A particle P travels with constant speed on a circle of radius r = 3.0 m (see th

Question

A particle P travels with constant speed on a circle of radius r = 3.0 m (see the figure) and completes one revolution in 20.0 s. The particle passes through 0 at t = 0. Find the magnitude and direction of each of the following vectors.

- Find its velocity at the beginning and end of that 5.00 s interval. What is the x-component of the velocity at t = 5.0 s?

- What is the y-component of the velocity at t = 5.0 s?

- Find its acceleration at t = 5.0 s? What is the x-component of the acceleration at t = 5.0 s?

- What is the y-component of the acceleration at t = 10.0 s?

Explanation / Answer

velocity at the beginning   =   3 * 2 * 3.14/20.0

                                         =    0.942 m/sec      towards positive x axis

velocity at end of that 5.00 s interval   =    0.942 m/sec      towards positive y axis

=> x-component of the velocity at t = 5.0 s   =   0 m/sec

=>   y-component of the velocity at t = 5.0 s   =   0.942 m/sec

=> acceleration at t = 5.0 s    =   0.9422/3

                                                 =   - 0.295 m/sec2                     towards   - ve x axis .

=>   x-component of the acceleration at t = 5.0 s    =   - 0.295 m/sec2  

=>   y-component of the acceleration at t = 10.0 s   =   - 0.295 m/sec2  

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