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A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the forc

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Question: A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?

Options:

  1. 100 N
  2. 50 N
  3. 25 N
  4. 75 N

Correct Answer: 100 N

Solution: 

Torque (Ο„) = Force (F) Γ— Radius (r) => F = Ο„ / r = 50 Nm / 0.5 m = 100 N.

A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the forc

Practice Questions

Q1
A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?
  1. 100 N
  2. 50 N
  3. 25 N
  4. 75 N

Questions & Step-by-Step Solutions

A torque of 50 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied tangentially to the wheel?
  • Step 1: Understand the formula for torque, which is Torque (Ο„) = Force (F) Γ— Radius (r).
  • Step 2: Identify the values given in the question: Torque (Ο„) = 50 Nm and Radius (r) = 0.5 m.
  • Step 3: Rearrange the formula to solve for Force (F): F = Ο„ / r.
  • Step 4: Substitute the values into the formula: F = 50 Nm / 0.5 m.
  • Step 5: Calculate the result: F = 100 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.
  • 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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