# An object with a mass of # 7 kg# is traveling in a circular path of a radius of #9 m#. If the object's angular velocity changes from # 5 Hz# to # 6 Hz# in # 8 s#, what torque was applied to the object?

##### 2 Answers

442.26 Nm

#### Explanation:

Torque acting on a particle is given as,

(Where, I is the moment if inertia and

Now,

Or, I= 567 SI unit

= (

=

= 0.78

Hence,

Or,442.26 N.m

The torque is

#### Explanation:

The torque is the rate of change of angular momentum

where

The mass of the object is

The radius of the path is

For the object, the moment of inertia is

So,

The rate of change of angular velocity is

So,

The torque is