# Calculating Centripetal Acceleration of Space Telescope in Orbit

• mohabitar
In summary, the conversation discusses the calculation of the acceleration of a space telescope in orbit around the Earth. The formula for centripetal acceleration is used, but the incorrect answer is obtained due to a mistake in converting units. The correct answer is 4.0 m/s^2.
mohabitar
I've done a bunch of these before, but don't know why I'm not getting the right answer this time around:

A space telescope of mass m[t]=10,000 kg is in a stable circular orbit above the Earth at an altitude h=3630 km. The radius and mass of the Earth are R[e]=6370 and M[e]=6x10^24 kg. Newtons gravitational constant is 6.672x10^-11.

What is the acceleration of the space telescope as it orbits the earth?

_____________

So this is simple enough-we're looking for the centripetal acceleration. So m[t]*Ac=GM[e]m[t]/R^2[earth center to satellite]. The m[t]'s cancel out, so we have centripetal acceleration =GM[e]/R^2, and I'm getting a really large number, even though the answer is supposed to be 4.0 m/s^2. What do you see I'm doing wrong?

R[e] is in km, did you convert it meters?

## 1. What is simple gravitational question?

Simple gravitational question refers to the basic concept of gravity, which is the force of attraction between two objects with mass. It is often used in introductory physics courses to understand the fundamental principles of gravity.

## 2. How is gravity calculated?

Gravity is calculated using the universal law of gravitation, which states that the force of gravity is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between them.

## 3. What is the difference between mass and weight?

Mass is the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Mass is constant, while weight can vary depending on the gravitational pull of the object's location.

## 4. How does gravity affect objects?

Gravity affects objects by pulling them towards the center of the Earth. This is what keeps objects on the surface of the Earth and causes objects to fall towards the ground when dropped.

## 5. What are some real-life applications of simple gravitational question?

Understanding simple gravitational question is essential in many fields, including space exploration, engineering, and mechanics. It also helps explain phenomena such as tides, planetary motion, and the formation of celestial bodies. Additionally, it is used in everyday situations, such as calculating the trajectory of a thrown object or the weight of an object on different planets.

Replies
13
Views
390
Replies
3
Views
2K
Replies
12
Views
919
Replies
7
Views
2K
Replies
23
Views
2K
Replies
3
Views
2K
Replies
5
Views
3K
Replies
5
Views
2K
Replies
3
Views
1K
Replies
6
Views
2K