A wheel of radius 0.5 m is rotating with an angular speed of 10 rad/s. What is t

Practice Questions

Q1
A wheel of radius 0.5 m is rotating with an angular speed of 10 rad/s. What is the linear speed of a point on the edge of the wheel? (2022)
  1. 5 m/s
  2. 10 m/s
  3. 15 m/s
  4. 20 m/s

Questions & Step-by-Step Solutions

A wheel of radius 0.5 m is rotating with an angular speed of 10 rad/s. What is the linear speed of a point on the edge of the wheel? (2022)
  • Step 1: Identify the radius of the wheel. In this case, the radius (r) is 0.5 meters.
  • Step 2: Identify the angular speed of the wheel. Here, the angular speed (ω) is 10 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 = 0.5 m * 10 rad/s.
  • Step 5: Calculate the result: v = 5 m/s.
  • Angular Speed and Linear Speed Relationship – The relationship between angular speed (ω) and linear speed (v) is given by the formula v = rω, where r is the radius of the wheel.
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