How do you calculate torque on a bolt?

Multiply the force applied by the length of the wrench: `Torque = Force × Length` (when applying force at 90 degrees). For example, 50 lbs of force on a 2-foot wrench produces `50 × 2 = 100 ft-lbs`.

How do you convert Newton-meters (N·m) to foot-pounds (ft-lb)?

Multiply Newton-meters by 0.737562: `ft-lb = N·m × 0.737562`. For example, 100 N·m equals 73.76 ft-lb.

How do you convert foot-pounds to Newton-meters?

Multiply foot-pounds by 1.355818: `N·m = ft-lb × 1.355818`. For example, 50 ft-lb equals 67.79 N·m.

What is the relationship between torque, RPM, and engine horsepower?

Engine Horsepower is calculated as `HP = (Torque in ft-lb × RPM) / 5,252`. At 5,252 RPM, horsepower and torque are always exactly equal.

Why does angle matter in torque calculations?

Torque is maximized when force is applied perpendicular ($90^\circ$, $\sin 90^\circ = 1$). If force is applied parallel to the lever arm ($0^\circ$, $\sin 0^\circ = 0$), zero rotational torque is produced.

What is the mechanical torque formula in physics?

Torque (τ) equals force (F) times lever arm length (r) times the sine of the angle (θ): `τ = r × F × sin(θ)`.

Science & Engineering Cluster

Torque Calculator (τ = r × F × sin θ Mechanical Torque)

Calculate rotational torque, lever arm distance, applied force, and angle across metric and imperial units.

TL;DR: Torque Calculator calculates rotational force and moment of force ($\tau = r \times F \times \sin\theta$) in Newton-meters ($\text{N}\cdot\text{m}$), foot-pounds ($\text{ft-lb}$), and inch-pounds ($\text{in-lb}$).

Force (N)

Distance from pivot (m)

Angle between force and lever (°)

What Is the Formula for Calculating Rotational Torque?

Torque (τ, in N·m or ft-lb) is calculated as: τ = r × F × sin(θ), where r is the lever arm distance from the axis of rotation to the force application point, F is the applied force, and θ is the angle between the force vector and the lever arm (sin 90° = 1 for perpendicular force).

How to Use the Torque Calculator

Our Torque Calculator performs high-precision mathematical operations directly in your browser with zero latency and complete client-side privacy.

Select which variable to solve: Torque ($\tau$), Force ($F$), Lever Radius ($r$), or Angle ($\theta$).
Enter the known mechanical parameters (e.g., wrench length, applied force, angle).
Select units (N·m, ft-lb, in-lb, kgf·m, Newtons, pounds-force).
Click 'Calculate' to see the resulting rotational moment of force.
Use values for automotive lug nut tightening, engine horsepower conversion, or mechanical design.

Mathematical Formula & Equations

Calculates rotational torque ($\tau$ in $\text{N}\cdot\text{m}$ or $\text{ft}\cdot\text{lb}$) from applied force $F$ and lever arm radius $r$.

\[ \tau = F \times r \times \sin(\theta) \]

Calculation Example

Applying $50\text{ N}$ perpendicular force on a $0.4\text{ m}$ wrench: $$\tau = 50 \times 0.4 = 20.0\text{ N}\cdot\text{m}$$

100% Client-Side Privacy & Data Security

All calculations, amortization schedules, variables, and sensitive numerical datasets execute 100% locally in your web browser memory. Your financial, medical, and personal values are never transmitted, logged, or uploaded to any external server.

Frequently Asked Questions

: Multiply the force applied by the length of the wrench: `Torque = Force × Length` (when applying force at 90 degrees). For example, 50 lbs of force on a 2-foot wrench produces `50 × 2 = 100 ft-lbs`.
: Multiply Newton-meters by 0.737562: `ft-lb = N·m × 0.737562`. For example, 100 N·m equals 73.76 ft-lb.
: Multiply foot-pounds by 1.355818: `N·m = ft-lb × 1.355818`. For example, 50 ft-lb equals 67.79 N·m.
: Engine Horsepower is calculated as `HP = (Torque in ft-lb × RPM) / 5,252`. At 5,252 RPM, horsepower and torque are always exactly equal.
: Torque is maximized when force is applied perpendicular ($90^\circ$, $\sin 90^\circ = 1$). If force is applied parallel to the lever arm ($0^\circ$, $\sin 0^\circ = 0$), zero rotational torque is produced.
: Torque (τ) equals force (F) times lever arm length (r) times the sine of the angle (θ): `τ = r × F × sin(θ)`.

Cite This Calculator

Need to reference this online calculator in a financial proposal, academic paper, blog post, or classroom curriculum? Copy a citation below.

NexLove.org. (2026). Torque Calculator [Online Calculation Tool]. https://nexlove.org/tools/torque-calculator

“Torque Calculator.” NexLove.org, 2026, nexlove.org/tools/torque-calculator.

NexLove.org (2026) Torque Calculator. Available at: https://nexlove.org/tools/torque-calculator (Accessed: 2026).

@misc{nexlove_torque_calculator,
  title = {Torque Calculator},
  author = {{NexLove.org}},
  year = {2026},
  url = {https://nexlove.org/tools/torque-calculator}
}

Embed This Tool

Add the live Torque Calculator to your own website with this snippet — it loads the real, working calculator in an iframe.

<iframe src="https://nexlove.org/embed/torque-calculator.html" width="100%" height="600" style="border:1px solid #e2e8f0;border-radius:12px" title="Torque Calculator — NexLove.org" loading="lazy"></iframe>

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