Total Kinetic Energy Calculator
Enter the values of Mass m(kg), Linear Velocity V(m/s), Moment of Inertia I(kg-m2) & 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-m2) 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) * V2(m/s)) + (0.5 * I(kg-m2) * w2(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-m2) = 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-m2, Angular Velocity = 5rad/sec.
Answer
TE = (0.5 * m * V2) + (0.5 * I * w2)
TE = (0.5 * 10 * 52) + (0.5 * 12 * 52)
TE = 275 Joules.
2) Calculate the Angular Velocity and given for the Mass = 10kg, Linear Velocity = 5m/s, Moment of Inertia = 12kg-m2, Total Kinetic Energy = 275 Joules.
Answer
TE = (0.5 * m * V2) + (0.5 * I * w2)
275 = (0.5 * 10 * 52) + (0.5 * 12 * w2)
w = 5 radian/sec.