Torque on Shaft A to Accelerate Shaft B given Gear Efficiency Calculator

Calculate Torque Required









Formula

The formula to calculate Torque Applied on Shaft A to Accelerate Shaft B (TAB) is:

\[ T_{AB} = \frac{G \cdot I_B \cdot \alpha_A}{\eta} \]

Where:

Definition

Torque applied on shaft A to accelerate shaft B is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of the number of teeth on the gear to that on the pinion.

Mass Moment of Inertia of mass attached to shaft B is a quantity expressing a body's tendency to resist angular acceleration.

Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

Gear Efficiency is simply the ratio of output shaft power to the input shaft power.

How to calculate Torque Applied on Shaft A to Accelerate Shaft B

Let's assume the following values:

Using the formula:

\[ T_{AB} = \frac{G \cdot I_B \cdot \alpha_A}{\eta} \]

Evaluating:

\[ T_{AB} = \frac{3 \cdot 36 \cdot 25}{0.82} \]

The Torque Applied on Shaft A to Accelerate Shaft B is 3292.68292682927 N·m.

Torque Conversion Chart

Gear Ratio (G) Mass Moment of Inertia (IB) Angular Acceleration (αA) Gear Efficiency (η) Torque Required (TAB)
2 30 20 0.7 1,714.285714285714448
2 30 20 0.75 1,600.000000000000000
2 30 20 0.8 1,500.000000000000000
2 30 20 0.85 1,411.764705882352700
2 30 22 0.7 1,885.714285714285779
2 30 22 0.75 1,760.000000000000000
2 30 22 0.8 1,650.000000000000000
2 30 22 0.85 1,552.941176470588061
2 30 24 0.7 2,057.142857142857338
2 30 24 0.75 1,920.000000000000000
2 30 24 0.8 1,800.000000000000000
2 30 24 0.85 1,694.117647058823422
2 30 26 0.7 2,228.571428571428896
2 30 26 0.75 2,080.000000000000000
2 30 26 0.8 1,950.000000000000000
2 30 26 0.85 1,835.294117647058556
2 30 28 0.7 2,400.000000000000000
2 30 28 0.75 2,240.000000000000000
2 30 28 0.8 2,100.000000000000000
2 30 28 0.85 1,976.470588235293917
2 30 30 0.7 2,571.428571428571558
2 30 30 0.75 2,400.000000000000000
2 30 30 0.8 2,250.000000000000000
2 30 30 0.85 2,117.647058823529278
2 32 20 0.7 1,828.571428571428669
2 32 20 0.75 1,706.666666666666742
2 32 20 0.8 1,600.000000000000000
2 32 20 0.85 1,505.882352941176350
2 32 22 0.7 2,011.428571428571558
2 32 22 0.75 1,877.333333333333258
2 32 22 0.8 1,760.000000000000000
2 32 22 0.85 1,656.470588235293917
2 32 24 0.7 2,194.285714285714221
2 32 24 0.75 2,048.000000000000000
2 32 24 0.8 1,920.000000000000000
2 32 24 0.85 1,807.058823529411484
2 32 26 0.7 2,377.142857142857338
2 32 26 0.75 2,218.666666666666515
2 32 26 0.8 2,080.000000000000000
2 32 26 0.85 1,957.647058823529278
2 32 28 0.7 2,560.000000000000000
2 32 28 0.75 2,389.333333333333485
2 32 28 0.8 2,240.000000000000000
2 32 28 0.85 2,108.235294117646845
2 32 30 0.7 2,742.857142857143117
2 32 30 0.75 2,560.000000000000000
2 32 30 0.8 2,400.000000000000000
2 32 30 0.85 2,258.823529411764412
2 34 20 0.7 1,942.857142857142890
2 34 20 0.75 1,813.333333333333258
