The Earth has two main angular velocities as it moves through space. One is due to...
The Earth has two main angular velocities as it moves through space. One is due to its motion around the sun, the other is due to its rotation around its own axis.
A. What is the angular speed of the Earth as it revolves around the sun? (answer in rad/s)
B. The radius of the Earth's orbit around the sun is about 1.5×108 km. Based on your answer to Part A, what is the tangential speed of the Earth as it revolves around the sun? (answer in m/s)
C. What is the angular speed of the Earth as it spins around its axis? (rad/s)
D. The radius of the Earth is about 6370 km. Based on your answer to Part D, what is the tangential speed of a point on the surface of the Earth? (m/s)
Homework Answers
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The Earth has two main angular velocities as it moves through
space. One is due to...
What is the angular kinetic energy of the Earth due to its orbit around the sun?...
What is the angular kinetic energy of the Earth due to its orbit around the sun? In Homework 10, you found the two main angular velocities of the Earth: one due to the Earth's motion around the sun, and one due to its rotation about its own axis. Now let's figure out the energy and momentum associated with that motion. IVO ALV O a ? For the purposes of this problem, treat the Earth as a solid, uniform sphere with...
The earth spins in the same sense as it orbits around the sun. Find: (a) the...
The earth spins in the same sense as it orbits around the sun. Find: (a) the earth's spin angular velocity about its internal axis; (b) its orbital angular velocity about the sun; (c) the linear speed of points closest to and farthest from the sun, measured relative to the sun. (Assume that the two axes of rotation are parallel.)
Today, the Moon’s orbit around Earth has a semi-major axis of a=384,400 km and an orbital...
Today, the Moon’s orbit around
Earth has a semi-major axis of a=384,400 km and an orbital period
of 27.32166 days.
a. The Moon slowly moves outward due to tidal braking of the
Earth’s rotation, and at some future date the Moon will have an
orbital period of 47 days. Compute the semi-major axis of the
Moon’s orbit at this future date (express your answer in
kilometers).
semi-major axis = 5.5*10^5 km
b. Today, the Moon has an angular diameter of...
4. The planet Earth orbits around the Sun and also spins around its own axis. (a)...
4. The planet Earth orbits around the Sun and also spins around its own axis. (a) Calculate the angular momentum of Earth in its orbit around the sun. (b) Calculate the angular momentum of Earth spinning on its axis. (c) What is the ratio of the angular momentum of Earth in its orbit to the angular momentum of Earth about its axis?
5*) Find the angular velocity of the Earth due to its daily rotation and express it...
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the...
We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the centripetal acceleration of a point on the surface of the Earth at the equator caused by the rotation of the Earth about its axis. (Enter the magnitude. The radius of the Earth is 6,371 km.) m/s2
003 10.0 points Earth orbits the sun once every 365.25 days. Find the average angular speed...
003 10.0 points Earth orbits the sun once every 365.25 days. Find the average angular speed of Earth about the sun. Answer in units of rad/s. 004 (part 1 of 2) 10.0 points A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk? 1. 1 m/s and 0 m/s2 (Disk...
Please answer both 2 and 5. 3-2 What is the angular speed, in SI units, of:...
Please answer both 2 and 5.
3-2 What is the angular speed, in SI units, of: 5 pts (a) The earth in its orbit about the sun every 365 days. rad/s ( + 2E-9 rad/s) (b) The moon in its orbit about the earth every 27.3 days. rad/s ( + 6E-8 rad/s) 3-5 A car is traveling at 96.0 km/hr The tires have a radius R = 38.4 cm. 5 pts (a) What is the angular speed of the tire...
Can someone help me with this question and show all work 1) Planet Velocities and Energy...
Can someone help me with this question and show all
work
1) Planet Velocities and Energy (33 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation: Here Vis the speed of the body in m/s, G is the gravitational constant,...
The earth spins on its axis once a day and orbits the sun once a year...
The earth spins on its axis once a day and orbits the sun once a year (365 1/4 days). Determine the average angular velocity (in rad/s) of the earth as it (a) spins on its axis and (b) orbits the sun. In each case, take the positive direction for the angular displacement to be the direction of the earth's motion.
What is the angular kinetic energy of the Earth due to its orbit around the sun? In Homework 10, you found the two main angular velocities of the Earth: one due to the Earth's motion around the sun, and one due to its rotation about its own axis. Now let's figure out the energy and momentum associated with that motion. IVO ALV O a ? For the purposes of this problem, treat the Earth as a solid, uniform sphere with...
Today, the Moon’s orbit around
Earth has a semi-major axis of a=384,400 km and an orbital period
of 27.32166 days.
a. The Moon slowly moves outward due to tidal braking of the
Earth’s rotation, and at some future date the Moon will have an
orbital period of 47 days. Compute the semi-major axis of the
Moon’s orbit at this future date (express your answer in
kilometers).
semi-major axis = 5.5*10^5 km
b. Today, the Moon has an angular diameter of...
4. The planet Earth orbits around the Sun and also spins around its own axis. (a) Calculate the angular momentum of Earth in its orbit around the sun. (b) Calculate the angular momentum of Earth spinning on its axis. (c) What is the ratio of the angular momentum of Earth in its orbit to the angular momentum of Earth about its axis?
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
003 10.0 points Earth orbits the sun once every 365.25 days. Find the average angular speed of Earth about the sun. Answer in units of rad/s. 004 (part 1 of 2) 10.0 points A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk? 1. 1 m/s and 0 m/s2 (Disk...
Please answer both 2 and 5.
3-2 What is the angular speed, in SI units, of: 5 pts (a) The earth in its orbit about the sun every 365 days. rad/s ( + 2E-9 rad/s) (b) The moon in its orbit about the earth every 27.3 days. rad/s ( + 6E-8 rad/s) 3-5 A car is traveling at 96.0 km/hr The tires have a radius R = 38.4 cm. 5 pts (a) What is the angular speed of the tire...
Can someone help me with this question and show all
work
1) Planet Velocities and Energy (33 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation: Here Vis the speed of the body in m/s, G is the gravitational constant,...
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