Angular velocity concept question

In summary, the conversation discusses the concept of angular velocity and how it relates to the rotation of clocks. The equation for angular velocity is mentioned and it is noted that the radius of Big Ben is larger, resulting in a smaller angular velocity. It is also mentioned that each clock goes 360° in the same time and the speed at the end of the hand is proportional to its length.
  • #1
idllotsaroms
26
0

Homework Statement



357r0vm.jpg


Homework Equations





The Attempt at a Solution



How are their angular velocities the same? I thought Angular velocity = v/r where v = velocity and r = radius.
In this case isn't the radius of big ben much larger and therefore have a much smaller angular velocity?
 
Physics news on Phys.org
  • #2
hi idllotsaroms! :smile:
idllotsaroms said:
How are their angular velocities the same? I thought Angular velocity = v/r where v = velocity and r = radius.
In this case isn't the radius of big ben much larger and therefore have a much smaller angular velocity?

angular velocity means angle per time

doesn't each clock goes 360° in the same time? :wink:

(and the speed, v, at the end of the hand is proportional to the length of the hand)
 

Related to Angular velocity concept question

1. What is angular velocity?

Angular velocity is a measure of the rate at which an object rotates or moves in a circular path. It is defined as the change in angular displacement over time.

2. How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angular displacement by the change in time. It is measured in radians per second (rad/s) or degrees per second (deg/s).

3. What is the difference between angular velocity and linear velocity?

Angular velocity measures the rotation of an object, while linear velocity measures the straight-line motion of an object. Angular velocity is expressed in angular units while linear velocity is expressed in linear units.

4. How does angular velocity relate to centripetal acceleration?

Angular velocity and centripetal acceleration are directly proportional. This means that as angular velocity increases, so does centripetal acceleration. This relationship is expressed by the equation a = ω²r, where a is the centripetal acceleration, ω is the angular velocity, and r is the radius of the circular path.

5. What are some real-life applications of angular velocity?

Angular velocity is used in a variety of fields, such as engineering, physics, and astronomy. It is used to study the motion of planets and stars, design roller coasters and other amusement park rides, and analyze the rotation of machinery and vehicles.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
218
  • Introductory Physics Homework Help
2
Replies
45
Views
2K
  • Introductory Physics Homework Help
10
Replies
335
Views
8K
  • Introductory Physics Homework Help
Replies
32
Views
1K
  • Introductory Physics Homework Help
Replies
25
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
2
Replies
40
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
772
Back
Top