Uniform Circular Motion of a satellite

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SUMMARY

The discussion focuses on solving problems related to uniform circular motion, specifically for a satellite orbiting Earth and a stone whirled in a circle. For the satellite, the correct radius must include Earth's radius, and the period of 98.0 minutes must be converted to seconds for accurate calculations. The centripetal acceleration and speed can be derived from these values. In the second problem, the stone's speed can be determined using principles of projectile motion after calculating the time it takes to fall to the ground.

PREREQUISITES
  • Understanding of circular motion concepts
  • Knowledge of centripetal acceleration formulas
  • Ability to convert units (minutes to seconds, kilometers to meters)
  • Familiarity with projectile motion principles
NEXT STEPS
  • Learn how to calculate centripetal acceleration using the formula a = v²/r
  • Study the conversion of time units for physics calculations
  • Explore the relationship between period, radius, and speed in circular motion
  • Investigate projectile motion equations to determine time of flight and horizontal distance
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of problem-solving in uniform circular motion scenarios.

DramatikaRocks
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Problem:
I have these exercises that I need help with. They look easy and I have an idea on what to do, but the answer I get is not right. I know I'm doing something wrong and I need any help I can get.

Homework Statement



1.) An Earth satellite moves in a circular orbit 640 Km above Earth's surface witha period of 98.0 min. What are the a.) Speed and b.) the magnitude of centripetal aceleration of the satellite?

Homework Equations


I want to know what is the radius that I use and if I have to change 98 min for seconds?
If I have the speed I can calculate the aceleration.

The Attempt at a Solution


The problem is I'm assuming that the radius is 640km and I divide that with 98.0 min but that is not the right answer.
 
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the other exercise is :

1.) A boy whorles a stone in an horizontal circle of radius 1.5m and at a height of 2.0m above level ground. The string breaks,the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10m. What is the magnitude off the
centripetal aceleration of the stone while in circular motion?

2.) The question is that I need the speed and I have no Idea how to get it. And I don't know how to solve this really.
 
DramatikaRocks said:

Homework Equations


I want to know what is the radius that I use and if I have to change 98 min for seconds?
If I have the speed I can calculate the aceleration.

The Attempt at a Solution


The problem is I'm assuming that the radius is 640km and I divide that with 98.0 min but that is not the right answer.
You need the radius of the satellite's circular orbit. 640 km is just the distance above the earth--be sure to include the radius of the earth. Convert distance to meters and time to seconds. Realize that the satellite travels a complete circumference in every period.

DramatikaRocks said:
the other exercise is :

1.) A boy whorles a stone in an horizontal circle of radius 1.5m and at a height of 2.0m above level ground. The string breaks,the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10m. What is the magnitude off the
centripetal aceleration of the stone while in circular motion?

2.) The question is that I need the speed and I have no Idea how to get it. And I don't know how to solve this really.
You'll need to use your knowledge of projectile motion. How long does it take for the stone to fall? Use that to figure out what its speed must have been.
 

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