What is the relationship between linear velocity (v) and angular velocity (ω) fo

Practice Questions

Q1
What is the relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating object?
  1. v = ωr
  2. v = r/ω
  3. v = ω/r
  4. v = rω²

Questions & Step-by-Step Solutions

What is the relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating object?
Correct Answer: v = ωr
  • Step 1: Understand that linear velocity (v) is how fast something is moving in a straight line.
  • Step 2: Understand that angular velocity (ω) is how fast something is rotating, usually measured in radians per second.
  • Step 3: Identify that 'r' is the distance from the center of rotation to the point on the object (this is called the radius).
  • Step 4: Know that the formula v = ωr connects linear velocity and angular velocity.
  • Step 5: Realize that if you know the angular velocity (ω) and the radius (r), you can find the linear velocity (v) by multiplying them together.
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