Second Gear Torque

The 2nd Gear Torque equation calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known.

INSTRUCTIONS: Choose units and enter the following:

• (τ) Torque of gear 1
• (T₁) Teeth in gear 1
• (T₂) Teeth in gear 2

Torque Gear 2: The calculator returns the torque in `N*M`.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the relationship between interlocked gears and their torque is: 

`tau_1 * T_1 = tau_2 * T_2`

The formula for the torque on the second gear is:

`tau_2=tau_1*T_1/T_2`

where: 

• `tau_2` is the torque on gear 2
• `tau_1` is the torque on gear 1
• `T_1` is the teeth on gear 1
• `T_2` is the teeth on gear 2

Simple Machine Calculators

• Lever Beam Length:  Computes the length of a lever (beam) on one side of a fulcrum needed to lift an object based on the objects weight and the length of the beam on the other side of the fulcrum.
• Leverage Lift Weight:  Computes the weight that can be lifted using a lever based on the downward force and the length of the lever on either side of the fulcrum.
• Fulcrum Position (x): Computes the position of the fulcrum needed in a lever to lift a weight (W) with a downward force (F) with a beam of length (L), where L = x + y.
• Belt Length:  Computes the length of a belt that goes around two pulleys of different diameters separated by a specific distance.two pulley system
• Belt Speed: Computes the speed a belt travels based on the diameter of the pulley and the RPMs.
• Pulley RPMs: Computes the RPMs of a pulley based on the speed of the belt and the diameter of the pulley.
• 2nd Pulley RPMs: Computes the RPMs of a second pulley in a two pulley system when the RPM and Diameter are known for one pulley and the diameter of the second pulley is also known.
• 2nd Pulley Diameter:- Computes the diameter of a second pulley in a two pulley system based on diameter and RPM of one pulley and the RPMs of the second.
• RPM of 4th pulley on three shafts: Computes the RPMs of a fourth pulley on a three shaft system when the RMPs of the first shaft is known and the four diameters.
• 2nd Gear RPM:  Computes the RPMs of a second gear when the RPM and number of teeth are known for the first gear, and the number of teeth are known for the second gear.
• Pulley RPMs: Computes pulley RPMs from belt speed and pulley diameter.
• Sum of Two Lengths: Computes the sum of two lengths (useful with lever calculations).
• Second Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known.
• Leadscrew Torque (lift): Computes the torque required to lift a load with a square thread power screw assembly.

Vehicle Calculators

• Approach (Departure) Angle: Computes the maximum angle of a ramp onto which a vehicle can climb without scraping.
• Degree to Percent Grade: Converts a grade to a degree angle.
• Camber angle - Wheel camber (tilt) calculation of angle
• Camber offset - Wheel camber (tilt) calculation of offset
• Breakover Angle: Compute maximum angle that a vehicle can drive over without the ground touching the vehicle's undercarriage.  
• Time to Overtake: Computes the time for one object to overtake another.
• Distance to Overtake: Computes distance traveled to overtake another.
• Speed to Overtake: Computes the average velocity to overtake another.
• Distance at Speed: Computes the distance traveled over a period of time at a constant velocity (speed).
• Speed from Skid Marks: Estimates the speed of a vehicle based on length of skid marks.
• Braking Distance: Estimates distance to stop a vehicle based on initial velocity and braking coefficient.
• Total Stopping Distance: Computes the distance to stop a vehicle based on the initial velocity, reaction time and a braking coefficient.
• Speed from the Braking Distance: Estimates the initial speed based on the distance to stop a vehicle and the a braking coefficient.
• Used Car Price Comparison: Estimates the better value between two vehicles based on their mileage, cost and expected lifespan (miles).
• Belt Length: Computes the length of a belt that goes around two pulleys based on the pulley diameters and the distance between the axles.
• Belt Speed: Computes the speed at which a linear length of belt travels around a pulley  based on the diameter of the pulley and the rotation rate.
• Pulley RPMs: Computes the RPMs of a pulley based on the belt speed and diameter of the pulley.
• 2nd Pulley RPMs: Computes the RPMs of a second pulley based on the the RPMs and Diameter of the first pulley and the diameter of the second pulley.
• 2nd Pulley Diameter: Computes the diameter of a second pulley based on the RPMs and diameter of the first pulley and the RPMs of the second pulley.
• RPM of 4th pulley on three shafts: Computes the RPMs (rotation rate) of a pulley when the RPM and Diameters are known for a series of pulleys on three axles.
• 2nd Gear RPM: Calculates the RPMs of a second gear when the RPMs and number of teeth are known for the first gear and the number of teeth of the second gear is known,
• 2nd Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known,