Impulsive Torque Calculator

Calculate Impulsive Torque









Formula

The formula to calculate Impulsive Torque (Timpulsive) is:

\[ T_{impulsive} = \frac{I \cdot (ω_1 - ω)}{t} \]

Where:

Definition

Impulsive Torque is a torque that acts for a short duration of time on an object. It is similar to an impulsive force but applied rotationally.

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Final Angular Velocity is the velocity after covering the required angular displacement in time \(t\).

Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e., how fast the angular position or orientation of an object changes with time.

Time Taken to Travel is the total time taken by an object to reach its destination.

How to calculate Impulsive Torque given Moment of Inertia, Final Angular Velocity, Angular Velocity, and Time

Let's assume the following values:

Using the formula:

\[ T_{impulsive} = \frac{I \cdot (ω_1 - ω)}{t} \]

Evaluating:

\[ T_{impulsive} = \frac{1.125 \cdot (11 - 11.2)}{5} \]

The Impulsive Torque is -0.0449999999999998.

Impulsive Torque Conversion Chart

Moment of Inertia (I) Final Angular Velocity (ω1) Angular Velocity (ω) Time Taken to Travel (t) Impulsive Torque (Timpulsive)
1 10 10 4 0.000000000000000
1 10 10 4.5 0.000000000000000
1 10 10 5 0.000000000000000
1 10 10 5.5 0.000000000000000
1 10 10 6 0.000000000000000
1 10 10.5 4 -0.125000000000000
1 10 10.5 4.5 -0.111111111111111
1 10 10.5 5 -0.100000000000000
1 10 10.5 5.5 -0.090909090909091
1 10 10.5 6 -0.083333333333333
1 10 11 4 -0.250000000000000
1 10 11 4.5 -0.222222222222222
1 10 11 5 -0.200000000000000
1 10 11 5.5 -0.181818181818182
1 10 11 6 -0.166666666666667
1 10 11.5 4 -0.375000000000000
1 10 11.5 4.5 -0.333333333333333
1 10 11.5 5 -0.300000000000000
1 10 11.5 5.5 -0.272727272727273
1 10 11.5 6 -0.250000000000000
1 10 12 4 -0.500000000000000
1 10 12 4.5 -0.444444444444444
1 10 12 5 -0.400000000000000
1 10 12 5.5 -0.363636363636364
1 10 12 6 -0.333333333333333
1 10.5 10 4 0.125000000000000
1 10.5 10 4.5 0.111111111111111
1 10.5 10 5 0.100000000000000
1 10.5 10 5.5 0.090909090909091
1 10.5 10 6 0.083333333333333
1 10.5 10.5 4 0.000000000000000
1 10.5 10.5 4.5 0.000000000000000
1 10.5 10.5 5 0.000000000000000
1 10.5 10.5 5.5 0.000000000000000
1 10.5 10.5 6 0.000000000000000
1 10.5 11 4 -0.125000000000000
1 10.5 11 4.5 -0.111111111111111
1 10.5 11 5 -0.100000000000000
1 10.5 11 5.5 -0.090909090909091
1 10.5 11 6 -0.083333333333333
1 10.5 11.5 4 -0.250000000000000
1 10.5 11.5 4.5 -0.222222222222222
1 10.5 11.5 5 -0.200000000000000
1 10.5 11.5 5.5 -0.181818181818182
1 10.5 11.5 6 -0.166666666666667
1 10.5 12 4 -0.375000000000000
1 10.5 12 4.5 -0.333333333333333
1 10.5 12 5 -0.300000000000000
1 10.5 12 5.5 -0.272727272727273
1 10.5 12 6 -0.250000000000000
