Answer:
Length of the pendulum will be 254 centimeters.
Step-by-step explanation:
In this question the formula to calculate the time period is given and we have to measure the length of new pendulum to be replaced with.
Formula is [tex]T= 2\pi \sqrt\frac{L}{980}[/tex] centimeters
Given parameters is T = 3.2 seconds
By putting the value of T in the formula
[tex]3.2 = 2\pi \sqrt{\frac{L}{980} }[/tex]
[tex]\frac{3.2}{2\pi } =\sqrt{\frac{L}{980} }[/tex]
[tex](\frac{1.6}{\pi })^{2} = \frac{L}{980}[/tex]
[tex]L = (\frac{1.6}{\pi })^{2}(980) = \frac{2508.8}{(3.14)^{2} }[/tex]
L = 254 centimeters.
