Answer to Question #247101 in Optics for Rence

Question

it takes 365 days for the earth to complete one revolution around the sun. Calculate period, frequency and angular frequency of earth as it revolves around the sun

Answer 1

(a) We can find the period as follows:

$$T=365\ days\cdot\dfrac{24\ h}{1\ day}\cdot\dfrac{3600\ s}{1\ h}=3.15\cdot10^7\ s.$$

(b) We can find the frequency as follows:

$$f=\dfrac{1}{T}=\dfrac{1}{3.15\cdot10^7\ s}=3.2\cdot10^{-8}\ Hz.$$

(c) We can find the angular frequency as follows:

$$\omega=2\pi f=2\pi\cdot3.2\cdot10^{-8}\ Hz=2.0\cdot10^{-7}\ \dfrac{rad}{s}.$$