Net Torque Calculator Physics

Net Torque Formula:

\[ \text{Net } \tau = \tau_{\text{clockwise}} - \tau_{\text{counterclockwise}} \]

Net Torque (Net τ):

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1. What is Net Torque?

Net torque is the vector sum of all torques acting on an object. It determines the rotational acceleration of the object according to Newton's second law for rotation: τ_net = Iα, where I is moment of inertia and α is angular acceleration.

2. How Does the Calculator Work?

The calculator uses the net torque formula:

\[ \text{Net } \tau = \tau_{\text{clockwise}} - \tau_{\text{counterclockwise}} \]

Where:

\( \tau_{\text{clockwise}} \) — Sum of all clockwise torques (Nm)
\( \tau_{\text{counterclockwise}} \) — Sum of all counterclockwise torques (Nm)

Explanation: Clockwise torques are typically considered negative and counterclockwise positive in physics convention, but this calculator uses absolute values and applies the appropriate sign convention automatically.

3. Importance of Net Torque Calculation

Details: Calculating net torque is essential for analyzing rotational motion, determining whether an object will rotate, and calculating angular acceleration. It's fundamental in engineering, physics, and mechanical design applications.

4. Using the Calculator

Tips: Enter both clockwise and counterclockwise torque values in Newton-meters (Nm). Positive results indicate net counterclockwise torque, negative results indicate net clockwise torque.

5. Frequently Asked Questions (FAQ)

Q1: What is the sign convention for torque?
A: Typically, counterclockwise torques are considered positive and clockwise torques negative, following the right-hand rule convention.

Q2: What units are used for torque?
A: Torque is measured in Newton-meters (Nm) in the SI system.

Q3: How does net torque relate to rotational equilibrium?
A: When net torque equals zero (Στ = 0), the object is in rotational equilibrium and won't experience angular acceleration.

Q4: Can torque be negative?
A: Yes, negative torque indicates rotation in the clockwise direction, while positive torque indicates counterclockwise rotation.

Q5: What factors affect torque magnitude?
A: Torque depends on the force applied, the distance from the pivot point (lever arm), and the angle between the force vector and lever arm.