Question

6. An artificial satellite takes 120 minutes for
one complete revolution around the earth.
Calculate the angular velocity of the satellite​

Answer 1

Answer:

The angular speed of satellite is 0.00116 rad/s. The angular speed is the change of the angular displacement with the time. Hence, The angular speed of satellite is 0.00116 rad/s.

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Answer 2

$\bigstar$ Answer $\bigstar$

$\checkmark$ Given:

⇒ An artificial satellite takes 120 minutes for  one complete revolution around the earth

$\checkmark$ To Find:

⇒ Angular velocity ( ω ) of the satellite​

$\checkmark$ Solution:

We know that,

Angular Velocity ( ω )

$\red{\boxed{\boxed{\rm \omega=\dfrac{2 \pi}{t} \ rad/s }}}$

Here,

→ Unit of Angular Velocity ( ω ) is radians per second

→ ω = rad/s

→ t = Time taken

Given that,

The Artificial satellite takes 120 minutes for  one complete revolution around the earth

Hence,

t = 120 minutes

We need Time (t) in seconds

So, Multiply the time value (in minutes) by 60 to get time in seconds

Since, 1 Minute = 60 Seconds

Therefore,

$\green{\rm t = 120 \times 60 \ seconds}$

$\underline{\underline{\bold{\green{\rm t = 7200 \ seconds}}}}$

According to the Question,

We are asked to find the Angular velocity ( ω ) of the satellite​

So,

Substituting the above value in the Formula,

We get,

$\orange{\rm \implies \omega=\dfrac{2 \times \pi}{7200} \ rad/s}$

We know that,

$\blue{\longrightarrow \rm \pi=\dfrac{22}{7}=3.14 }$

Therefore,

$\pink{\rm \implies \omega=\dfrac{2 \times 3.14}{7200} \ rad/s}$

$\green{\rm \implies \omega=\dfrac{6.28}{7200} \ rad/s}$

$\purple{\rm \implies \omega=0.000872 \ \ rad/s}$

Hence,

Angular velocity

(ω)​ = 0.000872 rad/s