SOLUTION: The period T, in seconds, of a pendulum of length L, in feet, may be approximated using the formula T = 2•pi•sqrt{L/32} For part B, express your answer both as a squ

Question 1208653: The period T, in seconds, of a pendulum of length L, in feet, may be approximated using the formula

T = 2•pi•sqrt{L/32}

For part B, express your answer both as a square root and as a decimal.

A. Solve the given formula for L.

B. Find the period T of a pendulum whose length is 8 inches.

For part B, 8 inches must be converted to feet before substituting into the given formula.
You say?
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
a)
Note that we want to isolate the term that has L. Dividing both sides by 2pi gives . Squaring both sides gives . Finally, multiplying both sides by 32 gives .
b)
There are 12 inches in a foot, so 8 inches is equal to 8/12 feet, or 2/3 feet. Plugging that in for L gives . Simplifying and rationalizing gives . Expressing this as a decimal gives 0.906899682... The answer is irrational, and so round it as necessary.
RELATED QUESTIONS
The formula for the period of a pendulum is t=2[pi]sqrt(L/G) where t is the period in... (answered by nyc_function)

I need help find the answer to this problem: "The time that a pendulum of a grandfather... (answered by nerdybill,richwmiller)

The length of time (T) in seconds it takes the pendulum of a clock to swing through one... (answered by ikleyn)

The period T (in seconds) of a pendulum can be modeled by (T= 1.11 to the square root of... (answered by jsmallt9)

The period T (in seconds) of a pendulum can be modeled by (T= 1.11 multiplied by the... (answered by Alan3354)

Hello: Here is my problem that I need assistance with. Thank you. The period T (in (answered by tutor_paul)

The formula T = 2π√(l/g) relates a pendulum's period, T, in seconds (the time... (answered by stanbon)

I am having difficulty with this. Please help. if a pendulum has a period of 2 seconds, (answered by vleith,Theo)

The amount of time it takes a period of a pendulum is the amount of time it takes to... (answered by stanbon)