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SS2: PHYSICS - 1ST TERM

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  1. Scalars & Vectors | Week 1
    5 Topics
    |
    1 Quiz
  2. Equations of Motion | Week 2
    3 Topics
    |
    1 Quiz
  3. Projectile | Week 3
    5 Topics
    |
    1 Quiz
  4. Equilibrium of Forces I | Week 4
    4 Topics
  5. Equilibrium of Forces II | Week 5
    4 Topics
    |
    1 Quiz
  6. Stability of a Body | Week 6
    4 Topics
    |
    1 Quiz
  7. Simple Harmonic Motion (SHM) | Week 7
    4 Topics
  8. Speed, Velocity & Acceleration & Energy of Simple Harmonic Motion | Week 8
    5 Topics
    |
    1 Quiz
  9. Linear Momentum | Week 9
    6 Topics
    |
    1 Quiz



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Topic Content:

  • Speed
  • Acceleration
  • Relationship between Angular Acceleration & Linear Acceleration
  • Summary
Simple harmonic motion from circular motion

Speed:

From the diagram, as the particle P moves round the circle once it sweeps through an angle = 360º. Where 360º = 2π radians, in time T seconds.

The time rate of change of angle with time (t) is called the angular velocity (ω).   

ω = \( \frac{angle \: turned \: through \: the \: body}{time \: taken} \)

ω = \( \frac{θ}{t}\)

∴ θ = ωt

This is similar to:
distance = velocity × time

s = v × t

∴ v = \( \frac{s}{t}\) for linear motion;

The angle θ is measured in radians
since, 2π rad = 360º
from, ω = \( \frac{θ}{t}\)
angular velocity is measured in radians per second (rad/s)

When θ changes with time, the length of the arc PZ = s, also changes with time.

By definition, θ in radians = \( \frac{s}{r}\)

s = rθ

Let r = A = radius of the circle.

The angular velocity (ω) is given by:

 

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