Question

Can someone help me with this and answer asap.

Answer 1

Choice B is correct answer.

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.

Answer 2

Length of the pendulum will be 254 centimeters.

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(L)/(980)` centimeters

Given parameters is T = 3.2 seconds

By putting the value of T in the formula

`3.2 = 2\pi \sqrt{(L)/(980) }`

`(3.2)/(2\pi ) =\sqrt{(L)/(980) }`

`((1.6)/(\pi ))^(2) = (L)/(980)`

`L = ((1.6)/(\pi ))^(2)(980) = (2508.8)/((3.14)^(2) )`

L = 254 centimeters.