Physics: Module 1

• Angular velocity is defined as the rate of change of angular displacement. SI Unit is omega, ω= rad /s
• ω = angular displacement, θ / time, t
• The time taken for one complete revolution is called period, T.
• Since ω = θ/ t

  ω = 2π/T
• ω = 2πf
• The linear velocity, V of an object at any point in the circle is given by:

  1. V = s/t
  2. θ= ωt
  3. θ = s/r
• V = rω
• Centripetal Acceleration: a = rω²
• Centripetal Force: F = mrω²
• F = mv² / r
• Motion In A Horizontal Circle: T = mv² / r
• Motion In A Vertical Circle:

  1. T = mv²/r (right)
  2. T = mv²/r - mg (up)
  3. T = mv²/r + mg (down)
• A Conical Pendulum:

  1. Tsinθ = mv²/r
  2. Tcosθ = mg
  3. Tanθ = v²/rg
• Result of Banking:

  1. Rsinθ = mv²/r
  2. Rcosθ = mg
  3. Tanθ = v²/rg
• Newton's Law of Gravitational Field Strength states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of their distance.
• Gravitational Field Strength: a region in which Gravitational field strength acts.
• The Gravitational field around the earth is represented by field lines. These are straight lines extending from the field region around the earth radially inward toward the earth's centre.