An astronaut measures her mass by means of a device consisting of a chair attached to a large spring. The period of oscillation she undergoes when set into motion is used to determine her mass. If her mass, together with the chair, is 172kg, and the time required for her to undergo 10 full oscillations is 27 seconds, what is the spring constant?

asked by Mikhail

11 years ago

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1 answer

T=2π•sqrt{m/k}
T=t/N
t/N=2π•sqrt{m/k}
(t/2πN)²=m/k
k=m(2πN/t)²

answered by Elena

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Question

An astronaut measures her mass by means of a device consisting of a chair attached to a large spring. The period of oscillation she undergoes when set into motion is used to determine her mass. If her mass, together with the chair, is 172kg, and the time required for her to undergo 10 full oscillations is 27 seconds, what is the spring constant?

1 answer

T=2π•sqrt{m/k}
T=t/N
t/N=2π•sqrt{m/k}
(t/2πN)²=m/k
k=m(2πN/t)²

Ask a New Question or answer this question.

Elena · Answer

T=2π•sqrt{m/k} T=t/N t/N=2π•sqrt{m/k} (t/2πN)²=m/k k=m(2πN/t)²