Calculating Angular Velocity and Gear Ratio for a Winding Drum

In summary, angular velocity is a measure of the rate of change of angular displacement, represented by the symbol ω (omega) and measured in radians per second. It differs from linear velocity, which refers to straight-line movement and is measured in meters per second. The main factors that affect angular velocity are the radius of rotation and the speed of rotation. Angular velocity can be negative, indicating a rotation in the opposite direction. It is used in various real-life applications, including machine and vehicle design, sports, and fields such as engineering, physics, and astronomy.
  • #1
ForgottenMemo
15
0

Homework Statement



q2.jpg



Homework Equations



w = 2PI f

v = wr

Time = 2PI R/V

The Attempt at a Solution



w = (2000/PI x 60) x 2PI = 66.66 Radians/Sec

V = wr = 66.6 x 300 = 19998 ( Is this velocity of the winding drum)

19998/200 = 99.99 ( Velocity/200 reduction gearbox, gives me the velocity of the motor?)


Help Appriciated.
 
Physics news on Phys.org
  • #2
The centripetal force was also given, but you didn't write down the corresponding formula...
 
  • #3
Sorry my mistake i have posting the wrong image its ment to be:

I was thinking to my self, iIve been working on that question, with someone from the froums.
q1.jpg
 

1. What exactly is angular velocity?

Angular velocity is a measure of the rate of change of angular displacement, or the speed at which an object is rotating around a fixed point. It is usually represented by the symbol ω (omega) and is measured in radians per second.

2. How is angular velocity different from linear velocity?

Angular velocity refers to the rotational movement of an object, while linear velocity refers to the straight-line movement of an object. Angular velocity is measured in radians per second, while linear velocity is measured in meters per second.

3. What factors affect angular velocity?

The main factors that affect angular velocity are the radius of rotation and the speed of rotation. Objects with a larger radius of rotation or a faster speed of rotation will have a higher angular velocity.

4. Can angular velocity be negative?

Yes, angular velocity can be negative. A negative angular velocity indicates that the object is rotating in the opposite direction of a positive angular velocity. It is important to note the direction of rotation when considering the sign of the angular velocity.

5. How is angular velocity used in real life?

Angular velocity is used in many real-life applications, such as in the design of machines and vehicles that involve rotational motion. It is also important in sports, such as figure skating and gymnastics, where the speed of rotation can affect the difficulty and execution of a movement. Additionally, understanding angular velocity is crucial in fields such as engineering, physics, and astronomy.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
873
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
938
  • Introductory Physics Homework Help
Replies
5
Views
964
  • Introductory Physics Homework Help
Replies
10
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
25
Views
2K
Back
Top