Why Use 3.14 for Pi in T = 2(pi) / w?

  • Thread starter Thread starter Darth Frodo
  • Start date Start date
  • Tags Tags
    Pi
Click For Summary
SUMMARY

The discussion clarifies the use of the constant 3.14 for Pi in the formula T = 2(pi) / w, where T represents the period and w is the angular frequency in radians per second. It emphasizes that Pi is inherently a radian measure, and thus using 3.14 is appropriate for calculations involving angular motion. The confusion arises from the misconception that Pi should be converted to degrees, which is incorrect in this context. The conclusion is that Pi in radians is correctly represented as 3.14 in the formula.

PREREQUISITES
  • Understanding of angular frequency (w) in radians per second
  • Familiarity with the concept of period (T) in oscillatory motion
  • Basic knowledge of trigonometric functions and their applications
  • Comprehension of the relationship between radians and degrees
NEXT STEPS
  • Study the derivation of the formula T = 2(pi) / w in the context of harmonic motion
  • Learn about the significance of radians in trigonometry and physics
  • Explore the relationship between angular frequency and linear frequency
  • Investigate common misconceptions in the use of Pi in mathematical formulas
USEFUL FOR

Students and professionals in physics, engineering, and mathematics who require a clear understanding of angular motion and the application of Pi in formulas.

Darth Frodo
Messages
211
Reaction score
1
When I'm using formulas such as T = 2(pi) / w I thought Pi should be in Radians as w is in rad/sec yet when I look at an example it uses 3.14. Why is it 3.14 instead of 180?
 
Physics news on Phys.org
Darth Frodo said:
When I'm using formulas such as T = 2(pi) / w I thought Pi should be in Radians as w is in rad/sec yet when I look at an example it uses 3.14. Why is it 3.14 instead of 180?

##\pi## radians is equivalent to 180 degrees.
 
Thanks. A major brain fart on my part.
 

Similar threads

  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 5 ·
Replies
5
Views
998
  • · Replies 8 ·
Replies
8
Views
1K
Replies
11
Views
3K
  • · Replies 19 ·
Replies
19
Views
2K
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
Replies
15
Views
2K