Question

What is the fundamental angular frequency of a square wave with a period of 0.02 s?
1. 200 π rad/s
2. 150 π rad/s
3. 100 π rad/s
4. 50 π rad/s

Answer 1

Correct Answer - Option 3 : 100 π rad/s

Angular Frequency :

• The angular frequency ω is given by ω = 2π/T.
• The angular frequency is measured in radians per second.
• The inverse of the period is the frequency f = 1/T.
• The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time.

 

Calculations:

Given t = 0.02 sec

f = 1 / t = 1 / (0.02) = 50 Hz

ω = 2 π f = 2 π / t

ω = 2 × π × 50

ω = 100 π rad/s