Maximum velocity of mass-spring system with given displacement equation

[Resmo112]

Homework Statement

The displacement of the mass in a mass-spring system is given by the expression x(t) =(0.120 m) sin(1.73 t). What is the maximum velocity of the mass?*

A.* 0.348 m/s

B.* 0.307 m/s

C.* 0.256 m/s

D.* 0.208 m/s

E.* 0.175 m/s*

Homework Equations

V=omegaA

The Attempt at a Solution

I'm guess that's the equation I need to use because the answer is .208 m/s but I don't understand how that works. because one value is the period and the other is the amplitude for that equation to work i need the angular frequency?

 

[da_nang]

You can view the equation as x(t) = d*sin(ωt) = d*sin(2πft) where d is the maximum displacement, ω is the angular velocity, f is the angular frequency. In this case, ω = 1.73 rad/s.

 

[Resmo112]

that makes sense. You guys have been really great this semester and I really appreciate the help.