A girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i+ vyj+ vz k m/s II

A girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i+ vyj+ vz k m/s II

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A girl swings a 0.190 kg rock attached to a taut string in a
circle around her head; her hand holds the end of the string
above her head, and the string angles down slightly. The
string is massless and 0.680 m long.
A coordinate system lies with its origin at the location
where the string comes out of the girl's hand. The positive
z-axis points vertically upwards, the positive y- axis points
horizontally towards the right, and the positive x-axis
points out of the screen.
At a certain instant, the rock makes 3.25 revolutions per
second (rev/s) in a counterclockwise direction, as seen from
above. The string is inclined at an angle of 0 = 12.4° below
the xy-plane, and the projection of the string onto the xy-
plane makes an angle o = 36.8° with the positive x-axis.
What is the tangential velocity vector v in meters per
second (m/s) at this instant? Report your answer using ijk
unit vector notation.
i = v, i + vyj+ vz k
m/s

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