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Jess_18033152
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Homework Statement
How to rearrange following equation?
Homework Equations
f = (1/2pi) square root of (k/m)
The Attempt at a Solution
(f^2 x m)/ (1/2pi)^2
Is this how i would do it?
Thanks, I wanted to find k but worked out how to rearrange it :)BvU said:Depends on what your intention is
Do you vary something and measure something else, and want to obtain a linear relationship ?
The equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement, A is the amplitude, ω is the angular frequency, and φ is the phase angle.
To rearrange the equation, you can isolate any of the variables by performing algebraic operations. For example, if you want to solve for A, you would divide both sides by sin(ωt + φ), and if you want to solve for ω, you would divide both sides by t.
The amplitude, denoted by A, represents the maximum displacement from equilibrium. It determines the magnitude of the oscillations and is an important factor in understanding the behavior of a system in simple harmonic motion.
The angular frequency, denoted by ω, is responsible for the speed of oscillation in the system. A higher angular frequency results in faster oscillations, while a lower angular frequency results in slower oscillations.
Yes, the phase angle, denoted by φ, can affect the behavior of a system in simple harmonic motion. It determines the initial position of the system at time t = 0. A different phase angle can result in a different starting position and therefore, a different motion pattern.