A circle is centered at the origin and has radius of 1.5. A particle starts at point (0,1.5) and travels counterclockwise on the circle making 150 revolutions per minute. Write the parametric equations for the motion of the particle, where t represents time in minutes:

x(t) =

y(t) =

Guest Jun 4, 2015

#3**+10 **

I made a slight error, Melody [now corrected].......

The particle makes 1 revolution every 1/150 of a sec = 4/600 sec

So at 0/600 x = 0 and y = 1.5

At 1/600 x = -1/5 and y = 0

At 2/600 x = 0 and y = -1.5

At 3/600 x = 1 y = 0

At 4/600 (1/150) x = 0 y = 1.5 right back where we started...

CPhill
Jun 4, 2015

#1**+5 **

x(t) = 1.5cos[300pi(t)]

y(t) = 1.5sin [300pi(t)]

Edit....I made a slight mistake here.... the particle starts at (0, 1.5)....so.....the correct equations are actually

x(t) = 1.5sin(-300pi/t)

y(t) = 1.5cos(300pi/t)

CPhill
Jun 4, 2015

#3**+10 **

Best Answer

I made a slight error, Melody [now corrected].......

The particle makes 1 revolution every 1/150 of a sec = 4/600 sec

So at 0/600 x = 0 and y = 1.5

At 1/600 x = -1/5 and y = 0

At 2/600 x = 0 and y = -1.5

At 3/600 x = 1 y = 0

At 4/600 (1/150) x = 0 y = 1.5 right back where we started...

CPhill
Jun 4, 2015