A very tall light standard is swaying in an east-west direction in a strong wind. An observer notes that the time difference between the vertical position and the furthest point of sway was 2 seconds. The pole is 40 metres tall. At the furthest point of sway, the tip of the pole is 1° out of the vertical position when measured from the bottom of the pole. Create a sinusoidal equation that models the motion of the tip of the pole as a displacement from the vertical position as a sinusoidal function of time. Assume time starts when the tip of the pole is furthest east. Include a sketch of the graph of your equation.
A very tall light standard is swaying in an east-west direction in a strong wind. An observer notes that the time difference between the vertical position and the furthest point of sway was 2 seconds. The pole is 40 metres tall. At the furthest point of sway, the tip of the pole is 1° out of the vertical position when measured from the bottom of the pole. Create a sinusoidal equation that models the motion of the tip of the pole as a displacement from the vertical position as a sinusoidal function of time. Assume time starts when the tip of the pole is furthest east. Include a sketch of the graph of your equation.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section: Chapter Questions
Problem 20T: A ball on a spring starts at its lowest point of 6 inches below equilibrium, bounces to its maximum...
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- A very tall light standard is swaying in an east-west direction in a strong wind. An observer notes that the time difference between the vertical position and the furthest point of sway was 2 seconds. The pole is 40 metres tall. At the furthest point of sway, the tip of the pole is 1° out of the vertical position when measured from the bottom of the pole. Create a sinusoidal equation that models the motion of the tip of the pole as a displacement from the vertical position as a sinusoidal
function of time. Assume time starts when the tip of the pole is furthest east. Include a sketch of the graph of your equation. (4 marks)
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