contestada

A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation , where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct

Respuesta :

Answer:

Explanation:

We know that

[tex]T=2\pi\sqrt{\frac{m}{k} }[/tex]

T² = 4π² m / k

k =  4π² m / T²

Putting the dimension on the right hand side

k = M / T² = MLT⁻² / L = Force / length = N / m

So dimension of k = MT⁻² and unit will be N/m .

Otras preguntas