Question

The maximum speed and acceleration of a simple harmonic oscillator are 0.87 m/s and 1.48 m/s^2...

The maximum speed and acceleration of a simple harmonic oscillator are 0.87 m/s and 1.48 m/s^2

A. Find the amplitude of this motion.

B. Find the period of this motion.

Express your answers with the appropriate units.

0 0
Add a comment Improve this question Transcribed image text
Answer #1


maximum speed vmax = Aw = 0.87 ..(1)

amax = Aw^2 = 1.48 ..(2)

from (2)/(1)

w = 1.48/0.87 = 1.7 rad/s

from (1) A*1.7 = 0.87

A =0.512 m

(b) w = 2pi/T = 1.7

2*3.14/T = 1.7

T = 3.7 s

Add a comment
Know the answer?
Add Answer to:
The maximum speed and acceleration of a simple harmonic oscillator are 0.87 m/s and 1.48 m/s^2...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The maximum speed and acceleration of a simple harmonic oscillator are 0.92 m/s and 1.54 m/s2...

    The maximum speed and acceleration of a simple harmonic oscillator are 0.92 m/s and 1.54 m/s2 . Find the oscillation amplitude.

  • An object executing simple harmonic motion has a maximum speed of 4.4 m/s and a maximum...

    An object executing simple harmonic motion has a maximum speed of 4.4 m/s and a maximum acceleration of 0.68 m/s2 . A. Find the amplitude of this motion (answer using two significant digits in m) B. Find the period of this motion ( answer using two significant digits in s)

  • The expression for the acceleration of a certain simple harmonic oscillator is given by a =...

    The expression for the acceleration of a certain simple harmonic oscillator is given by a = – (20 m/s2) cos (2.5t). a. Calculate the amplitude of the simple harmonic motion. b. Write an expression for the velocity of the same simple harmonic oscillator c. Write and expression for the displacement of the same simple harmonic oscillator

  • Simple Harmonic Motion Consider a harmonic oscillator with period 0.13 s. If the speed at the...

    Simple Harmonic Motion Consider a harmonic oscillator with period 0.13 s. If the speed at the equlibrium position is 2.10 m/s, what is the speed of a mass at a point which is displaced by 1.5 cm? (Work this out using conservation of energy). Please make sure to draw an energy bar chart for this. Find the answer and show the steps taken to get to the answer. Evaluate the answer and explain why it makes sense.

  • A simple harmonic oscillator at the position x=0 generates a wave on a string. The oscillator...

    A simple harmonic oscillator at the position x=0 generates a wave on a string. The oscillator moves up and down at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time t = 0, the oscillator is passing through the origin and moving down. The string has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. A simple harmonic oscillator at the position x = 0 generates a wave...

  • 1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm....

    1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm. The maximum acceleration experienced by the particle is 7.93 km/s2. (a) Find the period of the motion. (b) What is the maximum speed of the particle? (c) Calculate the total mechanical energy of this simple harmonic oscillator. 2) The orbit of the Moon around the Earth as projected along a diameter can be viewed as simple harmonic motion. Calculate the effective force constant k...

  • 1. The solution for a SHO (simple harmonic oscillator) is given as: x(t) = 0.1 sin(3t...

    1. The solution for a SHO (simple harmonic oscillator) is given as: x(t) = 0.1 sin(3t − π/6) meters. Include appropriate units in your answers. (a) What is the amplitude of oscillation? (b) What is the initial position of the oscillator? (c) What is the maximum velocity of the oscillator and at what value of x does it occur? (d) What is the maximum acceleration of the oscillator and where does it occur? (e) What are the period and frequency...

  • An object with mass 3.9 kg is executing simple harmonic motoon, attached to a spring with...

    An object with mass 3.9 kg is executing simple harmonic motoon, attached to a spring with spring constant 250 N/m. When the object is 0.018 m from its equilibrium position, it is moving with a speed of 0.50 m/s. A) Calculate the amplitude of the motion B) Calculate the maximum speed attained by the object Thank you! An object with mass 3.9 kg is executing simple harmonic motion, attached to a spring with spring constant 250 N/m. When the object...

  • can someone please help me answer these questions? A simple harmonic oscillator consists of a 10...

    can someone please help me answer these questions? A simple harmonic oscillator consists of a 10 kg mass attached to a spring with a spring constant of 120 N/m. The mass is displaced 20.37 m from the equilibrium position, held motionless, and then released. (a) Calculate the angular frequency and the period. For radians, enterrad" as the unit. For a full list of accepted units, use the "Units Help" link below. Number Units T Number Units (b) Calculate the maximum...

  • This scenario is for questions 1-2. A simple harmonic oscillator at the position x = 0...

    This scenario is for questions 1-2. A simple harmonic oscillator at the position x = 0 generates a wave on a string. The oscillator moves up and down at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time t = 0, the oscillator is passing through the origin and moving down. The string has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. a) Find the angular frequency...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT