ×10^-3 rad / s, while the other has an angular speed of 3.4 ×10^-3 rad / s . How long will it be before they meet?

   ?wo people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of $1.7 \times 10^{-3}$ $\mathrm{rad} / \mathrm{s},$ while the other has an angular speed of $3.4 \times 10^{-3} \mathrm{rad} / \mathrm{s} .$ How long will it be before they meet?

Physics

John D. Cutnell,… 11th Edition

Chapter 8, Problem 13

Instant Answer

Solved by Expert Khoobchandra Agrawal

03/08/2021

Step 1

This means that their angular speeds will add up when considering how long it will take for them to meet. Show more…

Show all steps

Thanks for your feedback!

?wo people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of $1.7 \times 10^{-3}$ $\mathrm{rad} / \mathrm{s},$ while the other has an angular speed of $3.4 \times 10^{-3} \mathrm{rad} / \mathrm{s} .$ How long will it be before they meet?

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Angular Speed

Angular speed is a measure of the rate at which an object rotates around a circle, expressed in radians per second. It quantifies how much of the circle (in radians) is covered per unit time, and is fundamental in analyzing rotational motion.

Relative Angular Speed

When two objects are moving along the same circular path, especially in opposite directions, their relative angular speed is the sum of their individual angular speeds. This combined speed represents how quickly the angular separation between them is changing, and is crucial for determining when they will meet or pass each other.

Circular Motion and Meeting Conditions

In circular motion, if two objects start at the same point and move in opposite directions, they will meet after completing a combined angular displacement equivalent to one full circle, which is 2? radians. By dividing the total angle by the relative angular speed, one can calculate the time required for the objects to meet.

Please give Ace some feedback