Question

Simple Pendulum: A 34-kg child on an 18-kg swing set swings back and forth through small angles. If the length of the very light supporting cables for the swing is 4.9 m, how long does it take for each complete back-and-forth swing

Answer 1

The time taken to back and forth is 4.4 s .

Step-by-step explanation:

Length, L = 4.9 m

let the time period is T.

Acceleration due to gravity, g = 9.8 m/s^2

Use the formula of time period

`T = 2 \pi√(L){g}\\\\T = 2 * 3.14√(4.9){9.8}\\\\T = 4.4 s`

Answer 2

The correct answer is "4.443 sec".

Step-by-step explanation:

Given:

Mass of child,

= 34 kg

Mass of swing,

= 18 kg

Length,

= 4.9 m

The time period of pendulum will be:

T =
`2 \pi √(4g)`

=
`2 \pi \sqrt{(4.9)/(9.8) }`

=
`4.443 \ sec`