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Torque Calculator

Calculate the torque force generated by an object's rotation around an axis using this tool.

To Calculate:

Note: Please! enter any three values to know the fourth one.

Distance

m ▾

Force

N ▾

Angle

deg ▾

Torque

Nm ▾

Note: Please! enter any five values to know the sixth one.

Coil loop numbers:

Angle

deg ▾

Coil Current

A ▾

Coil Area

m² ▾

Magnetic Field

T ▾

Torque

Nm ▾

Related

The torque calculator helps determine the rotational force acting on an object, whether for a flat coil, a lever arm, or vector torque. Enter the known parameters, and the tool calculates the torque quickly for physics or engineering tasks.

What Is Torque?

Torque measures the tendency of a force to rotate an object about a fixed axis. The axis around which the object rotates is called the pivot point, often labeled as 'O'.

Torque Image

Torque is a vector quantity, meaning it has both magnitude and direction. Its SI unit is the Newton meter (N·m), represented by the symbol τ. You can also use a kinetic energy calculator to determine energy for moving objects.

Torque Equation:

Torque is calculated using:

\(\tau = r F \sin(\theta)\)

Where:

r = Distance from the pivot to the point where the force is applied
F = Magnitude of the applied force
θ = Angle between the lever arm and the applied force (sin θ = 1 when force is perpendicular)

How To Calculate Torque?

Use the formula below to compute torque in any rotational system:

\(\tau = r F \sin(\theta)\)

Example:

Suppose a mechanic applies a force of 50 N at the end of a 0.5 m wrench. The force is applied at a 60° angle to the lever arm. Calculate the torque produced.

Solution:

Step 1: Identify the force applied:

F = 50 N

Step 2: Measure the lever arm length:

r = 0.5 m

Step 3: Determine the angle:

θ = 60°

Step 4: Substitute into the torque formula:

\(\tau = r F \sin(\theta)\)

\(\tau = 0.5 \times 50 \times \sin(60°)\)

\(\tau = 25 \times 0.8660\)

\(\tau \approx 21.65 \, \text{N·m}\)

With a torque calculator, you can quickly find torque, or inversely solve for force or lever arm if torque is known. For vector torque involving cross products, the cross product calculator can be used for verification.

FAQs:

How Do You Convert Torque from lb·in to ft·lb?

Divide the torque value in inch-pounds by 12 to convert to foot-pounds.

How Much Torque Does a 1 HP Motor Produce?

A 1 HP motor at 1800 RPM typically generates around 3 ft·lb of torque. Smaller motors at the same RPM may produce approximately 1.5 ft·lb.

What Is the Dimensional Formula for Torque?

Torque equals force times lever arm length. Dimensional formula for force:
[M^1 L^1 T^-2]
For lever arm: [L]
Thus, torque: [M^1 L^2 T^-2]

How Does Torque Relate to Horsepower?

Horsepower measures the rate at which torque is applied to produce rotational motion. Multiplying torque (in ft·lb) by RPM and dividing by a constant gives horsepower. The horsepower calculator can be used to estimate engine power easily.

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