Kinetic energy to Torque Calculator:
Enter the values of change in kinetic energy, dKE(J) and change in angular position, dϴ(rad) to generate the value of kinetic energy to torque, T(N.m).
Kinetic energy to Torque Formula:
The relationship between kinetic energy and torque in rotational dynamics can be described by how changes in the kinetic energy of a rotating object relate to the torque applied to it.
Kinetic energy to torque, T(N.m) in Newton metres is generated by the change in kinetic energy, dKE(J) in jolues with respect to the change in angular position, dϴ(rad) in radians.
Kinetic energy to torque, T(N.m) = dKE(J) / dϴ(rad)
T(N.m) = kinetic energy to torque in Newton metres, N.m.
dKE(J) = change in kinetic energy in joules, J.
dϴ(rad) = change in angular position in radians, rad.
Kinetic energy to Torque Calculation:
- Consider a rotating wheel that experiences an increase in kinetic energy of 100 Joules as its angular position changes by 0.5 radians. Calculate the torque applied to the wheel.
Given: dKE(J) = 100J, dϴ(rad) = 0.5rad
Kinetic energy to torque, T(N.m) = dKE(J) / dϴ(rad)
T(N.m) = 100 / 0.5
T(N.m) = 200N.m.
- A turbine blade undergoes a change in kinetic energy of 250 Joules while its angular position changes by 2 radians. Determine the torque exerted on the turbine blade.
Given: T(N.m) = 125N.m., dϴ(rad) = 2rad
Kinetic energy to torque, T(N.m) = dKE(J) / dϴ(rad)
dKE(J) = T(N.m) * dϴ(rad)
dKE(J) = 125 * 2
dKE(J) = 250J.