Question

The graph below represents the * variation of position of a mass in a mass spring system with respect to time . The speed of the mass at t = 1 s is equal to :

Answer 1

Given data:

The given time is t=1 s.

From the graph following observation can be made,

The amplitude of the graph is A=10 cm=0.1 m.

The time period is t=1 s.

The angular velocity can be calculated as,

`\begin{gathered} \omega=(2\pi)/(t) \\ \omega=(2\pi)/(1) \\ \omega=6.3\text{ rad/s} \end{gathered}`

The speed can be at t=1 s will be,

`\begin{gathered} v=A\omega \\ v=(0.1)(6.3) \\ v=0.63\text{ m/s} \end{gathered}`

Thus, the spee