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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? *

Sagot :

leena

Hi there!

1.

The period of a pendulum can be calculated using the following equation:
[tex]\large\boxed{T = 2\pi \sqrt{\frac{L}{g}}}[/tex]

T = period (s)

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

Plug in the values:

[tex]T = 2\pi \sqrt{\frac{4}{9.8}} = \boxed{4.014 s}[/tex]

2.

Calculate the period:


[tex]T = \frac{\text{Time}}{\# of oscillations} = \frac{5}{20} = \boxed{0.4 s }[/tex]

Frequency is the reciprocal of the period, so:


[tex]f = \frac{1}{T} = \frac{1}{0.4} = \boxed{2.5 Hz}[/tex]

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