The formula to calculate the Net Torque is:
\[ T_{net} = \sum f \cdot \sin(a) \cdot r \]
Where:
Net Torque is the sum of all torques acting on an object, taking into account the magnitude of the forces, the distances from the pivot point, and the angles at which the forces are applied. Torque is a measure of the rotational force on an object and is calculated as the product of the force, the radius, and the sine of the angle between the force and the radius.
Let's assume the following values:
Using the formula to calculate the Net Torque:
\[ T_{net} = (10 \cdot \sin(30^\circ) \cdot 0.5) + (15 \cdot \sin(45^\circ) \cdot 0.75) + (20 \cdot \sin(60^\circ) \cdot 1) \]
Calculating the individual components:
\[ T_{net} = (10 \cdot 0.5 \cdot 0.5) + (15 \cdot 0.7071 \cdot 0.75) + (20 \cdot 0.866 \cdot 1) \]
\[ T_{net} = 2.5 + 7.96 + 17.32 = 27.78 \text{ N-m} \]
The Net Torque is 27.78 N-m.
