The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.

Step-by-step explanation:

Given

--- The variation

Required

Find f, when T =81; L = 9

We have:

Express as equation

Make k the subject

When

To solve for f, when T =81; L = 9

We have:

168

step-by-step explanation:

i am pretty sure that the answer is 168

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1