Question

Can someone help me with this and answer asap.

Answer 1

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 $T= 2\pi \sqrt\frac{L}{980}$ centimeters

Given parameters is T = 3.2 seconds

By putting the value of T in the formula

$3.2 = 2\pi \sqrt{\frac{L}{980} }$

$\frac{3.2}{2\pi } =\sqrt{\frac{L}{980} }$

$(\frac{1.6}{\pi })^{2} = \frac{L}{980}$

$L = (\frac{1.6}{\pi })^{2}(980) = \frac{2508.8}{(3.14)^{2} }$

L = 254 centimeters.

Answer 2

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given the time period of pendulum.

We have to find the the length of pendulum.

We have given the formula for time period of new pendulum.

T = 2π√L/980

Separating the length from above formula, we have

T² = 4π²(L/980)

980×T² = 4π²× L

L = 980T² / 4π²

Putting the given value of T, we have

L = 980(3.2)² / 4π²

L = 980(10.24) / 4π²

L = 254 centimeters

Hence, the length of new pendulum is 254 centimeters.