Physics HELP!

posted by .

The position of an object connected to a spring varies with time according to the expression x = (7.1 cm) sin (2.1π t). Find
(a) the period of this motion (b) the frequency of the motion (c) the amplitude of the motion (d) the first time after t=0 that the object reaches the position x = 2.6 cm (Make sure your calculator is in radians mode)

  • Physics HELP! -

    (a)
    Compare
    x = (7.1 cm) sin (2.1π t)
    with
    x=Asin(ωt)
    Then
    ω= 2.1π,
    => T=2π/ ω =
    = 2 π/2.1π=0.7 rad/s
    (b)
    f=1/T=1.42 Hz
    (c)
    A=7.1 cm
    (d)
    x=Asin(ωt)
    2.6 = 7.1 sin (2.1π t)
    sin (2.1π t) =2.6/7.1=0.366
    (2.1π t)=sin⁻¹0.366=0.375 rad
    t=0.375/2.1π=0.0569 s.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    when an object of mass M1 is hung on a vertical spring and set vertical simple harmonic motion, its frequency is 12 Hz. When another object of mass m2 is hung on the spring along with m1, the frequency of the motion is 4hz. Find the …
  2. physics (3 separate questions)

    1. The motion of a body is described by the equation ay = −308y. (a) Find the angular frequency. (b) Find the frequency. (c) Find the period. 2. A 2.10 kg mass attached to a spring oscillates with a period of 0.395 s and an amplitude …
  3. physics help!

    Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 155 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of …
  4. computer network engineering

    a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length. the ball is started in motion with no initial velocity by displacing it 6 in above the equilibrium position. assuming …
  5. math

    a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length. the ball is started in motion with no initial velocity by displacing it 6 in above the equilibrium position. assuming …
  6. physics

    The position of an object connected to a spring varies with time according to the expression x = (6.2 cm) sin (9.1ð t). Find (a) the period of this motion
  7. Physics

    The period of motion of an object-spring system is T = 0.474 s when an object of mass m = 296 g is attached to the spring. (a) Find the frequency of motion in hertz. _______Hz (b) Find the force constant of the spring. _______N/m (c) …
  8. physics

    When a 1.3kg mass was attached to a spring, the spring stretched 21cm from its equilibrium position. The mass spring system was then set into oscillatory motion by providing the mass with an initial velocity. Its oscillatory motion …
  9. Physics

    The position of a particle is given by the expression x = 2.00 cos (6.00πt + π), where x is in meters and t is in seconds. (a) Determine the frequency. ______Hz (b) Determine period of the motion. ______s (c) Determine the …
  10. physics

    In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x = 4.7 cos ( 4t + π/6 ) where x is in centimeters and t is in seconds. Find the period of the motion.

More Similar Questions