The pendulum on a grandfather clock moves with simple harmonic motion, according to the equation y=8 cos 0.79t
, where y
 is in centimetres and t
 is in seconds. Find the displacement when t
 = 16 s. Your calculator must be set to radians.

The displacement of the pendulum at \( t = 16 \) seconds is approximately \( 7.98 \) cm.

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Here are 5 related questions to explore:
1. What is the amplitude of the pendulum's motion?
2. How would the displacement change if the angular frequency was different?
3. What is the maximum displacement of the pendulum?
4. How is the period of the pendulum related to its angular frequency?
5. How would the equation change if the pendulum were subject to damping?

**Tip:** In simple harmonic motion, the maximum displacement occurs when \( \cos(0) = 1 \), meaning the pendulum reaches its amplitude.

The pendulum on a grandfather clock moves with simple harmonic motion, according to the equation y=8 cos 0.79t, where y is in centimetres and t is in seconds. Find the displacement when t = 16 s. Your calculator must be set to radians.

Calculate the displacement of a pendulum using the simple harmonic motion equation y = 8 cos(0.79t) for t = 16 seconds. Explore trigonometric principles and simple harmonic motion concepts with a step-by-step solution. Ideal for students in Grades 10-12.

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