Calculate Plane Speed from Diameter & Angle

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Homework Help Overview

The discussion revolves around calculating the speed of a plane traveling in a circular path with a specified diameter and banking angle. The problem involves concepts from circular motion and acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the banking angle and sideward acceleration, questioning how these factors influence the speed calculation. There are attempts to apply various equations related to circular motion and acceleration.

Discussion Status

The discussion includes various approaches to the problem, with some participants suggesting specific equations and others questioning the validity of those approaches. There is no explicit consensus on the correctness of the calculations presented.

Contextual Notes

Participants note the challenge of integrating the given diameter, angle, and acceleration into a coherent solution, with some expressing uncertainty about the relevance of each parameter.

courtney1121
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A plane is traveling in a circular path 32 km in diameter. It is banking at an angle of 12o, which indicates that its sideward acceleration is 2.1m/s2. What is its speed?


So I can use v=at, but I don't know time. What am I suppose to do with the 32km and the angle of 12?
 
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ok so how does the banking angle indicate the sideward acceleration?
 
is it possible to use the equation v^2 = a * radius * tan angle?
 
From using that equation I got speed to be 84.5m/s...does that sound right?
 

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