A particle P travels with constant speed on a circle of radius r = 6.0 m (see th

Question

A particle P travels with constant speed on a circle of radiusr= 6.0m(see the figure) and completes one revolution in 20.0s. The particle passes through 0 att= 0.

a)With respect to 0, find the particle's position vector at t = 10.0s. What is it magnitude?

b)What is its angle with repect to thex-axis?

c)What is thex-component of the velocity att= 10.0s?

d)What is they-component of the velocity att= 10.0s?

e)Find its acceleration att= 10.0s? What is thex-component of the acceleration att= 10.0s?

f)What is they-component of the acceleration att= 10.0s?

Explanation / Answer

One revolution = 20 s a) At t=10 s Position = (0,2r) b) Angle wrt x axis = 90 degrees c) Vel = -1.88 m/s d) Vel = 0 m/s e) a = 0 f) a = 0.18

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