Posted by **Anonymous** on Sunday, October 4, 2009 at 12:03pm.

Uniform Circular Motion:

Suppose that a particle's position is given by the following expression:

r(t) = Rcos(omega*t)i + Rsin(omega*t)j

1. Choose the answer that best completes the following sentence:

The particle's motion at t=0 can be described by ____________.

a. an ellipse starting at time t=0 on the positive x axis

b. an ellipse starting at time t=0 on the positive y axis

c. a circle starting at time t=0 on the positive x axis

d. a circle starting at time t=0 on the positive y axis

2. When does the particle first cross the negative x axis?

Express your answer in terms of some or all of the variables omega, R, and pi.

3. Find the particle's velocity as a function of time.

Express your answer using unit vectors (e.g., A i+ B j, where A and B are functions of omega, R, t, and pi).

4. Find the speed of the particle at time t.

Express your answer in terms of some or all of the variables omega, R, and pi.

- Physics -
**bobpursley**, Sunday, October 4, 2009 at 12:19pm
I will be happy to critique your thoughts. One comment: What is this x,y axis talk, the equation uses i,j axis.

- Physics -
**Anonymous**, Sunday, October 4, 2009 at 1:00pm
it is the function r(t).

- Physics -
**eva**, Saturday, October 10, 2009 at 10:52pm
2. pi/w

3. -wRsin(wt)ihat +wRcos(wt)jhat

4.R*w

- Physics -
**eva**, Saturday, October 10, 2009 at 10:54pm
1. a circle starting at time on the positive x axis

- Physics -
**eva**, Saturday, October 10, 2009 at 10:55pm
1.

circle on x axis

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