2 34 20 0.8 1,700.000000000000000
2 34 20 0.85 1,599.999999999999773
2 34 22 0.7 2,137.142857142857338
2 34 22 0.75 1,994.666666666666742
2 34 22 0.8 1,870.000000000000000
2 34 22 0.85 1,759.999999999999773
2 34 24 0.7 2,331.428571428571558
2 34 24 0.75 2,176.000000000000000
2 34 24 0.8 2,040.000000000000000
2 34 24 0.85 1,919.999999999999773
2 34 26 0.7 2,525.714285714285779
2 34 26 0.75 2,357.333333333333485
2 34 26 0.8 2,210.000000000000000
2 34 26 0.85 2,080.000000000000000
2 34 28 0.7 2,720.000000000000000
2 34 28 0.75 2,538.666666666666515
2 34 28 0.8 2,380.000000000000000
2 34 28 0.85 2,239.999999999999545
2 34 30 0.7 2,914.285714285714675
2 34 30 0.75 2,720.000000000000000
2 34 30 0.8 2,550.000000000000000
2 34 30 0.85 2,399.999999999999545
2 36 20 0.7 2,057.142857142857338
2 36 20 0.75 1,920.000000000000000
2 36 20 0.8 1,800.000000000000000
2 36 20 0.85 1,694.117647058823422
2 36 22 0.7 2,262.857142857143117
2 36 22 0.75 2,112.000000000000000
2 36 22 0.8 1,980.000000000000000
2 36 22 0.85 1,863.529411764705628
2 36 24 0.7 2,468.571428571428896
2 36 24 0.75 2,304.000000000000000
2 36 24 0.8 2,160.000000000000000
2 36 24 0.85 2,032.941176470588061
2 36 26 0.7 2,674.285714285714675
2 36 26 0.75 2,496.000000000000000
2 36 26 0.8 2,340.000000000000000
2 36 26 0.85 2,202.352941176470267
2 36 28 0.7 2,880.000000000000000
2 36 28 0.75 2,688.000000000000000
2 36 28 0.8 2,520.000000000000000
2 36 28 0.85 2,371.764705882352700
2 36 30 0.7 3,085.714285714285779
2 36 30 0.75 2,880.000000000000000
2 36 30 0.8 2,700.000000000000000
2 36 30 0.85 2,541.176470588235134
2 38 20 0.7 2,171.428571428571558
2 38 20 0.75 2,026.666666666666742
2 38 20 0.8 1,900.000000000000000
2 38 20 0.85 1,788.235294117646845
2 38 22 0.7 2,388.571428571428896
2 38 22 0.75 2,229.333333333333485
2 38 22 0.8 2,090.000000000000000
2 38 22 0.85 1,967.058823529411484
2 38 24 0.7 2,605.714285714285779
2 38 24 0.75 2,432.000000000000000
2 38 24 0.8 2,280.000000000000000
2 38 24 0.85 2,145.882352941176123
2 38 26 0.7 2,822.857142857143117
2 38 26 0.75 2,634.666666666666515
2 38 26 0.8 2,470.000000000000000
2 38 26 0.85 2,324.705882352940989
2 38 28 0.7 3,040.000000000000000
2 38 28 0.75 2,837.333333333333485
2 38 28 0.8 2,660.000000000000000
2 38 28 0.85 2,503.529411764705401
2 38 30 0.7 3,257.142857142857338
2 38 30 0.75 3,040.000000000000000
2 38 30 0.8 2,850.000000000000000
2 38 30 0.85 2,682.352941176470267
2 40 20 0.7 2,285.714285714285779
2 40 20 0.75 2,133.333333333333485
2 40 20 0.8 2,000.000000000000000
2 40 20 0.85 1,882.352941176470495
2 40 22 0.7 2,514.285714285714221
2 40 22 0.75 2,346.666666666666515
2 40 22 0.8 2,200.000000000000000
2 40 22 0.85 2,070.588235294117567
2 40 24 0.7 2,742.857142857143117
2 40 24 0.75 2,560.000000000000000
2 40 24 0.8 2,400.000000000000000
2 40 24 0.85 2,258.823529411764412
2 40 26 0.7 2,971.428571428571558
2 40 26 0.75 2,773.333333333333485
