**Total Kinetic Energy Calculator**

Enter the values of Mass m_{(kg)}, Linear Velocity V_{(m/s)}, Moment of Inertia I_{(kg-m}^{2}_{)} & Angular Velocity w_{(radian/sec)} to determine the value of Total Kinetic Energy TE_{(J)} .

**Total Kinetic Energy Formula**

The Total Kinetic Energy TE_{(J)} in Joules is Equal to the Half into Multiply to the Mass m_{(kg)} in kilogram and Multiply to the Linear Velocity V_{(m/s)} in meter per second is squared and is Addition of Half into Multiply to the Moment of Inertia I_{(kg-m}^{2}_{)} in kilogram-meter square and again Multiply to the Angular Velocity w_{(radian/sec)} in radian per second.

The Formula of Total Kinetic Energy can be written as,

TE_{(J)} = (0.5 * m_{(kg)} * V^{2}_{(m/s)}) + (0.5 * I_{(kg-m}^{2}_{)} * w^{2}_{(radian/sec)})

Here,

TE_{(J)} = Total Kinetic Energy in Joules

m_{(kg)} = Mass in kilogram

V_{(m/s)} = Linear Velocity in meter per second

I_{(kg-m}^{2}_{)} = Moment of Inertia in kilogram-meter square

w_{(radian/sec)} = Angular Velocity in radian per second

Total Kinetic Energy Calculation:

1) Calculate the Total Kinetic Energy and given for the Mass = 10kg, Linear Velocity = 5m/s, Moment of Inertia = 12kg-m^{2}, Angular Velocity = 5rad/sec.

Answer

TE = (0.5 * m * V^{2}) + (0.5 * I * w^{2})

TE = (0.5 * 10 * 5^{2}) + (0.5 * 12 * 5^{2})

TE = 275 Joules.

2) Calculate the Angular Velocity and given for the Mass = 10kg, Linear Velocity = 5m/s, Moment of Inertia = 12kg-m^{2}, Total Kinetic Energy = 275 Joules.

Answer

TE = (0.5 * m * V^{2}) + (0.5 * I * w^{2})

275 = (0.5 * 10 * 5^{2}) + (0.5 * 12 * w^{2})

w = 5 radian/sec.