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A torque of 15 N·m is applied to a wheel with a radius of 0.3 m. What is the for

Practice Questions

Q1
A torque of 15 N·m is applied to a wheel with a radius of 0.3 m. What is the force applied tangentially to the wheel?
  1. 25 N
  2. 50 N
  3. 45 N
  4. 30 N

Questions & Step-by-Step Solutions

A torque of 15 N·m is applied to a wheel with a radius of 0.3 m. What is the force applied tangentially to the wheel?
  • Step 1: Understand the formula for torque, which is Torque (τ) = Force (F) × Radius (r).
  • Step 2: Identify the values given in the question: Torque (τ) = 15 N·m and Radius (r) = 0.3 m.
  • Step 3: Rearrange the formula to solve for Force (F): F = τ / r.
  • Step 4: Substitute the values into the formula: F = 15 N·m / 0.3 m.
  • Step 5: Calculate the result: F = 50 N.
  • Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the radius at which the force is applied.
  • Tangential Force – Tangential force is the component of force that acts along the edge of a wheel, causing it to rotate.
  • Formula Rearrangement – Understanding how to rearrange the torque formula to solve for force is essential in this problem.
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