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 ∝ [tex]\sqrt{d}[/tex]
Introducing the constant of proportionality, we have that
T= K[tex]\sqrt{d}[/tex].
Step 2
When d=6, T=5, K =?
T= K[tex]\sqrt{d}[/tex].
5 = k[tex]\sqrt{6}[/tex]
5= k x 2.44949
k =5/2.44949
k =2.041
Therefore, when d = 3 , T= ?
T= K[tex]\sqrt{d}[/tex]
T= 2.041 x [tex]\sqrt{3}[/tex]
T= 3.53511≈ 3.54
