Question

The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.

Answer 1

Answer: T= 3.54

Step-by-step explanation:

Step 1

Given that

The time period, T, s doirectly proportional  to the square root of the length, d, of the pendulum, we have that

T  ∝  $\sqrt{d}$

Introducing the constant of proportionality, we have that

T= K$\sqrt{d}$.

Step 2

When d=6, T=5, K =?

T= K$\sqrt{d}$.

5 = k$\sqrt{6}$

5=  k x 2.44949

k =5/2.44949

k =2.041

Therefore, when d = 3 , T= ?

T= K$\sqrt{d}$

T= 2.041 x $\sqrt{3}$

T= 3.53511≈ 3.54