- #1
TyErd
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how do you make k the subject in the time period of oscillation formula:
T=sqrt(m/k)^(1/2pi)
T=sqrt(m/k)^(1/2pi)
Your formula is ambiguous. This is what it looks like to me.TyErd said:how do you make k the subject in the time period of oscillation formula:
T=sqrt(m/k)^(1/2pi)
RightTyErd said:so it is k=m/(T^2pi)?
TyErd said:oh sorry there's no sqrt, my bad its suppose to be m/k^1/2pi
This equation is known as the harmonic oscillator equation and is commonly used in physics to calculate the period (T) of an object undergoing simple harmonic motion. It relates the mass (m) of the object, the spring constant (k) of the spring, and the angular frequency (ω = 2π/T) of the motion.
Solving for k allows us to determine the spring constant, which is a characteristic property of the spring. It tells us how stiff or soft the spring is and is essential in understanding the behavior of the system.
To solve for k, we first need to isolate it on one side of the equation. We can do this by squaring both sides of the equation, which will eliminate the square root. Then, we can rearrange the equation to solve for k, which will involve dividing both sides by m. The final step is to substitute in the known values for T and m and solve for k.
The mass (m) is typically measured in kilograms (kg), the spring constant (k) is measured in Newtons per meter (N/m), and the period (T) is measured in seconds (s).
Yes, this equation can be used for any type of simple harmonic motion, as long as the system follows Hooke's Law. This means that the force exerted by the spring is directly proportional to the displacement of the object from its equilibrium position.