1 11 10 4 0.250000000000000
1 11 10 4.5 0.222222222222222
1 11 10 5 0.200000000000000
1 11 10 5.5 0.181818181818182
1 11 10 6 0.166666666666667
1 11 10.5 4 0.125000000000000
1 11 10.5 4.5 0.111111111111111
1 11 10.5 5 0.100000000000000
1 11 10.5 5.5 0.090909090909091
1 11 10.5 6 0.083333333333333
1 11 11 4 0.000000000000000
1 11 11 4.5 0.000000000000000
1 11 11 5 0.000000000000000
1 11 11 5.5 0.000000000000000
1 11 11 6 0.000000000000000
1 11 11.5 4 -0.125000000000000
1 11 11.5 4.5 -0.111111111111111
1 11 11.5 5 -0.100000000000000
1 11 11.5 5.5 -0.090909090909091
1 11 11.5 6 -0.083333333333333
1 11 12 4 -0.250000000000000
1 11 12 4.5 -0.222222222222222
1 11 12 5 -0.200000000000000
1 11 12 5.5 -0.181818181818182
1 11 12 6 -0.166666666666667
1 11.5 10 4 0.375000000000000
1 11.5 10 4.5 0.333333333333333
1 11.5 10 5 0.300000000000000
1 11.5 10 5.5 0.272727272727273
1 11.5 10 6 0.250000000000000
1 11.5 10.5 4 0.250000000000000
1 11.5 10.5 4.5 0.222222222222222
1 11.5 10.5 5 0.200000000000000
1 11.5 10.5 5.5 0.181818181818182
1 11.5 10.5 6 0.166666666666667
1 11.5 11 4 0.125000000000000
1 11.5 11 4.5 0.111111111111111
1 11.5 11 5 0.100000000000000
1 11.5 11 5.5 0.090909090909091
1 11.5 11 6 0.083333333333333
1 11.5 11.5 4 0.000000000000000
1 11.5 11.5 4.5 0.000000000000000
1 11.5 11.5 5 0.000000000000000
1 11.5 11.5 5.5 0.000000000000000
1 11.5 11.5 6 0.000000000000000
1 11.5 12 4 -0.125000000000000
1 11.5 12 4.5 -0.111111111111111
1 11.5 12 5 -0.100000000000000
1 11.5 12 5.5 -0.090909090909091
1 11.5 12 6 -0.083333333333333
1 12 10 4 0.500000000000000
1 12 10 4.5 0.444444444444444
1 12 10 5 0.400000000000000
1 12 10 5.5 0.363636363636364
1 12 10 6 0.333333333333333
1 12 10.5 4 0.375000000000000
1 12 10.5 4.5 0.333333333333333
1 12 10.5 5 0.300000000000000
1 12 10.5 5.5 0.272727272727273
1 12 10.5 6 0.250000000000000
1 12 11 4 0.250000000000000
1 12 11 4.5 0.222222222222222
1 12 11 5 0.200000000000000
1 12 11 5.5 0.181818181818182
1 12 11 6 0.166666666666667
1 12 11.5 4 0.125000000000000
1 12 11.5 4.5 0.111111111111111
1 12 11.5 5 0.100000000000000
1 12 11.5 5.5 0.090909090909091
1 12 11.5 6 0.083333333333333
1 12 12 4 0.000000000000000
1 12 12 4.5 0.000000000000000
1 12 12 5 0.000000000000000
1 12 12 5.5 0.000000000000000
1 12 12 6 0.000000000000000
1.1 10 10 4 0.000000000000000
1.1 10 10 4.5 0.000000000000000
1.1 10 10 5 0.000000000000000
1.1 10 10 5.5 0.000000000000000
1.1 10 10 6 0.000000000000000
1.1 10 10.5 4 -0.137500000000000
1.1 10 10.5 4.5 -0.122222222222222
1.1 10 10.5 5 -0.110000000000000
1.1 10 10.5 5.5 -0.100000000000000
1.1 10 10.5 6 -0.091666666666667
1.1 10 11 4 -0.275000000000000
1.1 10 11 4.5 -0.244444444444444
1.1 10 11 5 -0.220000000000000
1.1 10 11 5.5 -0.200000000000000
1.1 10 11 6 -0.183333333333333
1.1 10 11.5 4 -0.412500000000000
