Solved

# Angular Acceleration

Posted on 2006-04-16
Medium Priority
366 Views
A) Prove that when an object starts from rest and rotates about a fixed axis wit a constant angular acceleration, the radial acceleration of a point in the object is directly proportional to its angular displacment.

This is how I did this part:

a_rad = w^2*r, where w = omega.
w^2 = w_0^2 + 2a(theta - theta0)

Where a = alpha, r = radius... This part seems correct

B) Through what angle has the object turned at the instant when the resultant accleration of a point makes an angle of 36.9 degrees with the radial acceleration.

I'm not sure how to do this part...
0
Question by:BrianGEFF719
• 3
• 2

LVL 85

Expert Comment

ID: 16466329
Resultant acceleration = tangential accelleration + radial accelleration
a_tan = r*a
0

LVL 19

Author Comment

ID: 16466353
How did you determine that the tangential accleration was the y component and the radial was the x component? I thoguht the same thing arctan(y/x), but I didnt know which was which

Brian
0

LVL 85

Accepted Solution

ozo earned 2000 total points
ID: 16466382
if tangential accelleration = 0,  the resultant accleration of a point makes an angle of 0 degrees with the radial acceleration.
0

LVL 19

Author Comment

ID: 16466604
So:

Theta = 1/(2 * tan(36.9))

is this correct?
0

LVL 19

Author Comment

ID: 16466607

0

## Featured Post

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

We are taking giant steps in technological advances in the field of wireless telephony. At just 10 years since the advent of smartphones, it is crucial to examine the benefits and disadvantages that have been report to us.
This article provides a brief introduction to tissue engineering, the process by which organs can be grown artificially. It covers the problems with organ transplants, the tissue engineering process, and the current successes and problems of the tec…
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…
###### Suggested Courses
Course of the Month17 days, 4 hours left to enroll