A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, wh

Practice Questions

Q1
A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially at the edge of the wheel?
  1. 15 N
  2. 30 N
  3. 60 N
  4. 75 N

Questions & Step-by-Step Solutions

A torque of 30 Nm is applied to a wheel. If the radius of the wheel is 0.5 m, what is the force applied tangentially at the edge of 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) = 30 Nm and Radius (r) = 0.5 m.
  • Step 3: Rearrange the formula to solve for Force (F): F = τ / r.
  • Step 4: Substitute the values into the formula: F = 30 Nm / 0.5 m.
  • Step 5: Calculate the force: F = 60 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, responsible for causing rotation.
  • Units of Measurement – Understanding the units of torque (Nm), force (N), and radius (m) is crucial for solving problems involving rotational dynamics.
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