The minute hand on a backwards clock rotates 0.1 radius lengths per second counter-clockwise. Assume that the position of the minute hand is at the 15-minute mark. a What is the measure of the angle of rotation @ after t seconds? Preview b. Define a function g that relates the minute hand's vertical distance above the center of the clock (in radians) as a function of the number of seconds elapsed. Preview c. How long (in seconds) does it take for the minute hand to complete a full rotation? Preview d. What is the period of the function g? Preview

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.6: Graphs Of Other Trigonometric Functions
Problem 85E
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Example 2: Backwards Clock
second counter-clockwise. Assume that the position of the minute hand is
The minute hand on a backwards clock rotates 0.1 radius lengths
at the 15-minute mark.
a. What is the measure of the angle of rotation e after t seconds?
Preview
b. Define a function g that relates the minute hand's vertical distance above the center of the clock (in radians) as a function of the number of
seconds elapsed.
Preview
c. How long (in seconds) does it take for the minute hand to complete a full rotation?
Preview
d. What is the period of the function g?
Preview
Submit
Transcribed Image Text:Example 2: Backwards Clock second counter-clockwise. Assume that the position of the minute hand is The minute hand on a backwards clock rotates 0.1 radius lengths at the 15-minute mark. a. What is the measure of the angle of rotation e after t seconds? Preview b. Define a function g that relates the minute hand's vertical distance above the center of the clock (in radians) as a function of the number of seconds elapsed. Preview c. How long (in seconds) does it take for the minute hand to complete a full rotation? Preview d. What is the period of the function g? Preview Submit
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