1.1 10 11.5 4.5 -0.366666666666667
1.1 10 11.5 5 -0.330000000000000
1.1 10 11.5 5.5 -0.300000000000000
1.1 10 11.5 6 -0.275000000000000
1.1 10 12 4 -0.550000000000000
1.1 10 12 4.5 -0.488888888888889
1.1 10 12 5 -0.440000000000000
1.1 10 12 5.5 -0.400000000000000
1.1 10 12 6 -0.366666666666667
1.1 10.5 10 4 0.137500000000000
1.1 10.5 10 4.5 0.122222222222222
1.1 10.5 10 5 0.110000000000000
1.1 10.5 10 5.5 0.100000000000000
1.1 10.5 10 6 0.091666666666667
1.1 10.5 10.5 4 0.000000000000000
1.1 10.5 10.5 4.5 0.000000000000000
1.1 10.5 10.5 5 0.000000000000000
1.1 10.5 10.5 5.5 0.000000000000000
1.1 10.5 10.5 6 0.000000000000000
1.1 10.5 11 4 -0.137500000000000
1.1 10.5 11 4.5 -0.122222222222222
1.1 10.5 11 5 -0.110000000000000
1.1 10.5 11 5.5 -0.100000000000000
1.1 10.5 11 6 -0.091666666666667
1.1 10.5 11.5 4 -0.275000000000000
1.1 10.5 11.5 4.5 -0.244444444444444
1.1 10.5 11.5 5 -0.220000000000000
1.1 10.5 11.5 5.5 -0.200000000000000
1.1 10.5 11.5 6 -0.183333333333333
1.1 10.5 12 4 -0.412500000000000
1.1 10.5 12 4.5 -0.366666666666667
1.1 10.5 12 5 -0.330000000000000
1.1 10.5 12 5.5 -0.300000000000000
1.1 10.5 12 6 -0.275000000000000
1.1 11 10 4 0.275000000000000
1.1 11 10 4.5 0.244444444444444
1.1 11 10 5 0.220000000000000
1.1 11 10 5.5 0.200000000000000
1.1 11 10 6 0.183333333333333
1.1 11 10.5 4 0.137500000000000
1.1 11 10.5 4.5 0.122222222222222
1.1 11 10.5 5 0.110000000000000
1.1 11 10.5 5.5 0.100000000000000
1.1 11 10.5 6 0.091666666666667
1.1 11 11 4 0.000000000000000
1.1 11 11 4.5 0.000000000000000
1.1 11 11 5 0.000000000000000
1.1 11 11 5.5 0.000000000000000
1.1 11 11 6 0.000000000000000
1.1 11 11.5 4 -0.137500000000000
1.1 11 11.5 4.5 -0.122222222222222
1.1 11 11.5 5 -0.110000000000000
1.1 11 11.5 5.5 -0.100000000000000
1.1 11 11.5 6 -0.091666666666667
1.1 11 12 4 -0.275000000000000
1.1 11 12 4.5 -0.244444444444444
1.1 11 12 5 -0.220000000000000
1.1 11 12 5.5 -0.200000000000000
1.1 11 12 6 -0.183333333333333
1.1 11.5 10 4 0.412500000000000
1.1 11.5 10 4.5 0.366666666666667
1.1 11.5 10 5 0.330000000000000
1.1 11.5 10 5.5 0.300000000000000
1.1 11.5 10 6 0.275000000000000
1.1 11.5 10.5 4 0.275000000000000
1.1 11.5 10.5 4.5 0.244444444444444
1.1 11.5 10.5 5 0.220000000000000
1.1 11.5 10.5 5.5 0.200000000000000
1.1 11.5 10.5 6 0.183333333333333
1.1 11.5 11 4 0.137500000000000
1.1 11.5 11 4.5 0.122222222222222
1.1 11.5 11 5 0.110000000000000
1.1 11.5 11 5.5 0.100000000000000
1.1 11.5 11 6 0.091666666666667
1.1 11.5 11.5 4 0.000000000000000
1.1 11.5 11.5 4.5 0.000000000000000
1.1 11.5 11.5 5 0.000000000000000
1.1 11.5 11.5 5.5 0.000000000000000
1.1 11.5 11.5 6 0.000000000000000
1.1 11.5 12 4 -0.137500000000000
1.1 11.5 12 4.5 -0.122222222222222
1.1 11.5 12 5 -0.110000000000000
1.1 11.5 12 5.5 -0.100000000000000
1.1 11.5 12 6 -0.091666666666667
