An object is moving in a circular path with a radius of 3 m and an angular speed

Practice Questions

Q1
An object is moving in a circular path with a radius of 3 m and an angular speed of 2 rad/s. What is the linear speed of the object?
  1. 3 m/s
  2. 6 m/s
  3. 9 m/s
  4. 12 m/s

Questions & Step-by-Step Solutions

An object is moving in a circular path with a radius of 3 m and an angular speed of 2 rad/s. What is the linear speed of the object?
  • Step 1: Identify the radius of the circular path. In this case, the radius (r) is 3 meters.
  • Step 2: Identify the angular speed of the object. Here, the angular speed (ω) is 2 radians per second.
  • Step 3: Use the formula for linear speed, which is v = r * ω.
  • Step 4: Substitute the values into the formula: v = 3 m * 2 rad/s.
  • Step 5: Calculate the result: v = 6 m/s.
  • Circular Motion – The relationship between linear speed and angular speed in circular motion, where linear speed is calculated as the product of the radius and angular speed.
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