The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

Question

3 years ago

12

back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for pi.

2 answers:

madam [21] · Answer 1 · 2022-05-06T04:09:47+03:00

madam [21]3 years ago

7 0

Answer:

it is 3 on ed

Step-by-step explanation:

I did it

pantera1 [17] · Answer 2 · 2022-05-06T01:45:09+03:00

Remark

I like to work from the original equation.

Givens

T = 2.2 seconds

pi = 3.14

L = ??

Substitute and Solve

T = 2*pi*sqrt(L/32) Find the value of 2*pi

2.2 = 2*3.14* sqrt(L/32)

2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28

2.2/6.28 = sqrt(L/32)

0.35032 = sqrt(L/32) Square both sides.

0.122723 = L/32 Multiply both sides by 32

0.122723 * 32 = L

L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.