Magnitude of centripedal acceleration

AI Thread Summary
The discussion revolves around calculating centripetal acceleration, angular speed, tangential acceleration, and total acceleration for a car moving counterclockwise on a track with a radius of 660m, accelerating from 40m/s to 84m/s and reaching 68m/s. Participants note that while centripetal acceleration and angular speed can be determined with the given information, tangential and total acceleration require additional data, specifically time. One user calculated the centripetal acceleration as 7.006 m/s² and angular speed as 0.103 rad/s, but concerns were raised about the precision of these figures. The lack of time data is a significant barrier to solving for tangential and total acceleration, leading to suggestions to seek clarification from the teacher. The discussion highlights the importance of complete problem statements in physics.
dr2112
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Homework Statement



car speed from 40m/s to 84m/s
traveling counterclockwise around a track 6.6x10^2m
when it reaches 68m/s find:
magnitude of centripedal acceleration
angular speed
tangential acceleration
magnitude of total acceleration

Homework Equations


ac=v^2/r
w=v/r
at= (v-vo)/delta t
a=square root of (ac^2+at^2)


The Attempt at a Solution



I have no idea where to start its been a while since I did physics problems.
 
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Your equations are good, but some info is missing in the problem statement. Is the time given? Is 660m the radius of the track?
 


PhanthomJay said:
Your equations are good, but some info is missing in the problem statement. Is the time given? Is 660m the radius of the track?

Yes, 660m is the radius of the track.

No time is given all it states is that accelerates from 40 m/s to 84 m/s and to find all that info once the car reaches 68m/s

Thanks
 


Witht the info you have given you can only determine the angular speed and the centripetal acceleration.

The tangential acceleration and the total acceleration need more info...
 


borgwal said:
Witht the info you have given you can only determine the angular speed and the centripetal acceleration.

The tangential acceleration and the total acceleration need more info...

So here is what I came up with for magnitude and angular speed:

7.006m/s2

0.103rad/s
 


dr2112 said:
So here is what I came up with for magnitude and angular speed:

7.006m/s2

0.103rad/s

Numerically fine, but too many digits.
 


borgwal said:
Numerically fine, but too many digits.

Thanks.

Now if I could only figure out how you would get the tangential and total acceleration. There is no other information provided in the problem.:confused:
 


Where did you get this problem? If your teacher made it up you can ask for more info!
Or is it part of a larger question, and some info was given for previous parts?
 


borgwal said:
Where did you get this problem? If your teacher made it up you can ask for more info!
Or is it part of a larger question, and some info was given for previous parts?

My teacher gave us this problem, but there is no other info given besides what I hvae. I have already emailed him and still have not got a response.:frown:
 
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