the formula T=1/f relates the period of a sound wave T to its frequency f. solve this formula for f.
To solve the formula T = 1/f for f, we need to isolate the variable f.
1. Start with the given formula: T = 1/f
2. To eliminate the fraction, we can multiply both sides of the equation by f:
T * f = 1
3. Now we have T times f equals 1. To isolate f, we need to divide both sides of the equation by T:
(T * f) / T = 1 / T
Simplifying, we get:
f = 1 / T
So, the formula for f in terms of T is f = 1/T.
T = 1/f
We solve for f. What we can do here is to get the reciprocal of both sides to get f:
reciprocal of T: 1/T
reciprocal of 1/f: f
Therefore
1/T = f, or
f = 1/T