Question

adisk of mass 2 kg and radius o.26 m hangs in the xy plane froma horizontal low-friction axle. the axle is o.07 m from the center of the disk. what is the frequency f of small-angle oscillations of the disk?

Answer 1

The frequency f of small-angle oscillations of the disk is:

f= 0.955Hz.

T = 2(π)²($I_{s}$ / mgh)

Given:

m = 2kg

r = 0.26m

h = 0.07m

$I_{s}$ = $I_{c}$ + md²

$I_{c}$ = $\frac{mr^{2} }{2}$ ( disk moment of Inertia)

d = h = 0.07

T = 2(π)²(  $\frac{mr^{2} }{2}$ + $\frac{m\frac{h^{2} }{2} }{mgh}$ )

T = 2(π)² ( $\frac{( r^{2} + 2h^{2} )}{2g}$ )

T = 1.047s

f = $\frac{1}{T}$

f = 0.955Hz

period

T = 1.047s

What is the definition of a frequency simple?

Frequency is the number of waves that pass a specific area in a defined amount of time. As a result, the frequency is 2 per second if a wave travels through in half a second.

What other names does frequency go by?

Cycles per second or temporal frequency are other terms for frequency. Frequency is often represented by the Greek letter ν or the Latin letter f. (nu).

Which five types of frequency are there?

Frequency Distribution Types

frequency distribution for groups.

Frequency distribution without grouping.

frequency distribution that is cumulative.

Frequency distribution relative.

distribution of the relative cumulative frequency.

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