2 40 26 0.8 2,600.000000000000000
2 40 26 0.85 2,447.058823529411711
2 40 28 0.7 3,200.000000000000000
2 40 28 0.75 2,986.666666666666515
2 40 28 0.8 2,800.000000000000000
2 40 28 0.85 2,635.294117647058556
2 40 30 0.7 3,428.571428571428896
2 40 30 0.75 3,200.000000000000000
2 40 30 0.8 3,000.000000000000000
2 40 30 0.85 2,823.529411764705401
2.5 30 20 0.7 2,142.857142857143117
2.5 30 20 0.75 2,000.000000000000000
2.5 30 20 0.8 1,875.000000000000000
2.5 30 20 0.85 1,764.705882352940989
2.5 30 22 0.7 2,357.142857142857338
2.5 30 22 0.75 2,200.000000000000000
2.5 30 22 0.8 2,062.500000000000000
2.5 30 22 0.85 1,941.176470588235134
2.5 30 24 0.7 2,571.428571428571558
2.5 30 24 0.75 2,400.000000000000000
2.5 30 24 0.8 2,250.000000000000000
2.5 30 24 0.85 2,117.647058823529278
2.5 30 26 0.7 2,785.714285714285779
2.5 30 26 0.75 2,600.000000000000000
2.5 30 26 0.8 2,437.500000000000000
2.5 30 26 0.85 2,294.117647058823422
2.5 30 28 0.7 3,000.000000000000000
2.5 30 28 0.75 2,800.000000000000000
2.5 30 28 0.8 2,625.000000000000000
2.5 30 28 0.85 2,470.588235294117567
2.5 30 30 0.7 3,214.285714285714675
2.5 30 30 0.75 3,000.000000000000000
2.5 30 30 0.8 2,812.500000000000000
2.5 30 30 0.85 2,647.058823529411711
2.5 32 20 0.7 2,285.714285714285779
2.5 32 20 0.75 2,133.333333333333485
2.5 32 20 0.8 2,000.000000000000000
2.5 32 20 0.85 1,882.352941176470495
2.5 32 22 0.7 2,514.285714285714221
2.5 32 22 0.75 2,346.666666666666515
2.5 32 22 0.8 2,200.000000000000000
2.5 32 22 0.85 2,070.588235294117567
2.5 32 24 0.7 2,742.857142857143117
2.5 32 24 0.75 2,560.000000000000000
2.5 32 24 0.8 2,400.000000000000000
2.5 32 24 0.85 2,258.823529411764412
2.5 32 26 0.7 2,971.428571428571558
2.5 32 26 0.75 2,773.333333333333485
2.5 32 26 0.8 2,600.000000000000000
2.5 32 26 0.85 2,447.058823529411711
2.5 32 28 0.7 3,200.000000000000000
2.5 32 28 0.75 2,986.666666666666515
2.5 32 28 0.8 2,800.000000000000000
2.5 32 28 0.85 2,635.294117647058556
2.5 32 30 0.7 3,428.571428571428896
2.5 32 30 0.75 3,200.000000000000000
2.5 32 30 0.8 3,000.000000000000000
2.5 32 30 0.85 2,823.529411764705401
2.5 34 20 0.7 2,428.571428571428896
2.5 34 20 0.75 2,266.666666666666515
2.5 34 20 0.8 2,125.000000000000000
2.5 34 20 0.85 1,999.999999999999773
2.5 34 22 0.7 2,671.428571428571558
2.5 34 22 0.75 2,493.333333333333485
2.5 34 22 0.8 2,337.500000000000000
2.5 34 22 0.85 2,199.999999999999545
2.5 34 24 0.7 2,914.285714285714675
2.5 34 24 0.75 2,720.000000000000000
2.5 34 24 0.8 2,550.000000000000000
2.5 34 24 0.85 2,399.999999999999545
2.5 34 26 0.7 3,157.142857142857338
2.5 34 26 0.75 2,946.666666666666515
2.5 34 26 0.8 2,762.500000000000000
2.5 34 26 0.85 2,599.999999999999545
2.5 34 28 0.7 3,400.000000000000000
2.5 34 28 0.75 3,173.333333333333485
2.5 34 28 0.8 2,975.000000000000000
2.5 34 28 0.85 2,799.999999999999545
2.5 34 30 0.7 3,642.857142857143117
2.5 34 30 0.75 3,400.000000000000000
