levo

Oscillations

Displacement, velocity and acceleration in simple harmonic motion

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on amplitude, period, frequency and angular frequency, the velocity and acceleration equations, and the phase relationships between the three quantities.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What is the equation for the velocity of an oscillator released from maximum displacement, and where in the cycle is it moving fastest?

Numbers

What is the equation for the acceleration of an oscillator, where is it greatest, and what is its phase relationship with displacement?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the relationships between period, frequency and angular frequency:

    Model answer

    T = 1/f = 2π/ω, and ω = 2πf.

  2. 2

    The displacement of an oscillator is given by x = A cos ωt. What starting condition does this assume?

    Model answer

    It assumes the oscillator was released from its maximum displacement at time t = 0.

  3. 3

    State the equation for the velocity of a simple harmonic oscillator released from maximum displacement:

    Model answer

    v = −Aω sin ωt.

  4. 4

    Where in the cycle is the oscillator moving fastest, and what is its maximum speed?

    Model answer

    It moves fastest as it passes through the equilibrium position, where its speed is Aω.

  5. 5

    State the equation for the acceleration of a simple harmonic oscillator released from maximum displacement:

    Model answer

    a = −Aω² cos ωt.

  6. 6

    Where is the acceleration of the oscillator greatest, and what value does it reach?

    Model answer

    It is greatest at maximum displacement, where its magnitude is Aω².

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Working as a Physicist
Mechanics
Electric Circuits
Materials

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

The gradient gives the .
accelerationvelocitydisplacement

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AThe equation is s = (u + v)t/2.
BThe equation is v = u + at.
CThe equation is s = ut + ½at².

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Speed means rate of change of distance.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Oscillations, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.