Posted by **Yasha** on Sunday, April 15, 2012 at 7:49pm.

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 -
**Anonymous**, Tuesday, November 18, 2014 at 12:48pm
3

## Answer this Question

## Related Questions

- science - two tuning forks are struck at the same time. one tuning forkhas a ...
- science - two tuning forks are struck at the same time. one tuning forkhas a ...
- physical science explorations - Two tuning forks are struck at the some time. ...
- physical science - two tuning forks are struck at the same time. One tuning fork...
- Physical Science - Two tuning forks are struck at the same time. One tuning fork...
- trig - express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + ...
- physical science - two tuning forks are struck at the same time. one tuning ...
- Physical science - Two hunting forks are struck at the same time. One tuning ...
- Physics - Two identical tuning forks have frequencies of 512 Hz. If one is held ...
- Math/Physics - Two identical tuning forks have frequencies of 512 Hz. If one is ...