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If a rolling object has a radius of 0.5 m and rolls with a linear speed of 2 m/s

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Question: If a rolling object has a radius of 0.5 m and rolls with a linear speed of 2 m/s, what is its angular speed?

Options:

  1. 4 rad/s
  2. 2 rad/s
  3. 1 rad/s
  4. 3 rad/s

Correct Answer: 4 rad/s

Solution: 

The angular speed (ω) can be calculated using the formula ω = v/r. Here, ω = 2 m/s / 0.5 m = 4 rad/s.

If a rolling object has a radius of 0.5 m and rolls with a linear speed of 2 m/s

Practice Questions

Q1
If a rolling object has a radius of 0.5 m and rolls with a linear speed of 2 m/s, what is its angular speed?
  1. 4 rad/s
  2. 2 rad/s
  3. 1 rad/s
  4. 3 rad/s

Questions & Step-by-Step Solutions

If a rolling object has a radius of 0.5 m and rolls with a linear speed of 2 m/s, what is its angular speed?
  • Step 1: Identify the given values. The radius (r) of the rolling object is 0.5 meters and the linear speed (v) is 2 meters per second.
  • Step 2: Write down the formula to find angular speed (ω). The formula is ω = v / r.
  • Step 3: Substitute the values into the formula. Replace v with 2 m/s and r with 0.5 m.
  • Step 4: Calculate the angular speed. Divide 2 m/s by 0.5 m to get ω = 4 rad/s.
  • Angular Speed Calculation – This question tests the understanding of the relationship between linear speed and angular speed in rolling objects, specifically using the formula ω = v/r.
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