1.1 12 10 4 0.550000000000000
1.1 12 10 4.5 0.488888888888889
1.1 12 10 5 0.440000000000000
1.1 12 10 5.5 0.400000000000000
1.1 12 10 6 0.366666666666667
1.1 12 10.5 4 0.412500000000000
1.1 12 10.5 4.5 0.366666666666667
1.1 12 10.5 5 0.330000000000000
1.1 12 10.5 5.5 0.300000000000000
1.1 12 10.5 6 0.275000000000000
1.1 12 11 4 0.275000000000000
1.1 12 11 4.5 0.244444444444444
1.1 12 11 5 0.220000000000000
1.1 12 11 5.5 0.200000000000000
1.1 12 11 6 0.183333333333333
1.1 12 11.5 4 0.137500000000000
1.1 12 11.5 4.5 0.122222222222222
1.1 12 11.5 5 0.110000000000000
1.1 12 11.5 5.5 0.100000000000000
1.1 12 11.5 6 0.091666666666667
1.1 12 12 4 0.000000000000000
1.1 12 12 4.5 0.000000000000000
1.1 12 12 5 0.000000000000000
1.1 12 12 5.5 0.000000000000000
1.1 12 12 6 0.000000000000000
1.2 10 10 4 0.000000000000000
1.2 10 10 4.5 0.000000000000000
1.2 10 10 5 0.000000000000000
1.2 10 10 5.5 0.000000000000000
1.2 10 10 6 0.000000000000000
1.2 10 10.5 4 -0.150000000000000
1.2 10 10.5 4.5 -0.133333333333333
1.2 10 10.5 5 -0.120000000000000
1.2 10 10.5 5.5 -0.109090909090909
1.2 10 10.5 6 -0.100000000000000
1.2 10 11 4 -0.300000000000000
1.2 10 11 4.5 -0.266666666666667
1.2 10 11 5 -0.240000000000000
1.2 10 11 5.5 -0.218181818181818
1.2 10 11 6 -0.200000000000000
1.2 10 11.5 4 -0.450000000000000
1.2 10 11.5 4.5 -0.400000000000000
1.2 10 11.5 5 -0.360000000000000
1.2 10 11.5 5.5 -0.327272727272727
1.2 10 11.5 6 -0.300000000000000
1.2 10 12 4 -0.600000000000000
1.2 10 12 4.5 -0.533333333333333
1.2 10 12 5 -0.480000000000000
1.2 10 12 5.5 -0.436363636363636
1.2 10 12 6 -0.400000000000000
1.2 10.5 10 4 0.150000000000000
1.2 10.5 10 4.5 0.133333333333333
1.2 10.5 10 5 0.120000000000000
1.2 10.5 10 5.5 0.109090909090909
1.2 10.5 10 6 0.100000000000000
1.2 10.5 10.5 4 0.000000000000000
1.2 10.5 10.5 4.5 0.000000000000000
1.2 10.5 10.5 5 0.000000000000000
1.2 10.5 10.5 5.5 0.000000000000000
1.2 10.5 10.5 6 0.000000000000000
1.2 10.5 11 4 -0.150000000000000
1.2 10.5 11 4.5 -0.133333333333333
1.2 10.5 11 5 -0.120000000000000
1.2 10.5 11 5.5 -0.109090909090909
1.2 10.5 11 6 -0.100000000000000
1.2 10.5 11.5 4 -0.300000000000000
1.2 10.5 11.5 4.5 -0.266666666666667
1.2 10.5 11.5 5 -0.240000000000000
1.2 10.5 11.5 5.5 -0.218181818181818
1.2 10.5 11.5 6 -0.200000000000000
1.2 10.5 12 4 -0.450000000000000
1.2 10.5 12 4.5 -0.400000000000000
1.2 10.5 12 5 -0.360000000000000
1.2 10.5 12 5.5 -0.327272727272727
1.2 10.5 12 6 -0.300000000000000
1.2 11 10 4 0.300000000000000
1.2 11 10 4.5 0.266666666666667
1.2 11 10 5 0.240000000000000
1.2 11 10 5.5 0.218181818181818
1.2 11 10 6 0.200000000000000
1.2 11 10.5 4 0.150000000000000
1.2 11 10.5 4.5 0.133333333333333
1.2 11 10.5 5 0.120000000000000
1.2 11 10.5 5.5 0.109090909090909
1.2 11 10.5 6 0.100000000000000
1.2 11 11 4 0.000000000000000
