Answer:
[tex]T = 88560s[/tex]
[tex]\omega=7.1\times10^{-5}rad/s[/tex]
[tex]v=0.097m/s[/tex]
Explanation:
Since 1 hour has 60 minutes and 1 minute 60 seconds:
T = 24.6 hours = (24.6)(60)(60) seconds = 88560s
We use the formula for angular velocity for a revolution:
[tex]\omega=\frac{\Delta \theta}{\Delta t}=\frac{2\pi rad}{T}=\frac{2\pi rad}{88560s}=7.1\times10^{-5}rad/s[/tex]
Since the angular velocity is along the poles, the linear velocity at its equator can be obtained with:
[tex]v=r\omega=(3.4\times 10^6 m)(7.1\times10^{-5}rad/s)=0.097m/s[/tex]
