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A torque of 12 Nm is produced by a force acting at a distance of 4 m from the pi

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Question: A torque of 12 Nm is produced by a force acting at a distance of 4 m from the pivot. What is the magnitude of the force?

Options:

  1. 2 N
  2. 3 N
  3. 4 N
  4. 5 N

Correct Answer: 3 N

Solution: 

Force = Torque / Distance = 12 Nm / 4 m = 3 N.

A torque of 12 Nm is produced by a force acting at a distance of 4 m from the pi

Practice Questions

Q1
A torque of 12 Nm is produced by a force acting at a distance of 4 m from the pivot. What is the magnitude of the force?
  1. 2 N
  2. 3 N
  3. 4 N
  4. 5 N

Questions & Step-by-Step Solutions

A torque of 12 Nm is produced by a force acting at a distance of 4 m from the pivot. What is the magnitude of the force?
  • Step 1: Understand that torque is calculated using the formula: Torque = Force x Distance.
  • Step 2: Rearrange the formula to find Force: Force = Torque / Distance.
  • Step 3: Substitute the given values into the formula: Torque = 12 Nm and Distance = 4 m.
  • Step 4: Calculate the Force: Force = 12 Nm / 4 m.
  • Step 5: Perform the division: 12 divided by 4 equals 3.
  • Step 6: Conclude that the magnitude of the force is 3 N.
  • Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the distance from the pivot point.
  • Force Calculation – The force can be calculated by rearranging the torque formula: Torque = Force x Distance.
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