How to Find Radial and Tangential Acceleration in Non-Uniform Circular Motion?

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Homework Help Overview

The problem involves a car traveling in a flat circle with a specified radius, instantaneous velocity, and total acceleration at a certain angle. The objective is to determine the radial and tangential components of acceleration, as well as the period of motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the correct use of angles in calculations, specifically whether to use 53 degrees or 37 degrees. There are attempts to calculate radial and tangential acceleration based on given values, and questions about the accuracy of these calculations.

Discussion Status

Some participants have provided calculations for radial and tangential acceleration, while others seek verification of their results and clarity on the angle to use. There is an ongoing exploration of the period calculation, with one participant questioning the validity of their computed period.

Contextual Notes

Participants note that the tangential acceleration is assumed to be constant, and there is a request for verification of calculations based on the provided information. The original poster also clarifies the problem statement to ensure all necessary details are included.

aali069
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Homework Statement


car travels in a flat circle of radius r. at certain point instantaeous velocity is 24 m/s west and the total acceleration is 2.5 m/s2 53 degrees north of west. find radial and tangential acceleration. and period

Homework Equations


ar= 2.5cos37
at=2.5sin37
r=24 x 24/ar
T= 2pie(r)/v

am i plugging in the numbers for ar and at correctly??
 
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i got ar to = 1.99 roughly 2 m/s2 and at = 1.5 m/s2
i just am not sure if i use 53 degrees as the angle or 37
using the numbers above i got 288 m for the radius and 74 s as the period..if someone can verify my work and let me know if I am on the right path that would be great..thanks for your help in advanced :)
 
btw here's the actual question if there isn't enough information

a car travels in a flat circle of radius R. at a certain instant the velocity is 24 m/s west, and the total acceleration of the car s 2.5 m/s2 53 degrees north of west. find the radial and tangential components of the acceleration of the car at that moment. if the cars tangential acceleration is constant how long will it take for to make one full cirlce from the point at which its velocity is 24 m/s
 
Use the 53° angle, since it's measured "north of west" and at the instant of interest the car is at the southernmost point of the track and traveling west.

attachment.php?attachmentid=39180&stc=1&d=1316715600.gif


Your period seems a bit high. How exactly did you go about calculating it? Can you show your calculation?
 

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