Question

$\huge{ \mathfrak{ \pink{question...}}}$


An artificial satellite is moving in a circular orbit of radius 42250km.calculate its speed if it takes 24 hours to revolve around the earth.
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Answer 1

Given:-

• Radius of a circular orbit in which an artificial satellite is moving is 42250km.
• Hours it takes to revolve around the earth is 24 hours.

Need to find:-

• Speed of the satellite if it takes 24 hours to revolve around the earth.

$\huge \mathtt { \bold{ \purple{SOLUTION:-}}}$

As we know that-

$\large{speed = \frac{distance}{time} }$

As the satellite is moving in a circular orbit

Therefore,the distance = Circumference of the orbit

We know that,

Circumference = 2πr

where, r= radius =0

π = 22/7

According to question

Radius = 42250

Putting the value of r in 2πr

We get circumference-

$\large \implies{ \frac{2 \times 22 \times 42250}{7}}$

$\large{ \implies{ 265571.42km}}$

Putting the value in S = D/T...

We get,

Speed,v =265571.42/24

Speed =11065.4km/h

Converting into km/s.

$\large \implies{ \frac{11065.4}{60 \times 60 } {kms}^{ - 1}}$

$\large \implies{3.07{kms}^{ - 1}}$

Therefore,

$\small\boxed{\mathtt{ \orange{speed \: of \: the \: satellite \: = 3.07{kms}^{ - 1}}}}$