What is the relationship between linear velocity and angular velocity for a poin

Practice Questions

Q1
What is the relationship between linear velocity and angular velocity for a point on a rotating rigid body?
  1. v = rω
  2. v = ω/r
  3. v = r/ω
  4. v = ω + r

Questions & Step-by-Step Solutions

What is the relationship between linear velocity and angular velocity for a point on a rotating rigid body?
  • Step 1: Understand that linear velocity (v) is how fast something is moving in a straight line.
  • Step 2: Know 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 you are measuring on the rigid body.
  • Step 4: Realize that the relationship between linear velocity and angular velocity is expressed with the formula v = rω.
  • Step 5: Use the formula: if you know the radius (r) and the angular velocity (ω), you can find the linear velocity (v) by multiplying them together.
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