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Compute the torque under the following considerations:

- Force [tex]F = 89 \, \text{N}[/tex]
- Angle [tex]\theta = 24.7^\circ[/tex]
- Radius [tex]r = 2.34 \, \text{m}[/tex]

Answer :

Final answer:

The torque under the given considerations is approximately 88.8 Nm.

Explanation:

To compute the torque, we can use the formula:

Torque = Force × Distance × sin(θ)

Given:

  • Force (F) = 89N
  • Distance (r) = 2.34m
  • Angle (θ) = 24.7°

Substituting the given values into the formula:

Torque = 89N × 2.34m × sin(24.7°)

Calculating the sin(24.7°) using a calculator:

Torque ≈ 89N × 2.34m × 0.408

Torque ≈ 88.8 Nm

Therefore, the torque under the given considerations is approximately 88.8 Nm.

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