Suppose a 15-Centimeter Pendulum Moves According to the Equation $\theta = 0.6 \cos 8 t$

question 163

Multiple Choice

Suppose a 15-centimeter pendulum moves according to the equation $\theta = 0.6 \cos 8 t$ where $\theta$ is the angular displacement from the vertical in radians and $t$ is the time in seconds. Determine the rate of change of $\theta$ when $t = 7$ seconds. Round your answer to four decimal places.

• A) \(2.5034\) radians per second
• B) \(3.6185\) radians per second
• C) \(0.3129\) radians per second
• D) \(3.1535\) radians per second
• E) \(4.1724\) radians per second

---

Definitions:

Systemic Lupus Erythematosus

A chronic autoimmune disease that can cause inflammation and damage in various parts of the body, such as the skin, joints, and organs.

Renal Failure

A medical condition where the kidneys lose the ability to remove waste and balance fluids.

"Butterfly" Rash

A facial rash that has the shape of a butterfly, typically spreading across the nose and cheeks, often associated with lupus erythematosus.

Thymus

A gland located in the upper chest area that plays a crucial role in the development of the immune system in early life.