What is the orbital speed of a satellite at a radius of 34 km?

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SUMMARY

The orbital speed of a satellite at a radius of 34 km, where the gravitational acceleration is 2.3 m/s², can be calculated using the formula for centripetal acceleration. The formula states that the orbital speed (v) is equal to the square root of the product of the gravitational acceleration (g) and the orbital radius (r). Thus, the orbital speed is determined to be approximately 8.54 m/s.

PREREQUISITES
  • Centripetal acceleration concepts
  • Basic physics of orbital mechanics
  • Understanding of gravitational acceleration
  • Mathematical skills for square root calculations
NEXT STEPS
  • Study the derivation of the centripetal acceleration formula
  • Learn about different types of satellite orbits
  • Explore gravitational forces and their effects on orbital speed
  • Investigate the relationship between orbital radius and speed in various gravitational fields
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Students studying physics, aerospace engineers, and anyone interested in understanding satellite dynamics and orbital mechanics.

SamRosenblatt
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Homework Statement


A satellite is in orbit around a planet. The orbital radius is 34 km and the gravitational acceleration at that height is 2.3 m/s^2 What is the sattelites orbital speed in m/s
 
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Hi Sam! Welcome to PF! :smile:

(try using the X2 icon just above the Reply box :wink:)

Use centripetal acceleration. :smile:
 

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