Question

The Wheels of automobiles are rotating with an angular velocity of 14 rev/second which is a reduced to 38 rad/sec in 5 seconds when breaks are applied. its angular acceleration is

Answer 1

Answer :

Initial angular velocity = 14 rev/s

Final angular velocity = 38 rev/s

Time interval = 5s

We have to find angular acceleration of the wheel$.$

★ Angular acceleration is measured as the rate of change of angular velocity of object.

• α = ω₂ - ω₁ / t

α denotes angular acceleration

ω₂ denotes final angular velocity

ω₁ denotes initial angular velocity

t denotes time

It is an axial vector quantity having both magnitude as well as direction.

Angular acceleration is a rotational analogue of linear acceleration.

SI unit : rad/s²

By substituting the given values;

➝ α = 38 - 14 / 5

➝ α = 24/5

➝ α = 4.8 rad/s²