Question

5. An artificial satellite takes 24hours to complete one circular
orbit of length 172800km. Calculate the speed and velocity
after 1 revolution.​

Answer 1

$\\{\underline{\underline{\mathcal{..... Answer.....}}}}$

$\large\bold{\mathcal{Given:}}$

D = 172800 km

T = 24 hours

SPEED = $\large\bold{\frac{D}{T}}$

= $\large\bold{\frac{</strong><strong>172800</strong><strong>}{</strong><strong>24</strong><strong>}}$

$\large\</strong><strong>bold</strong><strong>{</strong><strong>\</strong><strong>boxed</strong><strong>{</strong><strong>\</strong><strong>boxed</strong><strong>{</strong><strong>Speed</strong><strong>\</strong><strong>:</strong><strong>=\</strong><strong>:</strong><strong>7200Km</strong><strong>/</strong><strong>hr</strong><strong>}</strong><strong>}</strong><strong>}</strong><strong> </strong><strong>$

Displacement = Final position - initial position

Since it traveled in a circular path and it stopped at the initial position

Displacement = 0

Velocity = $\large\bold{\frac{</strong><strong>Displacement</strong><strong>}{T}}$

= $\large\bold{\frac{</strong><strong>0</strong><strong>}{</strong><strong>24</strong><strong>}}$

$\large\bold{\boxed{\boxed{Velocity \:=\:0Km/hr}}}$

Answer 2

Answer:

The speed and velocity after 1 revolution is ​7200 km/hr and v = 2292.99 km/hr

Step-by-step explanation:

Given that,

• Time taken = 24 hour
• length of orbit = 172800 km

Firstly, We have to calculate the radius of the circular orbit-

then, radius 'r' = $\dfrac{circumference}{2(\pi)}$

where,

circumference is equal to the length of the orbit

π = 3.14  

         r = $\dfrac{172800}{2 \times 3.14}$

         r = $\dfrac{172800}{6.28}$

         r = 27515.92 km

Therefore, diameter = 2r

                = 2×27515.92

                = 55031.84 km

And the diameter of orbit is equal to displacement

therefore, displacement = 55031.84 km

Now,

Calculate the speed of of satellite 's' = $\dfrac{Distance}{Time}$

                      s = $\dfrac{172800}{24}$

                      s = 7200 km/hr

Calculate the velocity of satellite 'v' = $\dfrac{Displacement}{Time}$

                        v = $\dfrac{55031.84}{24}$

                        v = 2292.99 km/hr