Question

an artificial satellite takes 90 minutes to complete its Revolution around the earth calculate the angular speed of satellite

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Time taken to complete 1 revolution

= 90

= (60 × 60)s

★Angle subtended at centre of earth

${\boxed{2\pi rad}}$

★Hence :-

${\boxed{Angular\; Displacement}}$

θ = 2π rad

★Using formula of Angular Speed :-

$\tt{\rightarrow Angular\;Speed=\dfrac{Angular\; Displacement}{Time\;Taken}}$

$\tt{\rightarrow\dfrac{2\pi rad}{90\times 90}}$

$\tt{\rightarrow\dfrac{2\pi}{90\times 60}}$

$\tt{\rightarrow\dfrac{2\times 3.141}{90\times 60}}$

= 0.00116 rad/s

$\boxed{\begin{minipage}{11 cm} Additional Information \\ \\ \ Distance = Speed\times Time \\ \\ Displacement=Velocity\times time \\ \\ Average\; Speed = \dfrac{Initial\:\:Speed+Final\:\:Speed}{2} \end{minipage}}$