2.5 34 30 0.8 3,187.500000000000000
2.5 34 30 0.85 2,999.999999999999545
2.5 36 20 0.7 2,571.428571428571558
2.5 36 20 0.75 2,400.000000000000000
2.5 36 20 0.8 2,250.000000000000000
2.5 36 20 0.85 2,117.647058823529278
2.5 36 22 0.7 2,828.571428571428896
2.5 36 22 0.75 2,640.000000000000000
2.5 36 22 0.8 2,475.000000000000000
2.5 36 22 0.85 2,329.411764705881978
2.5 36 24 0.7 3,085.714285714285779
2.5 36 24 0.75 2,880.000000000000000
2.5 36 24 0.8 2,700.000000000000000
2.5 36 24 0.85 2,541.176470588235134
2.5 36 26 0.7 3,342.857142857143117
2.5 36 26 0.75 3,120.000000000000000
2.5 36 26 0.8 2,925.000000000000000
2.5 36 26 0.85 2,752.941176470587834
2.5 36 28 0.7 3,600.000000000000455
2.5 36 28 0.75 3,360.000000000000000
2.5 36 28 0.8 3,150.000000000000000
2.5 36 28 0.85 2,964.705882352940989
2.5 36 30 0.7 3,857.142857142857338
2.5 36 30 0.75 3,600.000000000000000
2.5 36 30 0.8 3,375.000000000000000
2.5 36 30 0.85 3,176.470588235293690
2.5 38 20 0.7 2,714.285714285714675
2.5 38 20 0.75 2,533.333333333333485
2.5 38 20 0.8 2,375.000000000000000
2.5 38 20 0.85 2,235.294117647058556
2.5 38 22 0.7 2,985.714285714285779
2.5 38 22 0.75 2,786.666666666666515
2.5 38 22 0.8 2,612.500000000000000
2.5 38 22 0.85 2,458.823529411764412
2.5 38 24 0.7 3,257.142857142857338
2.5 38 24 0.75 3,040.000000000000000
2.5 38 24 0.8 2,850.000000000000000
2.5 38 24 0.85 2,682.352941176470267
2.5 38 26 0.7 3,528.571428571428896
2.5 38 26 0.75 3,293.333333333333485
2.5 38 26 0.8 3,087.500000000000000
2.5 38 26 0.85 2,905.882352941176123
2.5 38 28 0.7 3,800.000000000000455
2.5 38 28 0.75 3,546.666666666666515
2.5 38 28 0.8 3,325.000000000000000
2.5 38 28 0.85 3,129.411764705881978
2.5 38 30 0.7 4,071.428571428571558
2.5 38 30 0.75 3,800.000000000000000
2.5 38 30 0.8 3,562.500000000000000
2.5 38 30 0.85 3,352.941176470587834
2.5 40 20 0.7 2,857.142857142857338
2.5 40 20 0.75 2,666.666666666666515
2.5 40 20 0.8 2,500.000000000000000
2.5 40 20 0.85 2,352.941176470587834
2.5 40 22 0.7 3,142.857142857143117
2.5 40 22 0.75 2,933.333333333333485
2.5 40 22 0.8 2,750.000000000000000
2.5 40 22 0.85 2,588.235294117646845
2.5 40 24 0.7 3,428.571428571428896
2.5 40 24 0.75 3,200.000000000000000
2.5 40 24 0.8 3,000.000000000000000
2.5 40 24 0.85 2,823.529411764705401
2.5 40 26 0.7 3,714.285714285714675
2.5 40 26 0.75 3,466.666666666666515
2.5 40 26 0.8 3,250.000000000000000
2.5 40 26 0.85 3,058.823529411764412
2.5 40 28 0.7 4,000.000000000000455
2.5 40 28 0.75 3,733.333333333333485
2.5 40 28 0.8 3,500.000000000000000
2.5 40 28 0.85 3,294.117647058822968
2.5 40 30 0.7 4,285.714285714286234
2.5 40 30 0.75 4,000.000000000000000
2.5 40 30 0.8 3,750.000000000000000
2.5 40 30 0.85 3,529.411764705881978
3 30 20 0.7 2,571.428571428571558
3 30 20 0.75 2,400.000000000000000
3 30 20 0.8 2,250.000000000000000
3 30 20 0.85 2,117.647058823529278
3 30 22 0.7 2,828.571428571428896
3 30 22 0.75 2,640.000000000000000
