Torque on Shaft A to Accelerate Shaft B Calculator

Calculate Torque on Shaft A







Formula

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

\[ T_{AB} = G^2 \cdot I_B \cdot α_A \]

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.

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

Let's assume the following values:

Using the formula:

\[ T_{AB} = G^2 \cdot I_B \cdot α_A \]

Evaluating:

\[ T_{AB} = 3^2 \cdot 36 \cdot 25 \]

The Torque Applied on Shaft A to Accelerate Shaft B is 8100 Nm.

Torque Conversion Chart

Gear Ratio (G) Mass Moment of Inertia (IB) Angular Acceleration (αA) Torque Applied (TAB)
2 30 20 2,400.000000000000000
2 30 21 2,520.000000000000000
2 30 22 2,640.000000000000000
2 30 23 2,760.000000000000000
2 30 24 2,880.000000000000000
2 30 25 3,000.000000000000000
2 30 26 3,120.000000000000000
2 30 27 3,240.000000000000000
2 30 28 3,360.000000000000000
2 30 29 3,480.000000000000000
2 30 30 3,600.000000000000000
2 31 20 2,480.000000000000000
2 31 21 2,604.000000000000000
2 31 22 2,728.000000000000000
2 31 23 2,852.000000000000000
2 31 24 2,976.000000000000000
2 31 25 3,100.000000000000000
2 31 26 3,224.000000000000000
2 31 27 3,348.000000000000000
2 31 28 3,472.000000000000000
2 31 29 3,596.000000000000000
2 31 30 3,720.000000000000000
2 32 20 2,560.000000000000000
2 32 21 2,688.000000000000000
2 32 22 2,816.000000000000000
2 32 23 2,944.000000000000000
2 32 24 3,072.000000000000000
2 32 25 3,200.000000000000000
2 32 26 3,328.000000000000000
2 32 27 3,456.000000000000000
2 32 28 3,584.000000000000000
2 32 29 3,712.000000000000000
2 32 30 3,840.000000000000000
2 33 20 2,640.000000000000000
2 33 21 2,772.000000000000000
2 33 22 2,904.000000000000000
2 33 23 3,036.000000000000000
2 33 24 3,168.000000000000000
2 33 25 3,300.000000000000000
2 33 26 3,432.000000000000000
2 33 27 3,564.000000000000000
2 33 28 3,696.000000000000000
2 33 29 3,828.000000000000000
2 33 30 3,960.000000000000000
2 34 20 2,720.000000000000000
2 34 21 2,856.000000000000000
2 34 22 2,992.000000000000000
2 34 23 3,128.000000000000000
2 34 24 3,264.000000000000000
2 34 25 3,400.000000000000000
2 34 26 3,536.000000000000000
2 34 27 3,672.000000000000000
2 34 28 3,808.000000000000000
2 34 29 3,944.000000000000000
2 34 30 4,080.000000000000000
2 35 20 2,800.000000000000000
2 35 21 2,940.000000000000000
2 35 22 3,080.000000000000000
2 35 23 3,220.000000000000000
2 35 24 3,360.000000000000000
2 35 25 3,500.000000000000000
2 35 26 3,640.000000000000000
2 35 27 3,780.000000000000000
2 35 28 3,920.000000000000000
2 35 29 4,060.000000000000000
2 35 30 4,200.000000000000000
2 36 20 2,880.000000000000000
2 36 21 3,024.000000000000000
2 36 22 3,168.000000000000000
2 36 23 3,312.000000000000000
2 36 24 3,456.000000000000000
2 36 25 3,600.000000000000000
2 36 26 3,744.000000000000000
2 36 27 3,888.000000000000000
2 36 28 4,032.000000000000000
2 36 29 4,176.000000000000000
2 36 30 4,320.000000000000000
2 37 20 2,960.000000000000000
2 37 21 3,108.000000000000000
2 37 22 3,256.000000000000000
2 37 23 3,404.000000000000000
2 37 24 3,552.000000000000000
2 37 25 3,700.000000000000000
2 37 26 3,848.000000000000000
2 37 27 3,996.000000000000000
2 37 28 4,144.000000000000000
2 37 29 4,292.000000000000000
2 37 30 4,440.000000000000000
2 38 20 3,040.000000000000000
2 38 21 3,192.000000000000000
2 38 22 3,344.000000000000000
2 38 23 3,496.000000000000000
2 38 24 3,648.000000000000000
2 38 25 3,800.000000000000000
2 38 26 3,952.000000000000000
2 38 27 4,104.000000000000000
2 38 28 4,256.000000000000000
2 38 29 4,408.000000000000000
2 38 30 4,560.000000000000000
2 39 20 3,120.000000000000000
2 39 21 3,276.000000000000000
2 39 22 3,432.000000000000000
2 39 23 3,588.000000000000000
2 39 24 3,744.000000000000000
2 39 25 3,900.000000000000000
2 39 26 4,056.000000000000000
2 39 27 4,212.000000000000000
2 39 28 4,368.000000000000000
2 39 29 4,524.000000000000000
