Torque Calculator

What Is A Torque?

This is the amount of force that is acting on a certain object to put in a rotational motion about an axis. The object rotates around which point is known as its pivot point 'O'. 

This force has a magnitude and direction that’s why it is known as a vector quantity. The SI unit of torque is Newton meter(N⋅m) and its symbol is τ. Also, you can use a kinetic energy calculator to find how much kinetic energy is required for the moving object. 

Torque Equation:

Calculate torque using the following equation:

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

Where:

• r = Distance between the pivot point and the point where the force is applied
• F = Magnitude of the applied force
• \(\theta\) = Angle formed between the distance vector \(r\) and the applied force \(F\). Often, this angle is 90° for maximum torque.

How To Calculate Torque?

This is the torque formula that lets you make calculations:

\(\ τ = \ rFsin(\theta)\)

Example:

Suppose you use a wrench to apply a force of 30 Newtons perpendicular to a lever arm. The lever arm is 0.8 meters long. Find the torque.

Solution:

Step 1: Determine the force acting on the object to produce rotation.

Force, \(F = 30 \, \text{N}\)

Step 2: Measure the distance \(r\) from the pivot to the point where the force is applied.

Distance, \(r = 0.8 \, \text{m}\)

Step 3: Choose the angle between the lever arm and the force. Here, the force is applied perpendicular to the lever arm.

Angle, \(\theta = 90^\circ\)

Step 4: Use the torque formula:

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

\(\tau = 0.8 \times 30 \times \sin(90^\circ)\)

\(\tau = 24 \times \sin(90^\circ)\)

\(\tau = 24 \, \text{N·m}\)

With the support of a torque calculator, you can effortlessly calculate torque and in the reverse, it can find out the amount of “force” as well as lever arm “r” if you know the value of torque. If you face any problem regarding the cross-product of two vectors, use the cross product calculator and verify your results. 

FAQ’s:

How Do You Convert Torque In lb to ft lb?

To convert inch-lbs to foot-lbs, divide the inch-lb number by 12.

How Much Torque Does a 1 HP Motor Have?

The 1800 RPM (Rotation Per Minute), 1HP motor generates 3 ft. lbs of torque at 1800 rotation per minute, and 1 HP motor generates 1.5 ft lbs.

What Is The Dimensional Formula For Torque?

The magnitude of torque is the product of the force applied and the length of the lever arm. First, recall the dimensional formula for force:

\[ \text{Force, } F = [M^1 L^1 T^{-2}] \]

For the lever arm (length), the dimensional formula is:

\[ \text{Length, } r = [L] \]

Therefore, the dimensional formula for torque (\(\tau\)) is:

\[ \tau = F \cdot r = [M^1 L^1 T^{-2}] \cdot [L] = [M^1 L^2 T^{-2}] \]

How Does Torque Relate To Horsepower?

The horsepower is the power of a vehicle. The Horsepower tells how quickly an engine can create torque to reach the desired speed.  Multiplying the torque (measured in foot-pounds) with the RPM will give you the horsepower of the engine.  Get the assistance of this horsepower calculator to effortlessly estimate how much power your vehicle is producing.