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Dovator [93]
2 years ago
5

a vertical spring oscillates with a frequency of 3.0 hz when a 0.60 kg mass is hung from it. determine the frequency when only a

0.38 kg mass hangs from it.
Physics
1 answer:
Sophie [7]2 years ago
4 0

By angular speed, the frequency is 2.39 Hz.

We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as

ω² = k / m

where ω is angular speed, k is spring constant,  and m is the mass.

The angular speed can be calculated by

ω = 2πf

Hence,

ω² = k / m

(2πf)² = k / m

k = (2πf)² / m

where f is frequency.

From the question above, we know that:

m1 = 0.6 kg

f1 = 3 Hz

m2 = 0.38 kg

The spring is same, hence the spring constant is the same

k1 = k2

(2πf1)² / m1 = (2πf2)² / m2

f1² / m1 = f2² / m2

3² / 0.6 = f2² / 0.38

f2² = 5.7

f2 = 2.39 Hz

Find more on angular speed at: brainly.com/question/6860269

#SPJ4

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