
What is the angular velocity of the earth?
(A)
(B)
(C)
(D)
Answer
148.5k+ views
Hint: Angular velocity of the earth is the velocity of the earth which it takes to complete one revolution around the sun. Generally angular velocity is given as the ratio of and the time period taken by the particle to complete one revolution. Using this find the angular velocity of the earth.
Formula used:
Complete step by step solution:
Angular speed of a body is defined as the rate of change of angular displacement per unit time . It is a vector quantity which expresses both direction and magnitude. Now for one revolution, the total angle covered by the body is .
Earth is the 3rd planet in the solar system that rotates around the sun. The time taken by earth to spin around its orbit is 365 days. So, earth displaces itself at an angle, in 24 hours or a day. As days progress, earth spins around its orbit and on the 365th day, it comes closer to the sun.
Now, we need to calculate the time period earth takes to complete one full rotation around it’s geographical axes. According to Hipparchus, earth completes one full rotation in 24 equinoctial hours, which is purely based on sunlight and darkness calculation. Based on this , we can find the angular velocity, which is given as
Now, is 24 hours. We can write this in seconds as ,
On further simplifying, we obtain
Thus the earth moves in an angular velocity of per day.
Hence option (a) is the right answer.
Note: Initially the clocking system was based upon the sunrise and sunset period. Sundials were used in the olden day civilizations to identify time that uses the sun's shadow marked against a large dial. Angular velocity of earth in a year can be calculated as earth’s angular velocity in a day multiplied by 365 days.
Formula used:
Complete step by step solution:
Angular speed of a body is defined as the rate of change of angular displacement per unit time . It is a vector quantity which expresses both direction and magnitude. Now for one revolution, the total angle covered by the body is
Earth is the 3rd planet in the solar system that rotates around the sun. The time taken by earth to spin around its orbit is 365 days. So, earth displaces itself at an angle, in 24 hours or a day. As days progress, earth spins around its orbit and on the 365th day, it comes closer to the sun.
Now, we need to calculate the time period earth takes to complete one full rotation around it’s geographical axes. According to Hipparchus, earth completes one full rotation in 24 equinoctial hours, which is purely based on sunlight and darkness calculation. Based on this , we can find the angular velocity, which is given as
Now,
On further simplifying, we obtain
Thus the earth moves in an angular velocity of
Hence option (a) is the right answer.
Note: Initially the clocking system was based upon the sunrise and sunset period. Sundials were used in the olden day civilizations to identify time that uses the sun's shadow marked against a large dial. Angular velocity of earth in a year can be calculated as earth’s angular velocity in a day multiplied by 365 days.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
EMI starts from ₹3,487.34 per month
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Chemical Properties of Hydrogen - Important Concepts for JEE Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Uniform Acceleration

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Degree of Dissociation and Its Formula With Solved Example for JEE

Electrical Field of Charged Spherical Shell - JEE

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

Units and Measurements Class 11 Notes: CBSE Physics Chapter 1

Motion in a Straight Line Class 11 Notes: CBSE Physics Chapter 2

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

NCERT Solutions for Class 11 Physics Chapter 1 Units and Measurements

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry
