need help rearanging this formula
T= 2pie sqrt(m/k solve for k
is this right
k= T^2/m 4pie^2
No, you made an algebraic error.
T= 2 pi sqrt(m/k) is the period of a spring-mass oscillating system.
T^2 = 4 pi^2 m/k
k = 4 pi^2 m /T^2
To rearrange the formula T=2π√(m/k) to solve for k, you need to follow a few steps:
Step 1: Square both sides of the equation to cancel out the square root.
T^2 = (2π√(m/k))^2
Step 2: Simplify the equation.
T^2 = 4π^2(m/k)
Step 3: Rearrange the equation to isolate k.
Multiply both sides of the equation by k.
k * T^2 = 4π^2m
Step 4: Divide both sides of the equation by T^2 to solve for k.
k = 4π^2m / T^2
Therefore, the correct rearranged formula is k = 4π^2m / T^2.