A hawk flies at 12.0 m/s in a horizontal circle of radius 12.0 m. Now suppose it flaps its wings harder and increases its circular speed at the rate of 1.20 m/s2 while staying in the same circular path. What is the magnitude of its acceleration, and in what direction is the acceleration vector?
A hawk flies at 12.0 m/s in a horizontal circle of radius 12.0 m. Now suppose it flaps its wings harder and increases its circular speed at the rate of 1.20 m/s2 while staying in the same circular path. What is the magnitude of its acceleration, and in what direction is the acceleration vector?
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 hawk flies at 12.0 m/s in a horizontal circle of radius 12.0 m.
- Now suppose it flaps its wings harder and increases its circular speed at the rate of 1.20 m/s2 while staying in the same circular path. What is the magnitude of its acceleration, and in what direction is the acceleration vector?
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Answer:
Magnitude of its acceleration. |a| = 12.06 m/s^2
Direction theta = 84.3°
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Could you provide a diagram and explanation of why the arctan of Ac/At gives the direction of the acceleration vector? I'd like to understand. I'm assuming that the angle is in reference to the axis of the radius. Thank you.
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