Calculating Time for a 90 Degree Turn in Circular Motion

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Homework Help Overview

The discussion revolves around calculating the time it takes for a pilot to complete a 90-degree turn in circular motion, given a specific radius and speed. The subject area includes concepts from circular motion and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between distance, speed, and time in the context of circular motion. Questions arise regarding the necessity of certain equations and the derivation of a formula for time based on the turn's geometry.

Discussion Status

Several participants have provided insights into the problem, with some suggesting alternative approaches to calculate the time required for the turn. There is an ongoing exploration of different formulas and their derivations, but no explicit consensus has been reached.

Contextual Notes

Participants are working within the constraints of the problem as stated, with some questioning the assumptions behind the equations used and the definitions of terms like tangential acceleration.

billu77
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Homework Statement



A pilot makes a turn of radius 50.0 meters at a speed of 26.0m/sec. How long will it take him to make a 90 degree turn?

Homework Equations



tangential acceleration = final velocity - initial velocity/time

The Attempt at a Solution



tangential acceleration = final velocity - 26/t
stuck at this point...unable to find final velocity from here?
 
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You actually don't need that equation. How much distance does he have to cover to turn 90 degrees? How fast is he turning? (Hint: it's 26.0 m/s.) How much time does it take?
 
Since speed is constant, time = 1/4* 2πR/v.
 
rl.bhat said:
Since speed is constant, time = 1/4* 2πR/v.

thanks...could u please explain how u got to that formula.
the one I have in book is:

T= 2\pir/v

thanks
 
That T= 2LaTeX Code: \\pi r/v is the time it needs to cover a full circle (360*)
So what's the time to cover 1/4 360*?

Thats time=T/4 = 1/4* 2πR/v.
 

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