# Harmonic Oscillation

The velocity of a certain simple harmonic oscillator is given by: v=-(12m/s)sin [(6.0rad/s)t]. What is the amplitudeof the simple harmonic oscillator. Please show your work.

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. Integrate the velocity equation vs time and you will get the displacement equation. The coefficient of the cos term will be the amplitude.

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. 2 m

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### Physics

A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 624-Hz source of sound. The microphone vibrates up and down in simple harmonic motion

2. ### physics

A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin (PIE + PIE/3). The velocity (in m/s) of the body at t=1 second is:

3. ### Cal

If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. s'(t) = -Aω sin(ωt + δ) When is the velocity 0? (Use n as the arbitrary integer.) t= _____________

4. ### Physics

So I'm dong a lab about simpkle harmonic motion and I have to answer questions at the end of the lab were I'm provided this question to answer here's a step that's not the actual question but the question makes reference to it

1. ### Physics

At what positions is the speed of a simple harmonic oscillator half its maximum? That is, what values of x / X give v = ±vmax/2 , where X is the amplitude of the motion? Hello, I am so confused about this question. I am not

2. ### physics

A small ball is set in horizontal motion by rolling it with a speed of 3.00 m/s across a room 12.0m long, between two walls. Assume that the collisions made with each wall are perfectly elastic and that the motion is perpendicular

3. ### physics

A simple harmonic oscillator has a frequency of 2.05 Hz. What will be its amplitude of oscillation if it's started from its equillibrium position with a velocity of 1.9 m/s? Express your answer in m to three significant digits.

4. ### physics

A particle that undergoes simple harmonic motion has a period of 0.4 s and an amplitude of 12 mm. The maximam velocity of the particle is?

1. ### physics

Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 3.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 62.0 kg

2. ### physics

A simple harmonic oscillator takes 13.0 s to undergo seven complete vibrations. (a) Find the period of its motion. (b) Find the frequency in hertz. (c) Find the angular frequency in radians per second.

3. ### Trigonometry

Given the equation for simple harmonic method d=1/12 sin(60 pi t) answer the following questions: b)Find the frequency i got 60pi c)Calculate the value of d when t=3 d)Determine the least positive value of t for which d=0.

4. ### Physics

At t=0 a grinding wheel has an angular velocity of 24.0rad/s . It has a constant angular acceleration of 35.0rad/s2 until a circuit breaker trips at time t = 1.90s . From then on, it turns through an angle 436rad as it coasts to a