Find the frequencies f and \omega of a sine-wave signal with a period of 1 \ \text{ms}. 💪 🙃
logistic_guy Senior Member Joined Apr 17, 2024 Messages 1,380 Feb 10, 2025 #1 Find the frequencies f\displaystyle ff and ω\displaystyle \omegaω of a sine-wave signal with a period of 1 ms\displaystyle 1 \ \text{ms}1 ms.
Find the frequencies f\displaystyle ff and ω\displaystyle \omegaω of a sine-wave signal with a period of 1 ms\displaystyle 1 \ \text{ms}1 ms.
logistic_guy Senior Member Joined Apr 17, 2024 Messages 1,380 Feb 22, 2025 #2 T=1×10−3 s\displaystyle T = 1 \times 10^{-3} \ \text{s}T=1×10−3 s f=1T=11×10−3=1000 Hz\displaystyle f = \frac{1}{T} = \frac{1}{1 \times 10^{-3}} = 1000 \ \text{Hz}f=T1​=1×10−31​=1000 Hz
T=1×10−3 s\displaystyle T = 1 \times 10^{-3} \ \text{s}T=1×10−3 s f=1T=11×10−3=1000 Hz\displaystyle f = \frac{1}{T} = \frac{1}{1 \times 10^{-3}} = 1000 \ \text{Hz}f=T1​=1×10−31​=1000 Hz
logistic_guy Senior Member Joined Apr 17, 2024 Messages 1,380 Feb 24, 2025 #3 ω=2πf=2π1000=2000π rad/s\displaystyle \omega = 2\pi f = 2\pi 1000 = 2000\pi \ \text{rad/s}ω=2πf=2π1000=2000π rad/s
ω=2πf=2π1000=2000π rad/s\displaystyle \omega = 2\pi f = 2\pi 1000 = 2000\pi \ \text{rad/s}ω=2πf=2π1000=2000π rad/s