1.2 11 11 4.5 0.000000000000000
1.2 11 11 5 0.000000000000000
1.2 11 11 5.5 0.000000000000000
1.2 11 11 6 0.000000000000000
1.2 11 11.5 4 -0.150000000000000
1.2 11 11.5 4.5 -0.133333333333333
1.2 11 11.5 5 -0.120000000000000
1.2 11 11.5 5.5 -0.109090909090909
1.2 11 11.5 6 -0.100000000000000
1.2 11 12 4 -0.300000000000000
1.2 11 12 4.5 -0.266666666666667
1.2 11 12 5 -0.240000000000000
1.2 11 12 5.5 -0.218181818181818
1.2 11 12 6 -0.200000000000000
1.2 11.5 10 4 0.450000000000000
1.2 11.5 10 4.5 0.400000000000000
1.2 11.5 10 5 0.360000000000000
1.2 11.5 10 5.5 0.327272727272727
1.2 11.5 10 6 0.300000000000000
1.2 11.5 10.5 4 0.300000000000000
1.2 11.5 10.5 4.5 0.266666666666667
1.2 11.5 10.5 5 0.240000000000000
1.2 11.5 10.5 5.5 0.218181818181818
1.2 11.5 10.5 6 0.200000000000000
1.2 11.5 11 4 0.150000000000000
1.2 11.5 11 4.5 0.133333333333333
1.2 11.5 11 5 0.120000000000000
1.2 11.5 11 5.5 0.109090909090909
1.2 11.5 11 6 0.100000000000000
1.2 11.5 11.5 4 0.000000000000000
1.2 11.5 11.5 4.5 0.000000000000000
1.2 11.5 11.5 5 0.000000000000000
1.2 11.5 11.5 5.5 0.000000000000000
1.2 11.5 11.5 6 0.000000000000000
1.2 11.5 12 4 -0.150000000000000
1.2 11.5 12 4.5 -0.133333333333333
1.2 11.5 12 5 -0.120000000000000
1.2 11.5 12 5.5 -0.109090909090909
1.2 11.5 12 6 -0.100000000000000
1.2 12 10 4 0.600000000000000
1.2 12 10 4.5 0.533333333333333
1.2 12 10 5 0.480000000000000
1.2 12 10 5.5 0.436363636363636
1.2 12 10 6 0.400000000000000
1.2 12 10.5 4 0.450000000000000
1.2 12 10.5 4.5 0.400000000000000
1.2 12 10.5 5 0.360000000000000
1.2 12 10.5 5.5 0.327272727272727
1.2 12 10.5 6 0.300000000000000
1.2 12 11 4 0.300000000000000
1.2 12 11 4.5 0.266666666666667
1.2 12 11 5 0.240000000000000
1.2 12 11 5.5 0.218181818181818
1.2 12 11 6 0.200000000000000
1.2 12 11.5 4 0.150000000000000
1.2 12 11.5 4.5 0.133333333333333
1.2 12 11.5 5 0.120000000000000
1.2 12 11.5 5.5 0.109090909090909
1.2 12 11.5 6 0.100000000000000
1.2 12 12 4 0.000000000000000
1.2 12 12 4.5 0.000000000000000
1.2 12 12 5 0.000000000000000
1.2 12 12 5.5 0.000000000000000
1.2 12 12 6 0.000000000000000
1.3 10 10 4 0.000000000000000
1.3 10 10 4.5 0.000000000000000
1.3 10 10 5 0.000000000000000
1.3 10 10 5.5 0.000000000000000
1.3 10 10 6 0.000000000000000
1.3 10 10.5 4 -0.162500000000000
1.3 10 10.5 4.5 -0.144444444444445
1.3 10 10.5 5 -0.130000000000000
1.3 10 10.5 5.5 -0.118181818181818
1.3 10 10.5 6 -0.108333333333333
1.3 10 11 4 -0.325000000000000
1.3 10 11 4.5 -0.288888888888889
1.3 10 11 5 -0.260000000000000
1.3 10 11 5.5 -0.236363636363636
1.3 10 11 6 -0.216666666666667
1.3 10 11.5 4 -0.487500000000000
1.3 10 11.5 4.5 -0.433333333333333
1.3 10 11.5 5 -0.390000000000000
1.3 10 11.5 5.5 -0.354545454545455
1.3 10 11.5 6 -0.325000000000000
1.3 10 12 4 -0.650000000000000
1.3 10 12 4.5 -0.577777777777778
