2. Determine the angular momentum of the Earth (a) about its rotation axis (assume that the Earth is a uniform sphere), and (b) in its orbit around the Sun (treat the Earth as a particle orbiting the Sun and assume the Earth's orbit is circular). The Earth has mass = 6.0 x 1024 kg and radius = 6.4 x 106m and is 1.5 x 108 km from the Sun.

2. Determine the angular momentum of the Earth (a) about its rotation axis (assume that the Earth is a uniform sphere), and (b) in its orbit around the Sun (treat the Earth as a particle orbiting the Sun and assume the Earth's orbit is circular). The Earth has mass = 6.0 x 1024 kg and radius = 6.4 x 106m and is 1.5 x 108 km from the Sun.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 4. Walk around a Lake - Two people start at the same place and walk around a circular lake in…

A: We can use relative speed concept.i.e assuming one at rest and other covering whole circle with…

Q: A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an…

A: Given that,Diameter, d= 210 mAcceleration, a=9.80ms2we know that angular acceleration, α=ω2rwhere ω…

Q: 2.) A satellite is launched into a circular orbit 40 x 105 m above the surface of the Earth. a. Draw…

Q: A child stands on a spinning carousel. Another child runs on and jumps on the rim. (a) Choose the…

Q: A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an…

Q: A system is composed of a star and a planet. The planet is orbiting the star elliptically, but not…

A: A system is composed of a star and a planet The planet orbits the star in elliptical path and not in…

Q: According to the law of conservation of momentum... a total angular momentum is unchanged, it…

A: According to the Law of conservation of momentum, total angular momentum remain unchanged. So, if…

Q: A car travels east with a speed of 12[m/s]. Its wheels have radius R. The driver applies the brakes.…

Q: centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain…

A: Relation between centripetal acceleration, angular velocity and radius is given as: ac=ω2R Here ac…

Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 51 rev/min. r =…

A: The angular frequency, ω = 51rev/min = 5.34rad/s. The time period of rotation of the wheel is

Q: A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an…

A: Using the equation for centripetal acceleration, ac=rω2ω=acr

Q: 4)Assuming that the Earth is a solid sphere of uniform density, with mass M_Earth = 5.97219 x 10^24…

Q: AV-2 a) What is the angular velocity earth of the earth around the sun in revolutions per year and…

Q: 8) Now we have a rod-shaped space station of length 577 m and mass 9.02 x 10^6 kg, which can change…

A: This is a question about the conservation of angular momentum. The angular momentum of a rotating…

Q: A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an…

A: Given, Diameter, d=170 m Acceleration along center or Centripetal acceleration, ac=9.8 m/s2

Q: Determine the angular momentum H, of the 5-kg particle about point O. 3 kg oA \6m/s 2 m _ 2 m 1.5 m…

A: Given data : Mass of particle , m = 5 Kg Velocity = 6m/s To find : Angular momentum about point O

Q: 28. An elliptical orbit can be analyzed using conservation of angular momentum and mechanical…

Q: A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an…

Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of Earth. (a) As a…

A: According to the question, the projectile shot directly away from the earth's surface. a) The…

Q: 1. The graph below shows the angular velocity of a satellite as it fires its side rockets. The…

A: a The angular acceleration as a function of time graph is option C. b The angular displacement as a…

Q: The tires of a car make 77 revolutions as the car reduces its speed uniformly from 95.0 km/h to 65.0…

Q: The two objects in the figure are separated by 4 m, each have a mass of 5 kg, and are connected by a…

Q: 6) A car is moving initially at 35 m/s and speeds up so that the 40-cm-diameter wheels have an…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

2. Determine the angular momentum of the Earth (a) about its rotation axis (assume that the Earth is a
uniform sphere), and (b) in its orbit around the Sun (treat the Earth as a particle orbiting the Sun and
assume the Earth's orbit is circular). The Earth has mass = 6.0 x 10²4 kg and radius = 6.4 x 106m and
is 1.5 x 108 km from the Sun.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

VIEW

Step 2: Calculating angular momentum:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M m R С. Now return to the 'slowly' rotating planet (where the loose rocks are not flying off the surface) and consider a loose rock that is not on the equator, but at some higher latitude, 0 (as shown). Do you need forces besides gravity and the normal force to make this situation possible? Justify your answer (you just need to justify whether you need another force but not what that other force might be if it is needed).
A planet has a small moon orbiting around it in a circular orbit. The moon has a constant tangential velocity. Assume: • The moon and the planet are 5 x 10° m away from each other. • The mass of the planet is 4 X 102 kg Determine: The tangential velocity of the moon relative to the planet.
A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 150 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim? rpm
A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 220 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim? Give your answer in rad/s.
7) you and your company are designing a merry-go-round for the company's summer picnic so that all the kids can have fun too. You want to be sure the kids move at a speed of 4 m/s so that they have fun and feel the wind as they ride. However, you do not want it moving faster than 12 rpm so that the kids don't get motion sick. What minimum diameter platform will you need for this merry-go-round? a) 0.65 m b) 6.37 m c) 1.44 m d) 12.5 m e) 3.18 m
B. A compact disk rotates from rest to 420 rev/min in 4.5 seconds. (a) How far does a point on the edge of the disk, radius 8.0 cm, travel during this interval? (b) If the disk has mass of 18.2 grams, what is its kinetic energy when rotating at 400 rev/min? (I = MR2) (c) What average power is needed to accelerate the disk to 420rev/min in 4.5 seconds?
4.) A DVD drive rotates a DVD at 1000 revolutions per minute (rpm). a) What is the angular velocity in revolutions per second? b) What is the angular velocity in radians per second? c) If the radius of the DVD is 0.05 m, at what linear speed (m/s) is a point at the edge of the DVD moving?
Gravity is an example of a central force that acts along the line connecting two spherical masses. HINT (a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet? Gm. O T= planet'sun 2Gm OT= planet"sun Or= 0 Gm planet" sun OT= 2r Gm planet"sun O T= (b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum? Gm AL = planet m sun At Gm AL = planet'sun At AL = 0 Gm planet"sun AL = 2rAt O AL = Gm planet'sun rAt
20. Go Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.150 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.80 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk.
Mars is about twice as far from the sun as Venus. A Martian year, which is the time it takes Mars to go around the sun, is about 3 times as long as a Venusian year. a) Draw a sketch of the scenario, including the given information. b) Use your sketch to determine which of these two planets has the greater rotational speed in its orbit? and b) Which planet has the greater linear speed?
6. Find the angular momentum of Earth around the Sun. Also find the angular momentum of a rod about an axis passing through its edge. The length of the rod is 4 m and its mass is 500 g.
2. A mass is moving on xy plane as shown in the Figure. Find the angular momentum of the mass about the origin. y (0, 70) (- 50, 0) (0,0) v = 100 m/s m = 2 kg