One type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.700 s for a 0.0225 kg mass?

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08-12-2022
Physics

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One type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.700 s for a 0.0225 kg mass?

Answer :

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bharathparasad577 bharathparasad577 · Answer 1 · 2022-12-15T00:39:07-05:00

The force constant of the spring is 1.81 N/m.

When all other forces acting on the mass in a damped mass-spring system are grouped together into one term denoted by F(t). The spring constant is the type of force that is required to stretch the string.

Using the relation;

T = 2π√m/k

T = period = 0.700 s

m = mass in kilograms = 0.0225-kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π²m/T²

k = 4 × (3.14)² × 0.0225/(0.700 )²

k = 1.81 N/m

Therefore, the force constant of a spring needed to produce a period of 0.700 s for a 0.0225 kg mass is 1.81 N/m.

To know more about spring, refer: brainly.com/question/6284546

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