Find the torque applied to a doorknob if a person applies a force of 18 N 80° from the axis of rotation, at a distance of 2.0 cm from the doorknob. use grade 12 knowledge
Question
Find the torque applied to a doorknob if a person applies a force of 18 N 80° from the axis of rotation, at a distance of 2.0 cm from the doorknob. use grade 12 knowledge
Solution
Sure, to find the torque, we can use the formula:
Torque = Force x Distance x sin(θ)
where:
- Force is the force applied, which is 18 N.
- Distance is the distance from the axis of rotation, which is 2.0 cm or 0.02 m (since we need to convert cm to m for the SI unit consistency).
- θ is the angle between the force and the position vector, which is 80°.
Let's plug the values into the formula:
Torque = 18 N x 0.02 m x sin(80°)
First, calculate the sine of 80 degrees. Using a calculator, sin(80°) is approximately 0.9848.
So, Torque = 18 N x 0.02 m x 0.9848
Now, multiply these values together:
Torque = 0.353728 N.m
So, the torque applied to the doorknob is approximately 0.354 N.m.
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