Physics equations/06-Uniform Circular Motion and Gravitation/Q:derive

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The following derivation of a=v2/r for uniform circular motion needs to be studied before the student attempts this quiz:

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uniform circular motion (here the Latin d was used instead of the Greek Δ

Using the figure we define the distance traveled by a particle during a brief time interval, , and the (vector) change in velocity:


1     , and


2     (rate times time equals distance).


3     (definition of acceleration).


4     (taking the absolute value of both sides).


5     (by similar triangles). Substituting (2) and (4) yields:


6     , which leads to , and therefore:


7    

Practice quiz[edit]

all of these questions refer to this image:

UniCircMot gv52.png







  

1

Is valid for uniform circular motion?

Yes
No

2

Is valid for uniform circular motion?

Yes
No

3

Is valid for uniform circular motion?

Yes
No

4

Is valid for uniform circular motion?

Yes
No

5

Is valid for uniform circular motion?

Yes
No

6

Is valid for uniform circular motion?

Yes
No

7

Is valid for uniform circular motion?

Yes
No

8

Is valid for uniform circular motion?

Yes
No

9

Is valid for uniform circular motion?

Yes
No

10

Is valid for uniform circular motion?

Yes
No

11

Is valid for uniform circular motion?

Yes
No

12

Is valid for uniform circular motion?

Yes
No

13

Is valid for uniform circular motion?

Yes
No

14

Is valid for uniform circular motion?

Yes
No