Comparing Earth's Orbital & Rotational Periods

In summary, the conversation includes questions about the ratio of the Earth's orbital period to its period of rotation, the use of Newton's law of gravitation to find the gravitational force between two masses, and the calculation of weight using the formula W=mg. Additional clarification is needed for the given values and equations in the problems.
  • #1
JohnJay
6
0

Homework Statement



What is the ratio of the Earth's orbital period about the sun to the Earth's period of rotation about its own axis

Homework Equations



none, theory


The Attempt at a Solution



Its theory

Two 335 kg masses (744 lb) are separated by a distance of 5 m. Using Newton's law of gravitation, find the magnitude of the gravitational force exerted by one mass on the other.

F = Gm1m2
______
r (squared)

God... I'm putting it in, but it says its wrong... help...



Joe has a weight of 750 N (about 170 lb) when he is standing on the surface of the earth. What would his weight (the gravitational force due to the earth) be if he tripled his distance from the center of the Earth by flying in a spacecraft ?

The formula should be...

w x a = f

help please!


Thank you members of the community
 
Last edited:
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  • #2
The first question should be fairly easy. I assume you've been given the information about both periods of rotation.

For the two masses what answer are you getting? That might help in diagnosing what's going wrong.

Weight is defined as W=mg, where:

[tex] g= G\frac{M_E}{r^2} [/tex]

What will his weight be if r is tripled?
 
  • #3
What is the ratio of the Earth's orbital period about the sun to the Earth's period of rotation about its own axis
What is the definition of a year timewise? What is significant about the length of a day?

For the second problem, please show the values used, e.g. gravitational constant, G, in the formula.
 
  • #4
Umm it doesn't say...

and grav. should be 9.81
 
  • #5
JohnJay said:
Umm it doesn't say...

and grav. should be 9.81

What do you think are the periods for the period of rotation of the Earth and the period of the Earth round the sun. Its fairly obvious.

No, g = 9.81 ms-2 and G = 6.67x10-11 m3kg-1 s-2
 

Related to Comparing Earth's Orbital & Rotational Periods

1. How long is Earth's orbital period?

Earth's orbital period is approximately 365.24 Earth days, or one year. This is the amount of time it takes for Earth to complete one orbit around the sun.

2. What is the difference between Earth's orbital and rotational periods?

Earth's orbital period refers to the time it takes for Earth to orbit around the sun, while its rotational period is the time it takes for Earth to complete one full rotation on its axis. The orbital period is longer than the rotational period because Earth's orbit is larger than its diameter.

3. How long is Earth's rotational period?

Earth's rotational period is approximately 23 hours, 56 minutes, and 4 seconds. This is the amount of time it takes for Earth to complete one full rotation on its axis, which is equal to one day.

4. How does Earth's rotational period affect our daily lives?

Earth's rotational period determines the length of our day and night. It also affects our perception of time, as we use the rotation of the Earth to measure a day. The tilt of Earth's axis also causes the changing of seasons, which has a significant impact on our daily activities and lifestyles.

5. How do scientists measure Earth's orbital and rotational periods?

Scientists use various astronomical techniques, such as observing the motion of celestial bodies, to accurately measure Earth's orbital and rotational periods. They also use advanced technologies, such as satellites and telescopes, to gather data and make precise calculations.

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