2 39 30 4,680.000000000000000
2 40 20 3,200.000000000000000
2 40 21 3,360.000000000000000
2 40 22 3,520.000000000000000
2 40 23 3,680.000000000000000
2 40 24 3,840.000000000000000
2 40 25 4,000.000000000000000
2 40 26 4,160.000000000000000
2 40 27 4,320.000000000000000
2 40 28 4,480.000000000000000
2 40 29 4,640.000000000000000
2 40 30 4,800.000000000000000
3 30 20 5,400.000000000000000
3 30 21 5,670.000000000000000
3 30 22 5,940.000000000000000
3 30 23 6,210.000000000000000
3 30 24 6,480.000000000000000
3 30 25 6,750.000000000000000
3 30 26 7,020.000000000000000
3 30 27 7,290.000000000000000
3 30 28 7,560.000000000000000
3 30 29 7,830.000000000000000
3 30 30 8,100.000000000000000
3 31 20 5,580.000000000000000
3 31 21 5,859.000000000000000
3 31 22 6,138.000000000000000
3 31 23 6,417.000000000000000
3 31 24 6,696.000000000000000
3 31 25 6,975.000000000000000
3 31 26 7,254.000000000000000
3 31 27 7,533.000000000000000
3 31 28 7,812.000000000000000
3 31 29 8,091.000000000000000
3 31 30 8,370.000000000000000
3 32 20 5,760.000000000000000
3 32 21 6,048.000000000000000
3 32 22 6,336.000000000000000
3 32 23 6,624.000000000000000
3 32 24 6,912.000000000000000
3 32 25 7,200.000000000000000
3 32 26 7,488.000000000000000
3 32 27 7,776.000000000000000
3 32 28 8,064.000000000000000
3 32 29 8,352.000000000000000
3 32 30 8,640.000000000000000
3 33 20 5,940.000000000000000
3 33 21 6,237.000000000000000
3 33 22 6,534.000000000000000
3 33 23 6,831.000000000000000
3 33 24 7,128.000000000000000
3 33 25 7,425.000000000000000
3 33 26 7,722.000000000000000
3 33 27 8,019.000000000000000
3 33 28 8,316.000000000000000
3 33 29 8,613.000000000000000
3 33 30 8,910.000000000000000
3 34 20 6,120.000000000000000
3 34 21 6,426.000000000000000
3 34 22 6,732.000000000000000
3 34 23 7,038.000000000000000
3 34 24 7,344.000000000000000
3 34 25 7,650.000000000000000
3 34 26 7,956.000000000000000
3 34 27 8,262.000000000000000
3 34 28 8,568.000000000000000
3 34 29 8,874.000000000000000
3 34 30 9,180.000000000000000
3 35 20 6,300.000000000000000
3 35 21 6,615.000000000000000
3 35 22 6,930.000000000000000
3 35 23 7,245.000000000000000
3 35 24 7,560.000000000000000
3 35 25 7,875.000000000000000
3 35 26 8,190.000000000000000
3 35 27 8,505.000000000000000
3 35 28 8,820.000000000000000
3 35 29 9,135.000000000000000
3 35 30 9,450.000000000000000
3 36 20 6,480.000000000000000
3 36 21 6,804.000000000000000
3 36 22 7,128.000000000000000
3 36 23 7,452.000000000000000
3 36 24 7,776.000000000000000
3 36 25 8,100.000000000000000
3 36 26 8,424.000000000000000
3 36 27 8,748.000000000000000
3 36 28 9,072.000000000000000
3 36 29 9,396.000000000000000
3 36 30 9,720.000000000000000
3 37 20 6,660.000000000000000
3 37 21 6,993.000000000000000
3 37 22 7,326.000000000000000
3 37 23 7,659.000000000000000
3 37 24 7,992.000000000000000
3 37 25 8,325.000000000000000
3 37 26 8,658.000000000000000
3 37 27 8,991.000000000000000
3 37 28 9,324.000000000000000
3 37 29 9,657.000000000000000
3 37 30 9,990.000000000000000
3 38 20 6,840.000000000000000
3 38 21 7,182.000000000000000
3 38 22 7,524.000000000000000
3 38 23 7,866.000000000000000
3 38 24 8,208.000000000000000
3 38 25 8,550.000000000000000
3 38 26 8,892.000000000000000
3 38 27 9,234.000000000000000
3 38 28 9,576.000000000000000
3 38 29 9,918.000000000000000
3 38 30 10,260.000000000000000
3 39 20 7,020.000000000000000
3 39 21 7,371.000000000000000
3 39 22 7,722.000000000000000
3 39 23 8,073.000000000000000
3 39 24 8,424.000000000000000
3 39 25 8,775.000000000000000
3 39 26 9,126.000000000000000
3 39 27 9,477.000000000000000
3 39 28 9,828.000000000000000
3 39 29 10,179.000000000000000
3 39 30 10,530.000000000000000
3 40 20 7,200.000000000000000
3 40 21 7,560.000000000000000
3 40 22 7,920.000000000000000
3 40 23 8,280.000000000000000
3 40 24 8,640.000000000000000
3 40 25 9,000.000000000000000
3 40 26 9,360.000000000000000
3 40 27 9,720.000000000000000
