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In this lesson, we will learn how to calculate the kinematic properties of objects that are rotating or moving along circular paths.

Q1:

A wheel rotates at a constant rate of 3 . 0 × 1 0 3 rpm.

What is the wheel’s angular velocity?

Through what angle does the wheel turn in 5.0 s?

Q2:

On takeoff, the propellers on a UAV (unmanned aerial vehicle) increase their angular velocity from rest at a rate of 𝜔 = ( 2 5 . 0 𝑡 ) / r a d s for 3.0 s.

What is the instantaneous angular speed of the propellers at 𝑡 = 2 . 0 s ?

What is the magnitude of the angular acceleration of the propellers?

Q3:

A rod 2.35 m long is rotating at 1.4 rev/s about an axis at one of its ends.

What is the centripetal acceleration of a point on the rod that is 0.25 m from the rod’s axis of rotation?

What is the centripetal acceleration of a point on the rod that is 1.2 m from the rod’s axis of rotation?

What is the centripetal acceleration of a point on the rod that is 2.0 m from the rod’s axis of rotation?

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