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A torque of 30 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 30 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied at the edge of the wheel?

Options:

  1. 60 N
  2. 30 N
  3. 15 N
  4. 75 N

Correct Answer: 60 N

Solution: 

Torque (τ) = Force (F) × Radius (r) => F = τ / r = 30 Nm / 0.5 m = 60 N.

A torque of 30 Nm is applied to a wheel with a radius of 0.5 m. What is the forc

Practice Questions

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

Questions & Step-by-Step Solutions

A torque of 30 Nm is applied to a wheel with a radius of 0.5 m. What is the force applied at the edge of the wheel?
Correct Answer: 60 N
  • Step 1: Understand the formula for torque, which is Torque (Ï„) = Force (F) × Radius (r).
  • Step 2: Identify the values given in the question: Torque (Ï„) = 30 Nm and Radius (r) = 0.5 m.
  • Step 3: Rearrange the formula to solve for Force (F): F = Ï„ / r.
  • Step 4: Substitute the values into the formula: F = 30 Nm / 0.5 m.
  • Step 5: Calculate the result: F = 60 N.
  • Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the distance from the pivot point (radius).
  • Force Calculation – The force applied at the edge of the wheel can be determined by rearranging the torque formula.
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