179k views
2 votes
I need help on 27 please

I need help on 27 please-example-1
User Microwth
by
5.0k points

1 Answer

2 votes

Answer:

J. 9

Explanation:

t = 2π √(L / 32)

t is directly proportional to √L:

t = k√L

Solving for L:

L = (t / k)²

Let's say t₁ and L₁ are the time and length of Pendulum 1, and t₂ and L₂ are the time and length of Pendulum 2. That means:

L₁ = (t₁ / k)²

L₂ = (t₂ / k)²

Given that t₁ = 3 t₂:

L₁ = (3 t₂ / k)²

L₁ = 9 (t₂ / k)²

L₁ = 9 L₂

Pendulum 1 is 9 times longer than Pendulum 2.

User Maschaub
by
5.0k points