Researchers studying the Great Pacific Garbage Patch release custom floating sensor packages to track the motion of microplastics around the Hawaiian Islands. Assume that each sensor tracks a circular path at a constant speed. Be mindful of the measurement units. A sensor deployed in the North Pacific takes a period of 45.0 days to complete one circular round trip, moving with a constant speed of 1.10m/s. a) Solve for the radius of the circular path that the North Pacific sensor tracks. b) Solve for the magnitude of the acceleration. Another sensor deployed in the South Pacific measures a constant speed of 1.30 m/s, and a constant acceleration of 2.30x10 6 m/s². c) Solve for the radius of the circular path that the South Pacific sensor tracks.

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Chapter1: Units, Trigonometry. And Vectors
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### Monitoring Microplastics in the Pacific Ocean: Research and Calculations

Researchers studying the Great Pacific Garbage Patch release custom floating sensor packages to track the motion of microplastics around the Hawaiian Islands. Assume that each sensor tracks a circular path at a constant speed. Be mindful of the measurement units.

A sensor deployed in the North Pacific takes a period of 45.0 days to complete one circular round trip, moving with a constant speed of 1.10m/s.

#### North Pacific Sensor:

a) **Solve for the radius of the circular path that the North Pacific sensor tracks.**

b) **Solve for the magnitude of the acceleration.**

Another sensor deployed in the South Pacific measures a constant speed of 1.30 m/s, and a constant acceleration of 2.30×10^-6 m/s².

#### South Pacific Sensor:

c) **Solve for the radius of the circular path that the South Pacific sensor tracks.**

d) **Solve for the period (time to go in a circle) in days.**

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### Explanation of Graphs/Diagrams:

Since this image doesn't contain any graphs or diagrams, there is nothing additional to explain in that regard. The focus is on the provided information on sensor tracking data and the corresponding calculation prompts for understanding the sensor paths and their motion equations.
Transcribed Image Text:### Monitoring Microplastics in the Pacific Ocean: Research and Calculations Researchers studying the Great Pacific Garbage Patch release custom floating sensor packages to track the motion of microplastics around the Hawaiian Islands. Assume that each sensor tracks a circular path at a constant speed. Be mindful of the measurement units. A sensor deployed in the North Pacific takes a period of 45.0 days to complete one circular round trip, moving with a constant speed of 1.10m/s. #### North Pacific Sensor: a) **Solve for the radius of the circular path that the North Pacific sensor tracks.** b) **Solve for the magnitude of the acceleration.** Another sensor deployed in the South Pacific measures a constant speed of 1.30 m/s, and a constant acceleration of 2.30×10^-6 m/s². #### South Pacific Sensor: c) **Solve for the radius of the circular path that the South Pacific sensor tracks.** d) **Solve for the period (time to go in a circle) in days.** --- ### Explanation of Graphs/Diagrams: Since this image doesn't contain any graphs or diagrams, there is nothing additional to explain in that regard. The focus is on the provided information on sensor tracking data and the corresponding calculation prompts for understanding the sensor paths and their motion equations.
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