Question

A pendulum takes 43.6 seconds to complete 10 full swings. What is the length of the pendulum?

4.72 m
5.51 m
6.80 m
9.44 m

Answer 1

Answer: L = 4.72 m

Step-by-step explanation:

t=43.6 seconds, n=10

T= t/n = time period

= 43.6s/10 = 4.36s

t = 2pie square root of L/g

L= length

L = t^2/4pie^2g

4.36^2 x 9.8/4(22/7)^2

L = 4.791 m

L = 4.72 m

Answer 2

The length of the pendulum can be calculated using the formula:

T = 2π√(L/g)

Where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.

We can rearrange this formula to solve for L:

L = gT^2 / (4π^2)

Given that the pendulum takes 43.6 seconds to complete 10 full swings, the period of the pendulum is:

T = (43.6 seconds) / (10 swings) = 4.36 seconds/swing

The acceleration due to gravity is approximately 9.8 m/s^2.

Substituting these values into the formula, we get:

L = (9.8 m/s^2) × (4.36 s/swing)^2 / (4π^2) = 5.51 m

Therefore, the length of the pendulum is 5.51 m.