# calculus

posted by .

Interference
Two identical tuning forks are struck, one a fraction of a second after the other. The sounds produced are modeled by f1(t) = C sin(wt) and f2(t) = C sin(wt + Alpha). The two sound waves interfere to produce a single sound modeled by the sum of these functions

f(t) = C sin(wt) + C sin(wt + Alpha)

a) Use the addition Formula for Sine to show that f can be written in the form f(t) = A sin(wt) + B Cos(wt), where A and B are constants that depend on Alpha.
b) Suppose that C = 10 and Alpha = pi/3. Find constants k and Ö so that f(t) = ksin(wt+Ö)

• calculus -

3

## Similar Questions

1. ### trig

express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that …
2. ### waves (physics)

Two sinussoidal waves identical except for phase travel in the same direction along a string and interfere to produce a resultant wave given by y(x,t)= (3.0mm) sin(20 rad/m)x - 4.0rad/s t + 0.820 rad) with x in meters and t in seconds. …
3. ### physics - doppler effect

Two identical tuning forks can oscillate at 329.6 Hz. A person is located somewhere on the line between them. The speed of sound in the air is 343 m/s. Calculate the beat frequency as measured by this individual under the following …
4. ### physical science

two tuning forks are struck at the same time. One tuning fork has a frequency 20hz while the second tuning fork has afrequency of 226hz.how many beats will result?
5. ### science

two tuning forks are struck at the same time. one tuning forkhas a frequency of 20hz while the second tuning fork has a frequency of 226 hz. How many beats will result?
6. ### science

two tuning forks are struck at the same time. one tuning forkhas a frequency of 20hz while the second tuning fork has a frequency of 226 hz. How many beats will result?
7. ### physical science

two tuning forks are struck at the same time. one tuning forkhas a frequency of 20hz while the second tuning fork has a frequency of 226 hz. How many beats will result?
8. ### physical science explorations

Two tuning forks are struck at the some time. One tuning fork has a requency of 20 Hz while the second tuning fork has a frequency of 226 Hz. How many beats will result?
9. ### Physical Science

Two tuning forks are struck at the same time. One tuning fork has a frequency of 20 Hz while the second tuning fork has a frequency of 226 Hz. How many beats will result?
10. ### Physical science

Two hunting forks are struck at the same time. One tuning fork has a frequency of 20 Hz while the second fork has a frequency of 226 Hz. How many beats will result?

More Similar Questions