Radial Acceleration of Point on Planet: Calculate Using v^2/r

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Homework Help Overview

The discussion revolves around calculating the radial acceleration of a point on a planet's surface, specifically at the equator, using the formula v^2/r. The problem involves understanding the relationship between the planet's radius, rotation period, and the resulting acceleration.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore how to derive the velocity (v) of a point on the equator based on the planet's rotation period. Questions arise regarding the distance traveled in relation to the circumference of the planet and its radius.

Discussion Status

Some participants have provided guidance on calculating the velocity by relating it to the circumference and the rotation period. There is an indication of progress as one participant expresses understanding after considering the formula for velocity.

Contextual Notes

Participants are navigating the problem with limited information on how to connect the radius to the distance traveled in one complete rotation. The discussion reflects an ongoing exploration of the concepts involved without reaching a definitive conclusion.

portillj72
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Consider a planet of radius 5.53X10^6 m with a rotation period of 24.3 hours. Compute the radial acceleration of a point on the surface of the planet at the equator due to its rotation about its axis.

What is the Radial Acceleration.

I found out that the formula for radial acceleration is v^2/r but I don't know how to make the problem fit into it!
 
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How do you find v? How far does a point on the equator travel in 24.3 hours? v=distance/time.
 
i don't get the distance. the only distance i get is the radius.
 
A point on the equator rotates around the planet once in 24.3 hours. What's the circumference of the planet? It is related to r.
 
ooo so then v = 2pi(r)/t
and then I can plug it in the original formula for the radial acceleration right?
 
thank you so much I got it!
 

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