# Wave Calculations (Grades 11-12)

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## Wave Calculations

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

Wavelength depends on two quantities: the frequency of the source [math]f_s[/math], and the wave speed in the medium [math]v_w[/math]. If the source vibrates quickly, at a , then many waves will be loaded into the medium each second, and the waves will therefore be closely packed, having a .

2.

At a railroad crossing, watching a train go by, you estimate the length of each railroad car to be 10m. You start to get antsy as you realize, that in 60 seconds, you've counted only 47 cars so far, and there is train as far as the eye can see.

a. What is the frequency of the train cars?

b. What is the train's speed?

a. What is the frequency of the train cars?

b. What is the train's speed?

3.

Sound waves traveling at 350m/s are made by a tuning fork that vibrates 431 times each second. What is the wavelength of the sound waves produced?

4.

Daisy and Isabella are on the edge of the pool with their feet dangling quietly in the water. Isabella jumps into the water creating a surface wave. The leading edge of the wave travels to the other end of the pool and back to Daisy's end of the pool in 9.32 seconds. The pool is 82.020999 feet long. Determine the speed of the wave in m/s.

5.

Determine the wavelength or frequency of the following values, using the speed of sound at [math]20degC[/math]. Include your calculations in the space provided, as well as, what you are solving for in your answer. [math]v_"sound in air"=[331.4+(0.6)(T_(degC))]m/s[/math]

A.

Given: 43267 Hz

B.

Given: 6.17m

C.

Given: 230Hz

D.

Given 17 Hz.

E.

Given: the temperature drops to [math]7degC[/math]; 2937Hz.

F.

Given: the temperature goes up to [math]37.8degC[/math]; 1.83m.

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