3 40 28 10,080.000000000000000
3 40 29 10,440.000000000000000
3 40 30 10,800.000000000000000
4 30 20 9,600.000000000000000
4 30 21 10,080.000000000000000
4 30 22 10,560.000000000000000
4 30 23 11,040.000000000000000
4 30 24 11,520.000000000000000
4 30 25 12,000.000000000000000
4 30 26 12,480.000000000000000
4 30 27 12,960.000000000000000
4 30 28 13,440.000000000000000
4 30 29 13,920.000000000000000
4 30 30 14,400.000000000000000
4 31 20 9,920.000000000000000
4 31 21 10,416.000000000000000
4 31 22 10,912.000000000000000
4 31 23 11,408.000000000000000
4 31 24 11,904.000000000000000
4 31 25 12,400.000000000000000
4 31 26 12,896.000000000000000
4 31 27 13,392.000000000000000
4 31 28 13,888.000000000000000
4 31 29 14,384.000000000000000
4 31 30 14,880.000000000000000
4 32 20 10,240.000000000000000
4 32 21 10,752.000000000000000
4 32 22 11,264.000000000000000
4 32 23 11,776.000000000000000
4 32 24 12,288.000000000000000
4 32 25 12,800.000000000000000
4 32 26 13,312.000000000000000
4 32 27 13,824.000000000000000
4 32 28 14,336.000000000000000
4 32 29 14,848.000000000000000
4 32 30 15,360.000000000000000
4 33 20 10,560.000000000000000
4 33 21 11,088.000000000000000
4 33 22 11,616.000000000000000
4 33 23 12,144.000000000000000
4 33 24 12,672.000000000000000
4 33 25 13,200.000000000000000
4 33 26 13,728.000000000000000
4 33 27 14,256.000000000000000
4 33 28 14,784.000000000000000
4 33 29 15,312.000000000000000
4 33 30 15,840.000000000000000
4 34 20 10,880.000000000000000
4 34 21 11,424.000000000000000
4 34 22 11,968.000000000000000
4 34 23 12,512.000000000000000
4 34 24 13,056.000000000000000
4 34 25 13,600.000000000000000
4 34 26 14,144.000000000000000
4 34 27 14,688.000000000000000
4 34 28 15,232.000000000000000
4 34 29 15,776.000000000000000
4 34 30 16,320.000000000000000
4 35 20 11,200.000000000000000
4 35 21 11,760.000000000000000
4 35 22 12,320.000000000000000
4 35 23 12,880.000000000000000
4 35 24 13,440.000000000000000
4 35 25 14,000.000000000000000
4 35 26 14,560.000000000000000
4 35 27 15,120.000000000000000
4 35 28 15,680.000000000000000
4 35 29 16,240.000000000000000
4 35 30 16,800.000000000000000
4 36 20 11,520.000000000000000
4 36 21 12,096.000000000000000
4 36 22 12,672.000000000000000
4 36 23 13,248.000000000000000
4 36 24 13,824.000000000000000
4 36 25 14,400.000000000000000
4 36 26 14,976.000000000000000
4 36 27 15,552.000000000000000
4 36 28 16,128.000000000000000
4 36 29 16,704.000000000000000
4 36 30 17,280.000000000000000
4 37 20 11,840.000000000000000
4 37 21 12,432.000000000000000
4 37 22 13,024.000000000000000
4 37 23 13,616.000000000000000
4 37 24 14,208.000000000000000
4 37 25 14,800.000000000000000
4 37 26 15,392.000000000000000
4 37 27 15,984.000000000000000
4 37 28 16,576.000000000000000
4 37 29 17,168.000000000000000
4 37 30 17,760.000000000000000
4 38 20 12,160.000000000000000
4 38 21 12,768.000000000000000
4 38 22 13,376.000000000000000
4 38 23 13,984.000000000000000
4 38 24 14,592.000000000000000
4 38 25 15,200.000000000000000
4 38 26 15,808.000000000000000
4 38 27 16,416.000000000000000
4 38 28 17,024.000000000000000
4 38 29 17,632.000000000000000
4 38 30 18,240.000000000000000
4 39 20 12,480.000000000000000
4 39 21 13,104.000000000000000
4 39 22 13,728.000000000000000
4 39 23 14,352.000000000000000
4 39 24 14,976.000000000000000
4 39 25 15,600.000000000000000
4 39 26 16,224.000000000000000
4 39 27 16,848.000000000000000
4 39 28 17,472.000000000000000
4 39 29 18,096.000000000000000
4 39 30 18,720.000000000000000
4 40 20 12,800.000000000000000
4 40 21 13,440.000000000000000
4 40 22 14,080.000000000000000
4 40 23 14,720.000000000000000
4 40 24 15,360.000000000000000
4 40 25 16,000.000000000000000
4 40 26 16,640.000000000000000
4 40 27 17,280.000000000000000
4 40 28 17,920.000000000000000
4 40 29 18,560.000000000000000
4 40 30 19,200.000000000000000
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