Angular Kinematics

A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s². What is its angular speed after this 7-s interval?

• 0.2 rad/s

• 0.3 rad/s

• 0.46 rad/s

• 0.78 rad/s

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

• 0.67 rad/s

• 1.5 rad/s

• 5 rad/s

• 6 rad/s

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s². What is the time interval required for it to reach a 4.2 rad displacement after starting from rest   

• 1.8 s

• 2.0 s

• 16 s

• 18 s

A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

• 9.6 rad/s/s

• 4.8 rad/s/s

• 3.1 rad/s/s

• 1.6 rad/s/s

A flywheel starts from rest, and has an angular acceleration of 4 rad/s². What will be its angular speed when it has made 2 revolutions?

• 7.09 rad/s

• 6.35 rad/s

• 10.03 rad/s

• 5.01 rad/s

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

• 6.67 rad/s

• 2500 rad/s

• 41.9 rad/s

• 20.9 rad/s

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

• 63.67 rad/s

• 41.9 rad/s

• 3819.71 rad/s

• 2594.31rad/s

Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. What is the velocity of bug B?

• 32 cm/s

• 2 cm/s

• 0.30 cm/s

• 15 cm/s

A wheel rotates with a constant angular acceleration of 0.1 rad/s^2. If its initial angular velocity is 0.5 rad/s, what will be its angular velocity after 10 seconds?

• 1.5 rad/s

• 2.5 rad/s

• 3.5 rad/s

• 4.5 rad/s