3 30 22 0.8 2,475.000000000000000
3 30 22 0.85 2,329.411764705881978
3 30 24 0.7 3,085.714285714285779
3 30 24 0.75 2,880.000000000000000
3 30 24 0.8 2,700.000000000000000
3 30 24 0.85 2,541.176470588235134
3 30 26 0.7 3,342.857142857143117
3 30 26 0.75 3,120.000000000000000
3 30 26 0.8 2,925.000000000000000
3 30 26 0.85 2,752.941176470587834
3 30 28 0.7 3,600.000000000000455
3 30 28 0.75 3,360.000000000000000
3 30 28 0.8 3,150.000000000000000
3 30 28 0.85 2,964.705882352940989
3 30 30 0.7 3,857.142857142857338
3 30 30 0.75 3,600.000000000000000
3 30 30 0.8 3,375.000000000000000
3 30 30 0.85 3,176.470588235293690
3 32 20 0.7 2,742.857142857143117
3 32 20 0.75 2,560.000000000000000
3 32 20 0.8 2,400.000000000000000
3 32 20 0.85 2,258.823529411764412
3 32 22 0.7 3,017.142857142857338
3 32 22 0.75 2,816.000000000000000
3 32 22 0.8 2,640.000000000000000
3 32 22 0.85 2,484.705882352940989
3 32 24 0.7 3,291.428571428571558
3 32 24 0.75 3,072.000000000000000
3 32 24 0.8 2,880.000000000000000
3 32 24 0.85 2,710.588235294117567
3 32 26 0.7 3,565.714285714285779
3 32 26 0.75 3,328.000000000000000
3 32 26 0.8 3,120.000000000000000
3 32 26 0.85 2,936.470588235293690
3 32 28 0.7 3,840.000000000000455
3 32 28 0.75 3,584.000000000000000
3 32 28 0.8 3,360.000000000000000
3 32 28 0.85 3,162.352941176470267
3 32 30 0.7 4,114.285714285714675
3 32 30 0.75 3,840.000000000000000
3 32 30 0.8 3,600.000000000000000
3 32 30 0.85 3,388.235294117646845
3 34 20 0.7 2,914.285714285714675
3 34 20 0.75 2,720.000000000000000
3 34 20 0.8 2,550.000000000000000
3 34 20 0.85 2,399.999999999999545
3 34 22 0.7 3,205.714285714285779
3 34 22 0.75 2,992.000000000000000
3 34 22 0.8 2,805.000000000000000
3 34 22 0.85 2,639.999999999999545
3 34 24 0.7 3,497.142857142857338
3 34 24 0.75 3,264.000000000000000
3 34 24 0.8 3,060.000000000000000
3 34 24 0.85 2,879.999999999999545
3 34 26 0.7 3,788.571428571428896
3 34 26 0.75 3,536.000000000000000
3 34 26 0.8 3,315.000000000000000
3 34 26 0.85 3,119.999999999999545
3 34 28 0.7 4,080.000000000000455
3 34 28 0.75 3,808.000000000000000
3 34 28 0.8 3,570.000000000000000
3 34 28 0.85 3,359.999999999999545
3 34 30 0.7 4,371.428571428571558
3 34 30 0.75 4,080.000000000000000
3 34 30 0.8 3,825.000000000000000
3 34 30 0.85 3,599.999999999999545
3 36 20 0.7 3,085.714285714285779
3 36 20 0.75 2,880.000000000000000
3 36 20 0.8 2,700.000000000000000
3 36 20 0.85 2,541.176470588235134
3 36 22 0.7 3,394.285714285714675
3 36 22 0.75 3,168.000000000000000
3 36 22 0.8 2,970.000000000000000
3 36 22 0.85 2,795.294117647058556
3 36 24 0.7 3,702.857142857143117
3 36 24 0.75 3,456.000000000000000
3 36 24 0.8 3,240.000000000000000
3 36 24 0.85 3,049.411764705881978
3 36 26 0.7 4,011.428571428571558
3 36 26 0.75 3,744.000000000000000
3 36 26 0.8 3,510.000000000000000
3 36 26 0.85 3,303.529411764705401
3 36 28 0.7 4,320.000000000000000
3 36 28 0.75 4,032.000000000000000
