Question

O

10 points
What is the period of a pendulum consisting of a 6-kg object oscillating
on a 4-m string? *
0.25 s
2 s
O O O
35
45
A mass-spring system makes 20 complete oscillations in 5 seconds. What 10 points
is the period and frequency of the oscillations? *

Answer 1

Hi there!

1.

The period of a pendulum can be calculated using the following equation:

`\large\boxed{T = 2\pi \sqrt{(L)/(g)}}`

T = period (s)

L = length of string (m)
g = acceleration due to gravity (m/s²)

Plug in the values:

`T = 2\pi \sqrt{(4)/(9.8)} = \boxed{4.014 s}`

2.

Calculate the period:

`T = \frac{\text{Time}}{\# of oscillations} = (5)/(20) = \boxed{0.4 s }`

Frequency is the reciprocal of the period, so:

`f = (1)/(T) = (1)/(0.4) = \boxed{2.5 Hz}`