What is the magnitude of torque produced by a force of 2.4 N applied at a distance of 17 cm from the point of rotation at an angle of 45 degrees?

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What is the magnitude of torque produced by a force of 2.4 N applied at a distance of 17 cm from the point of rotation at an angle of 45 degrees?

To determine the magnitude of torque produced by a force, the formula used is: Torque (τ) = r * F * sin(θ) where: - r is the distance from the point of rotation to the point where the force is applied (in meters), - F is the magnitude of the applied force (in Newtons), and - θ is the angle between the force vector and the line from the point of rotation to the point of application of the force. In this case: - The distance r is given as 17 cm, which converts to meters by dividing by 100, resulting in 0.17 m. - The force F is 2.4 N. - The angle θ is given as 45 degrees. Now, applying the values to the formula: 1. Calculate sin(θ): sin(45 degrees) = √2 / 2 (approximately 0.7071). 2. Substitute the values into the torque formula: τ = 0.17 m * 2.4 N * 0.7071. 3. Conduct the multiplication: τ ≈ 0.17 * 2.4 * 0.7071 = 0.17 * 1

To determine the magnitude of torque produced by a force, the formula used is:

Torque (τ) = r * F * sin(θ)

where:

  • r is the distance from the point of rotation to the point where the force is applied (in meters),

  • F is the magnitude of the applied force (in Newtons), and

  • θ is the angle between the force vector and the line from the point of rotation to the point of application of the force.

In this case:

  • The distance r is given as 17 cm, which converts to meters by dividing by 100, resulting in 0.17 m.

  • The force F is 2.4 N.

  • The angle θ is given as 45 degrees.

Now, applying the values to the formula:

  1. Calculate sin(θ):

sin(45 degrees) = √2 / 2 (approximately 0.7071).

  1. Substitute the values into the torque formula:

τ = 0.17 m * 2.4 N * 0.7071.

  1. Conduct the multiplication:

τ ≈ 0.17 * 2.4 * 0.7071 = 0.17 * 1

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