Question

A wheel is spinning about a horizontal axis, with angular speed 140 rad/s and with its angular velocity pointing east.

a.)

Find the magnitude of its angular velocity after an angular acceleration of 34 rad/s2 , pointing 68 ∘ west of north, is applied for 5.5 s .

Express your answer using two significant figures.

b.)

Find the direction of its angular velocity.

Express your answer using two significant figures.

Answer 1

Here,

The angular velocity at instant of time is,

Then,