__Kinetic energy to Torque Calculator:__

__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:__

__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:__

__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.

__Torque, Moment of Inertia, Rotational Kinetic Energy, Pulley, Incline, Angular Acceleration, Physics:__

__Torque, Moment of Inertia, Rotational Kinetic Energy, Pulley, Incline, Angular Acceleration, Physics:__