Question
Question asked by Filo student
An artificial satellite of the earth is launched in circular orbit in the equatorial plane of the earth and the satellite is moving from west to east. With respect to a person on the equator, the satellite is completing one round trip in . Mass of the earth is For this situation the orbital radius of the satellite is a. b. c. d.
Found 4 tutors discussing this question
Discuss this question LIVE
10 mins ago
Text solutionVerified
Sure, here are the step by step solutions:
Given, time period of the satellite w.r.t an observer on the equator is and the satellite is moving from west of east.
Angular velocity of the satellite w.r.t earth's axis of rotation (consider as fixed) is given by:
where and are time periods of satellite and earth, respectively. Substituting the given values, we get:
Using the formula for the speed of a satellite in circular orbit:
where is the gravitational constant, is the mass of the earth, and is the radius of the orbit.
We can equate the angular velocity of the satellite to the angular velocity of a point on the equator, which is equal to the angular velocity of the earth's rotation, and solve for :
Therefore, the radius of the orbit of the satellite is .
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice more questions on Gravitation
Question 1
Hard
Views: 5,973
Question 3
Medium
Views: 6,238
Question 4
Easy
Views: 6,025
Students who ask this question also asked
Question 1
Views: 5,412
Reason : Gravitational constant and acceleration due to gravity have different dimensional formulae . a. Both Assertion and Reason are true and Reason is the correct explanation of Assertion b. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion c. Assertion is true and Reason is false d. Assertion is false and Reason is true
Question 2
Views: 5,921
Question 3
Views: 5,576
Question 4
Views: 5,082
Stuck on the question or explanation?
Connect with our Physics tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | An artificial satellite of the earth is launched in circular orbit in the equatorial plane of the earth and the satellite is moving from west to east. With respect to a person on the equator, the satellite is completing one round trip in . Mass of the earth is For this situation the orbital radius of the satellite is a.
b.
c.
d. |
Topic | Gravitation |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |