ω=km⎯⎯⎯⎯√ . This is the formula for the angular frequency ω of a mass m suspended from a spring of spring constant k. Solve this

Question

3 years ago

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formula for m.

1 answer:

Sindrei [870] · Answer 1 · 2022-10-28T18:16:47+03:00

The formula for the mass in terms of angular velocity and spring constant is m = ω²/k

Given the expression as:

ω = √km

Given that

ω is the angular velocity

m is the mass suspended from a spring

k is the spring constant

Making m the subject of the formula

Step 1: Take the square of both sides

ω² = (√km)²

ω² = km

Step 2: Divide both sides by k

ω²/k = km/k

ω²/k = m

Swap

m = ω²/k

Hence the formula for the mass in terms of angular velocity and spring constant is m = ω²/k