Tangential and Radial Acceleration

  • Thread starter blob84
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  • #1
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Homework Statement


A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700m/s in 1.75s. (a) At
t = 1.25s, find the magnitude and direction of the radial acceleration, (b) the tangential acceleration, and(c) the total acceleration of the point.

Homework Equations


[tex]a_t=\frac{v_f-v_i}{t}[/tex]
[tex]a_c=v^2/r[/tex]

The Attempt at a Solution


[tex]a_t=0.4m/s^2, t=1.25s→a_c=1.25m/s^2[/tex]
I don't know how to find the total accelleration, are the components of the vector [tex]a^→=(a_c, a_t)=(1.25, 0.5)m/s^2[/tex]??
 

Answers and Replies

  • #2
Doc Al
Mentor
45,208
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Yes. Those are the components of the acceleration. What's the magnitude of that vector?
 
  • #3
25
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the magnitude of the vector is:
[tex]sqrt((a_c)^2+(a_t)^2)=sqrt((1.25^2+0.4^2))=1.31m/s^2[/tex]
and the angle should be [tex]arctan(a_t/a_c)=arctan(0.4/1.25)=17.7°[/tex].
 
  • #4
Doc Al
Mentor
45,208
1,545
Good. (And you caught your typo in your last equation.)

When you give the angle, be sure to specify with respect to what. A diagram helps.
 

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