Question 9 of 16 Incorrect X Mapa e Sapling Learning macmillan learning Starting

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Question 9 of 16 Incorrect X Mapa e Sapling Learning macmillan learning Starting at the point (4.57 m, 0 m) on the X-y plane, a physics student runs around the origin counterclockwise, with a constant radius and at a constant speed of 2.13 m/s. Find the student's angular speed. Number 0.466 rad/ s The student maintains this speed for 11.5 s. What are the x and y coordinates of the student's position then? Number 2.03 Number - 4.09 Incorrect O Previous @ Give Up & View Solution Try Again 0 Next > Explanation

Explanation / Answer

Given

p(4.57,0) ; v = 2.13 m/s

we know that

v = rw

w = v/R = 2.13/4.57 = 0.466 rad/s

Hence, w = 0.466 rad/s

We know that

theta = w t

theta = 0.466 x 11.5 = 5.359 rad

theta = 5.359 rad = 307.1 deg

at this angle, his position vector will be:

r = 4.57 cos307.1 i + 4.57 sin307.1 j

r = 2.757 i - 3.645 j

Hence, x = 2.787 m ; y = -3.645 m

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