Question

For the definitions please include the equations to:

A:Give a definition of the torque as a vector. Briefly describe torque.

B: Give a definition of the angular acceleration. Briefly describe angular acceleration.

C: Give a definition of the moment of inertia.

Answer 1

A.The torque produced by a force takes the form of a vector product.

Torque is a measure of how much a force acting on an object causes that object to rotate.

B Angular acceleration, also called rotational acceleration, is a quantitative expression of the change in angular velocity that a spinning object undergoes per unit time. It is a vectorquantity, consisting of a magnitude component and either of two defined directions or senses.

C

oment of Inertia (Mass Moment of Inertia) - I - is a measure of an object's resistance to changes in rotation direction. Moment of Inertia has the same relationship to angular acceleration as mass has to linear acceleration.

For a point mass the Moment of Inertia is the mass times the square of perpendicular distance to the rotation reference axis and can be expressed as

I = m r²         (1)

where

I = moment of inertia (lb_m ft², kg m²)

m = mass (lb_m, kg)

r = distance between axis and rotation mass (ft, m)