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:

  1. 👍 0
  2. 👎 0
  3. 👁 423
  1. There's probably a typo, you probably meant to post
    x(t)=5 sin (π + πt/3)
    The velocity is the derivative of x with respect to time, giving:
    velocity=x'(t)=5(π/3)cos(π+πt/3)
    Substitute t=1 in x'(t) to get the velocity at t=1.

    1. 👍 0
    2. 👎 0
  2. The original problem asked for the velocity at t= 1s of the position x(t)= 5sin(pt + p/3).
    Take the derivative of the position function dx(t) = v(t) = 5pCos(p + p/3)

    v(t) = -5*p*Cos(p + p/3)

    v(t) = -7.9

    The negative sign is part of the equation for the angular frequency of the velocity of the body.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is

    asked by Anonymous on July 31, 2011
  2. physics

    An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E. What is the object's velocity

    asked by anna on December 15, 2015
  3. Difficult Trig Word Problem

    The displacement of a spring vibrating in damped harmonic motion is given by y(t) = 4e^-3t sin(2pi*t) where y = displacement and t = time with t greater than/equal to zero. Find the time(s) when the spring is at its equilibrium

    asked by Greg on November 14, 2012
  4. Calc

    A buoy oscillates in simple harmonic motion as waves go by. The buoy moves a total of 3.5 feet from its low point to its high point and it returns to its high point every 10 seconds. What is the equation that describes this motion

    asked by Emily on July 30, 2008
  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

    asked by Justin on July 28, 2013
  2. Physics

    A body vibrates in SHM (simple harmonic motion) with the frequency of 50HZ and an amplitude of 4cm, find the (a) the period (b) the acceleration at the middle and the end of the path of oscillation.?

    asked by Sarah Banks on October 4, 2019
  3. Science

    A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of

    asked by Seeoo on November 24, 2016
  4. College Physics

    A mass of 0.4 kg, hanging from a spring with a spring constant of 80 N/m, is set into an up-and-down simple harmonic motion. What is the velocity of the mass when at its maximum displacement of 0.1 m?

    asked by charlie on October 24, 2010
  1. math

    A mass is attached to a hanging spring and undergoes simple harmonic motion about an equilibrium location at y = 0. The displacement of the mass (in cm) is given by y=10cos(πt/6) where t is the number of seconds since the mass

    asked by opo on July 23, 2019
  2. Precal, TRUE OR FALSE

    TRUE OR FALSE The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion.

    asked by l on May 28, 2014
  3. physics

    A clown is rocking on a rocking chair in the dark. His glowing red nose moves back and forth a distance of 0.42m exactly 30 times a minute in a simple harmonic motion. (a) what is the amplitude of this motion? (b) what is the

    asked by Peter on December 12, 2015
  4. physics

    ) A 4.8 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0 s, the block has a displacement of -0.90 m a velocity of -0.80 m/s and an acceleration of +2.9 m/s^2. The

    asked by Anonymous on December 3, 2013

You can view more similar questions or ask a new question.