Acceleration to Torque Calculator:
Enter the values of angular acceleration, a(rad/s2), mass, m(kg) and radius, r(m) to calculate the Acceleration to Torque, T(N.m).
Acceleration to Torque Formula:
The acceleration to torque formula is essential for determining the torque generated from accelerating a mass around a pivot point or axis.
Acceleration to Torque, T(N.m) in Newton metres, is calculated by multiplying the angular acceleration, a(rad/s2) in radians per second squared, by the mass, m(kg) in kilograms, and by the radius, r(m) in metres from the pivot point to the point where the mass is located.
Acceleration to Torque, T(N.m) = a(rad/s2) * m(kg) * r(m)
T(N.m) = Acceleration to Torque in Newton metres, N.m.
a(rad/s2) = Angular acceleration in radians per second squared, rad/s2.
m(kg) = Mass in kilograms, kg.
r(m) = Radius in metres, m.
Acceleration to Torque Calculation:
1. Suppose a disk with a mass of 10kg is mounted 0.5 metres away from a pivot point and is experiencing an angular acceleration of 2 rad/s2. Determine the torque required to achieve this acceleration.
Given: m(kg) = 10kg, a(rad/s2) = 2 rad/s2, r(m) = 0.5m
Acceleration to Torque, T(N.m) = a(rad/s2) * m(kg) * r(m)
T(N.m) = 2 * 10 * 0.5
T(N.m) = 10N.m.
2. A robotic arm is designed to rotate with an angular acceleration of 4rad/s2. The arm’s effective radius from its rotation axis to its center of mass is 0.2 metres and the torque needed to achieve this acceleration is 4N.m. Calculate the mass.
Given: T(N.m) = 4N.m., a(rad/s2) = 4 rad/s2, r(m) = 0.2m
Acceleration to Torque, T(N.m) = a(rad/s2) * m(kg) * r(m)
m(kg) = T(N.m) / r(m) * a(rad/s2)
m(kg) = 4 / 4 * 0.2
m(kg) = 5kg.