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TyErd
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How is the formula for period of oscillation derived?
t=2pisqrt(m/k)
t=2pisqrt(m/k)
In sprindTyErd said:How is the formula for period of oscillation derived?
t=2pisqrt(m/k)
The formula for period of oscillation is T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant.
The formula for period of oscillation is derived using Hooke's Law and Newton's Second Law of Motion. Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. Newton's Second Law states that the force exerted on an object is equal to its mass multiplied by its acceleration. By combining these two laws, we can derive the formula for period of oscillation.
Yes, the formula for period of oscillation can be applied to all types of oscillating systems, as long as they follow Hooke's Law and Newton's Second Law of Motion.
The period of oscillation is affected by the mass of the object, the spring constant, and the amplitude of the oscillation. Increasing the mass or the spring constant will result in a longer period, while increasing the amplitude will result in a shorter period.
The frequency of an oscillating system is the number of oscillations it makes per unit time. It is the inverse of the period, meaning that as the period increases, the frequency decreases, and vice versa. Therefore, the formula for period of oscillation can also be written as T = 1/f, where f is the frequency.