An object with a mass of # 2 kg# is traveling in a circular path of a radius of #4 m#. If the object's angular velocity changes from # 1 Hz# to # 6 Hz# in # 3 s#, what torque was applied to the object?
first we need to find out the change in instantaneous velocity .
which is from 1 Hz to 6 Hz using formula
substituting values of 1 Hz as
we get the values for instantanious velocity for 2 cases of 1 Hz and
6 Hz as 6.28
we use the Newton's law of motion according to which
We get the value for 'a' Acceleration as 10.99
For torque =
we substitute desired values and get 88 N