1.3 10 12 5 -0.520000000000000
1.3 10 12 5.5 -0.472727272727273
1.3 10 12 6 -0.433333333333333
1.3 10.5 10 4 0.162500000000000
1.3 10.5 10 4.5 0.144444444444445
1.3 10.5 10 5 0.130000000000000
1.3 10.5 10 5.5 0.118181818181818
1.3 10.5 10 6 0.108333333333333
1.3 10.5 10.5 4 0.000000000000000
1.3 10.5 10.5 4.5 0.000000000000000
1.3 10.5 10.5 5 0.000000000000000
1.3 10.5 10.5 5.5 0.000000000000000
1.3 10.5 10.5 6 0.000000000000000
1.3 10.5 11 4 -0.162500000000000
1.3 10.5 11 4.5 -0.144444444444445
1.3 10.5 11 5 -0.130000000000000
1.3 10.5 11 5.5 -0.118181818181818
1.3 10.5 11 6 -0.108333333333333
1.3 10.5 11.5 4 -0.325000000000000
1.3 10.5 11.5 4.5 -0.288888888888889
1.3 10.5 11.5 5 -0.260000000000000
1.3 10.5 11.5 5.5 -0.236363636363636
1.3 10.5 11.5 6 -0.216666666666667
1.3 10.5 12 4 -0.487500000000000
1.3 10.5 12 4.5 -0.433333333333333
1.3 10.5 12 5 -0.390000000000000
1.3 10.5 12 5.5 -0.354545454545455
1.3 10.5 12 6 -0.325000000000000
1.3 11 10 4 0.325000000000000
1.3 11 10 4.5 0.288888888888889
1.3 11 10 5 0.260000000000000
1.3 11 10 5.5 0.236363636363636
1.3 11 10 6 0.216666666666667
1.3 11 10.5 4 0.162500000000000
1.3 11 10.5 4.5 0.144444444444445
1.3 11 10.5 5 0.130000000000000
1.3 11 10.5 5.5 0.118181818181818
1.3 11 10.5 6 0.108333333333333
1.3 11 11 4 0.000000000000000
1.3 11 11 4.5 0.000000000000000
1.3 11 11 5 0.000000000000000
1.3 11 11 5.5 0.000000000000000
1.3 11 11 6 0.000000000000000
1.3 11 11.5 4 -0.162500000000000
1.3 11 11.5 4.5 -0.144444444444445
1.3 11 11.5 5 -0.130000000000000
1.3 11 11.5 5.5 -0.118181818181818
1.3 11 11.5 6 -0.108333333333333
1.3 11 12 4 -0.325000000000000
1.3 11 12 4.5 -0.288888888888889
1.3 11 12 5 -0.260000000000000
1.3 11 12 5.5 -0.236363636363636
1.3 11 12 6 -0.216666666666667
1.3 11.5 10 4 0.487500000000000
1.3 11.5 10 4.5 0.433333333333333
1.3 11.5 10 5 0.390000000000000
1.3 11.5 10 5.5 0.354545454545455
1.3 11.5 10 6 0.325000000000000
1.3 11.5 10.5 4 0.325000000000000
1.3 11.5 10.5 4.5 0.288888888888889
1.3 11.5 10.5 5 0.260000000000000
1.3 11.5 10.5 5.5 0.236363636363636
1.3 11.5 10.5 6 0.216666666666667
1.3 11.5 11 4 0.162500000000000
1.3 11.5 11 4.5 0.144444444444445
1.3 11.5 11 5 0.130000000000000
1.3 11.5 11 5.5 0.118181818181818
1.3 11.5 11 6 0.108333333333333
1.3 11.5 11.5 4 0.000000000000000
1.3 11.5 11.5 4.5 0.000000000000000
1.3 11.5 11.5 5 0.000000000000000
1.3 11.5 11.5 5.5 0.000000000000000
1.3 11.5 11.5 6 0.000000000000000
1.3 11.5 12 4 -0.162500000000000
1.3 11.5 12 4.5 -0.144444444444445
1.3 11.5 12 5 -0.130000000000000
1.3 11.5 12 5.5 -0.118181818181818
1.3 11.5 12 6 -0.108333333333333
1.3 12 10 4 0.650000000000000
1.3 12 10 4.5 0.577777777777778
1.3 12 10 5 0.520000000000000
1.3 12 10 5.5 0.472727272727273
1.3 12 10 6 0.433333333333333
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