A merry-go-round is stationary. A clog is running around the merry-go-round on the ground just outside its circumference, moving with a constant angular speed of 0.750 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the edge of the merry-go-round one- third of a revolution in front of him. At the instant the dog sees the bone ( t = 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.015 0 rad/s 2 . (a) At what time will the dog first reach the bone? (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?
A merry-go-round is stationary. A clog is running around the merry-go-round on the ground just outside its circumference, moving with a constant angular speed of 0.750 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the edge of the merry-go-round one- third of a revolution in front of him. At the instant the dog sees the bone ( t = 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.015 0 rad/s 2 . (a) At what time will the dog first reach the bone? (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?
Solution Summary: The author explains how to determine the time when the dog will meet the bone on the merry-go-round.
A merry-go-round is stationary. A clog is running around the merry-go-round on the ground just outside its circumference, moving with a constant angular speed of 0.750 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the edge of the merry-go-round one- third of a revolution in front of him. At the instant the dog sees the bone (t = 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.015 0 rad/s2. (a) At what time will the dog first reach the bone? (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
Will you please walk me through the calculations in more detail for solving this problem? I am a bit rusty on calculus and confused about the specific steps of the derivation: https://www.bartleby.com/solution-answer/chapter-3-problem-15e-modern-physics-2nd-edition/9780805303087/7cf8c31d-9476-46d5-a5a9-b897b16fe6fc
please help with the abstract. Abstract - This document outlines the format of the lab report and describes the Excel assignment. The abstract should be a short paragraph that very briefly includes the experiment objective, method, result and conclusion. After skimming the abstract, the reader should be able to decide whether they want to keep reading your work. Both the format of the report and the error analysis are to be followed. Note that abstract is not just the introduction and conclusion combined, but rather the whole experiment in short including the results. I have attacted the theory.
Using the Experimental Acceleration due to Gravity values from each data table, Data Tables 1, 2, and 3; determine the Standard Deviation, σ, mean, μ, variance, σ2 and the 95% Margin of Error (Confidence Level) Data: Ex. Acc. 1: 12.29 m/s^2. Ex. Acc. 2: 10.86 m/s^2, Ex. Acc. 3: 9.05 m/s^2
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