The mass of the Earth is 5.98 x 1024 kg.The radius of the Earth is 6.37 x 106 m.(a) What is Earth's angular velocity in its daily rotation? rad/sec
Question
The mass of the Earth is 5.98 x 1024 kg.The radius of the Earth is 6.37 x 106 m.(a) What is Earth's angular velocity in its daily rotation? rad/sec
Solution
The Earth completes one rotation every 24 hours. To find the angular velocity, we need to convert this time period into seconds because the standard unit of angular velocity is radians per second.
1 day = 24 hours = 1440 minutes = 86400 seconds
The formula for angular velocity (ω) is:
ω = 2π / T
where:
- 2π is the angle of one complete rotation in radians
- T is the period of rotation in seconds
Substituting the values into the formula, we get:
ω = 2π / 86400 = 7.27 x 10^-5 rad/sec
So, the Earth's angular velocity in its daily rotation is approximately 7.27 x 10^-5 rad/sec.
Similar Questions
The mass of the Earth is 5.98 x 1024 kg.The radius of the Earth is 6.37 x 106 m.(a) What is Earth's angular velocity in its daily rotation? rad/sec(b) What is Earth's moment of inertia? kg.m2(c) What is Earth's rotational kinetic energy? JoulesFor the next 2 parts, assume you can approximate yourself as a point particle.(d) If your mass is 40 kg and you are standing on the equator, what is your personal rotational energy about the earth's north-south axis? Joules(e) If you were instead to stand on the North Pole, what would your personal rotational energy about the earth's north-south axis then be? (roughly speaking) Joules
Find the angular speed of the earth in revolution per second and radians per second.
Calculate approximately the average angular velocity of the earth about its axis of rotation.
Calculate the centripetal acceleration of an object at the equator due to rotationof earth. The radius of earth is .
A satellite orbits the earth a distance of 16,405,682 m above the planet's surface and takes 5.05 hours for each revolution about the earth. The earth's radius is 6,380,000 m. What is the acceleration of this satellite?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.