3 36 28 0.8 3,780.000000000000000
3 36 28 0.85 3,557.647058823528823
3 36 30 0.7 4,628.571428571428442
3 36 30 0.75 4,320.000000000000000
3 36 30 0.8 4,050.000000000000000
3 36 30 0.85 3,811.764705882352700
3 38 20 0.7 3,257.142857142857338
3 38 20 0.75 3,040.000000000000000
3 38 20 0.8 2,850.000000000000000
3 38 20 0.85 2,682.352941176470267
3 38 22 0.7 3,582.857142857143117
3 38 22 0.75 3,344.000000000000000
3 38 22 0.8 3,135.000000000000000
3 38 22 0.85 2,950.588235294117112
3 38 24 0.7 3,908.571428571428896
3 38 24 0.75 3,648.000000000000000
3 38 24 0.8 3,420.000000000000000
3 38 24 0.85 3,218.823529411764412
3 38 26 0.7 4,234.285714285714675
3 38 26 0.75 3,952.000000000000000
3 38 26 0.8 3,705.000000000000000
3 38 26 0.85 3,487.058823529411256
3 38 28 0.7 4,560.000000000000000
3 38 28 0.75 4,256.000000000000000
3 38 28 0.8 3,990.000000000000000
3 38 28 0.85 3,755.294117647058556
3 38 30 0.7 4,885.714285714286234
3 38 30 0.75 4,560.000000000000000
3 38 30 0.8 4,275.000000000000000
3 38 30 0.85 4,023.529411764705401
3 40 20 0.7 3,428.571428571428896
3 40 20 0.75 3,200.000000000000000
3 40 20 0.8 3,000.000000000000000
3 40 20 0.85 2,823.529411764705401
3 40 22 0.7 3,771.428571428571558
3 40 22 0.75 3,520.000000000000000
3 40 22 0.8 3,300.000000000000000
3 40 22 0.85 3,105.882352941176123
3 40 24 0.7 4,114.285714285714675
3 40 24 0.75 3,840.000000000000000
3 40 24 0.8 3,600.000000000000000
3 40 24 0.85 3,388.235294117646845
3 40 26 0.7 4,457.142857142857792
3 40 26 0.75 4,160.000000000000000
3 40 26 0.8 3,900.000000000000000
3 40 26 0.85 3,670.588235294117112
3 40 28 0.7 4,800.000000000000000
3 40 28 0.75 4,480.000000000000000
3 40 28 0.8 4,200.000000000000000
3 40 28 0.85 3,952.941176470587834
3 40 30 0.7 5,142.857142857143117
3 40 30 0.75 4,800.000000000000000
3 40 30 0.8 4,500.000000000000000
3 40 30 0.85 4,235.294117647058556
3.5 30 20 0.7 3,000.000000000000000
3.5 30 20 0.75 2,800.000000000000000
3.5 30 20 0.8 2,625.000000000000000
3.5 30 20 0.85 2,470.588235294117567
3.5 30 22 0.7 3,300.000000000000000
3.5 30 22 0.75 3,080.000000000000000
3.5 30 22 0.8 2,887.500000000000000
3.5 30 22 0.85 2,717.647058823529278
3.5 30 24 0.7 3,600.000000000000455
3.5 30 24 0.75 3,360.000000000000000
3.5 30 24 0.8 3,150.000000000000000
3.5 30 24 0.85 2,964.705882352940989
3.5 30 26 0.7 3,900.000000000000455
3.5 30 26 0.75 3,640.000000000000000
3.5 30 26 0.8 3,412.500000000000000
3.5 30 26 0.85 3,211.764705882352700
3.5 30 28 0.7 4,200.000000000000000
3.5 30 28 0.75 3,920.000000000000000
3.5 30 28 0.8 3,675.000000000000000
3.5 30 28 0.85 3,458.823529411764412
3.5 30 30 0.7 4,500.000000000000000
3.5 30 30 0.75 4,200.000000000000000
3.5 30 30 0.8 3,937.500000000000000
3.5 30 30 0.85 3,705.882352941176123
3.5 32 20 0.7 3,200.000000000000000
3.5 32 20 0.75 2,986.666666666666515
3.5 32 20 0.8 2,800.000000000000000
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