Dimensions of Angles - Measurements & Calculations

  • Thread starter Thread starter mahtab
  • Start date Start date
  • Tags Tags
    Angles Dimensions
AI Thread Summary
Angles are dimensionless, meaning they do not have units of measurement. It is more effective to consider angles in terms of arcs, specifically using the radian measure. The radian is defined as the length of the arc subtended by the angle at a radius r, divided by r, resulting in a dimensionless ratio. Trigonometric functions like cosine and sine operate on these dimensionless angles. Understanding angles in this way clarifies their mathematical properties and applications.
mahtab
Messages
4
Reaction score
0
what are the dimensions of angles?
 
Physics news on Phys.org
Angles don't have units. It might be better to think of angles in terms of arcs. The "radian" measure of an angle is the length of the arc it subtends at a distance r divided by r. Since those are both distance measures, their ratio is "dimensionless".
 
Welcome to PF!

mahtab said:
what are the dimensions of angles?

Hi mahtab! Welcome to PF! :smile:

Angles are dimensionless.

Cos, sin, etc, are functions of angles, and, like log, they can only be functions of dimensionless numbers. :smile:
 
thank you HallsofIvy&tiny-tim !:)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Flux through a cylindrical surface enclosing part of a sphere
Replies
9
Views
498
Calculate the speed and angle of the center of mass before a collision
Replies
3
Views
854
How Does Dimensionality Affect Phonon Polarizations?
Replies
1
Views
947
Big Ben In N Dimensions
Replies
6
Views
743
Motion in 2 dimensions
Replies
30
Views
473
I Dimension of an Angle: Clarifying the SI Standard
Replies
1
Views
2K
A moving boat with a flag on its mast
Replies
15
Views
905
Trigonometry Help: Calculating the Angle of Light Entry & Exit
Replies
9
Views
2K
Calculate the best angle for maximum light dispersion through a medium
Replies
2
Views
1K
How far will the bottom gate of a reservoir open?
2
Replies
56
Views
3K

Hot Threads

Recent Insights

Back
Top