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A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, wh

Practice Questions

Q1
A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, what is the force applied tangentially?
  1. 50 N
  2. 20 N
  3. 10 N
  4. 5 N

Questions & Step-by-Step Solutions

A torque of 10 Nm is applied to a wheel. If the radius of the wheel is 0.2 m, what is the force applied tangentially?
  • Step 1: Understand the formula for torque, which is τ = F × r, where τ is torque, F is force, and r is the radius.
  • Step 2: Identify the values given in the question: Torque (τ) = 10 Nm and Radius (r) = 0.2 m.
  • Step 3: Rearrange the formula to solve for force (F): F = τ / r.
  • Step 4: Substitute the values into the formula: F = 10 Nm / 0.2 m.
  • Step 5: Calculate the force: 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 circular path, responsible for causing rotational motion.
  • Units of Measurement – Understanding the units of torque (Nm) and force (N) is crucial for correctly applying formulas.
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