Question

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its

speed if it takes 24 hours to revolve around the earth.​

Answer 1

Given :

• Radius of the artificial satellite = 42250 km

• Time taken = 24 hours

To Find :

• The speed of the satellite to revolve around the earth.

Solution :

The speed of an object moving in a circular path is given by the formula :

$\star \: \sf \: v = \dfrac{2 \: \pi \: r}{t}$

We've to find the value of v, the value of r is given and we know the value of pi, π is $\sf\frac{22}{7}$

Putting the values in the above formula, we get :

$\sf \longrightarrow \: v = \dfrac{2 \times 22 \times 42250 \: }{7 \times 24}$

$\sf \longrightarrow \: v = \cancel \dfrac{1859000 }{168}$

$\sf \longrightarrow \: v =11065.4 \: km \: {h}^{ - 1}$

We can convert this speed into m/s from km/hr by dividing it by the number of seconds in 1 hour i.e. (60×60 s)

$\sf \longrightarrow \: v = \dfrac{11065.4}{60 \times 60} \: km \: {s}^{ - 1}$

$\sf \longrightarrow \: v = \cancel \dfrac{11065.4}{3600} \: km \: {s}^{ - 1}$

$\sf \longrightarrow \: v = 3.07 \: km \: {s}^{ - 1}$

$\therefore$ The speed of the satellite to revolve around the earth is 3.07 km/s.

Answer 2

Answer:

✬Question:-

An artificial satellite is moving in a circular orbit of radius 42240 km. Calculate its speed if it takes 24 hours to revolve around the earth.

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✵Answer:-

Distance covered by the satellite in 24 hoursS = 2πr

= 2 × 3.14 × 42240

= 265267.2

✿ Therefore speed of satellite,

$v \: = \frac{distance \: travelled}{time \: taken \: }$

$= \frac{265267.2}{ 24 \times 60 \times 60}$

$= 3.07kms ^{ - 1}$

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