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Chapter 10 - NCPN

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5 Write the equation in the form y – k = Asin B(x – h) to find the<br />

equation that fits the Intellectual sine curve. see margin<br />

6 Repeat Steps 2 through 5 for the Emotional and Physical<br />

sine curves. see margin<br />

Activity 4: Swing of a Pendulum<br />

Problem Statement<br />

Use a string and a washer to create a<br />

pendulum and measure the period and<br />

amplitude of the pendulum. Model the<br />

motion of the pendulum with a periodic<br />

function and graph the function. Experiment<br />

with factors such as the length of the string<br />

and the weight of the pendulum to see how<br />

each affects the swing of the pendulum.<br />

Equipment<br />

Graphing<br />

calculator<br />

Protractor<br />

Scissors<br />

Stopwatch<br />

String<br />

Washers or<br />

other weights<br />

Procedure<br />

1 Tie one end of a string to a weight such as a washer or a nut.<br />

Cut the string to a length between 8 and 20 inches.<br />

sample string length: 15 in.<br />

2 Attach the other end of the string to a fixed point such as<br />

a coat hanger hook. You could also tie the end to a pencil<br />

and hold the pencil level against a wall to form a swinging<br />

pendulum.<br />

494 <strong>Chapter</strong> <strong>10</strong> Trigonometric Functions and Identities

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