A clock is hanging on a wall, with the centre of the clock 2.5 m above the floor. Both the minute hand and the hour hand are 10 cm long. The second hand is 6 cm long. For each hand, determine the equation of the cosine function that describes the distance of the tip of the hand above the floor as a function of time. Assume that the time, t, is in minutes and that the distance, D(t), is in centimetres. Also assume that 1-0 is midnight.
A clock is hanging on a wall, with the centre of the clock 2.5 m above the floor. Both the minute hand and the hour hand are 10 cm long. The second hand is 6 cm long. For each hand, determine the equation of the cosine function that describes the distance of the tip of the hand above the floor as a function of time. Assume that the time, t, is in minutes and that the distance, D(t), is in centimetres. Also assume that 1-0 is midnight.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 67E
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