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If a torque of 25 Nm is applied to a wheel with a radius of 0.5 m, what is the f

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Question: If a torque of 25 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. 50 N
  2. 40 N
  3. 30 N
  4. 20 N

Correct Answer: 50 N

Solution:

Force = Torque / Radius = 25 Nm / 0.5 m = 50 N.

If a torque of 25 Nm is applied to a wheel with a radius of 0.5 m, what is the f

Practice Questions

Q1
If a torque of 25 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. 50 N
  2. 40 N
  3. 30 N
  4. 20 N

Questions & Step-by-Step Solutions

If a torque of 25 Nm is applied to a wheel with a radius of 0.5 m, what is the force applied at the edge of the wheel?
  • Step 1: Understand that torque is the turning force applied to an object, and it is calculated using the formula: Torque = Force x Radius.
  • Step 2: Rearrange the formula to find Force: Force = Torque / Radius.
  • Step 3: Identify the values given in the question: Torque = 25 Nm and Radius = 0.5 m.
  • Step 4: Substitute the values into the rearranged formula: Force = 25 Nm / 0.5 m.
  • Step 5: Perform the division: 25 divided by 0.5 equals 50.
  • Step 6: Conclude that the force applied at the edge of the wheel is 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.
  • Force Calculation – The force applied at the edge of the wheel can be calculated using the formula: Force = Torque / Radius.
  • Units of Measurement – Understanding the units of torque (Nm) and force (N) is crucial for correctly applying the formula.
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