Use kinematic equations for angular quantities to solve rotation problems.
A disc starting from rest experiences a constant angular accelertion of 6.9 rad/s/s. The disc goes through a total angular displacement of 52.0 radians.
What is its angular velocity after this rotation?
Final Angular Velocity
rad/s
How long did this change in angular velocity take?
Time
seconds
A Ferris wheel, rotating initially at an angular velocity of 0.60 rad/s, accelerates over a 4.30-second interval at a rate of 0.050 rad/s/s.
What angular displacement does the Ferris wheeel undergo in this interval of time?
Angular Displacement
radians
What is the final angular velocity of the ride?
A Ferris wheel, starting at rest, accelerates to a final angular velocity of 0.80 rad/s, while rotating through an angular dispalcement of 2.4 radians.
What is the ride's average angular acceleration?
Angular Acceleration
rad/s/s
How long will this change in angular velocity take?
A dentist's drill starts from rest. After 1.00 seconds of constant angular acceleration, it turns at a rate of 2.65x104 Rev/min.
What is the drill's angular acceleration?
Determine the angle through which the drill rotates during this period.
A centrifuge in a medical laboratory rotates at an angular speed of 3500 rev/min in the positive direction. When switched off, it rotates through 47.2 revolutions before coming to rest.
Determine the constant angular acceleration of the centrifuge.
How long does it take to come to a stop?
A machine part rotates at an angular speed of 0.635 rad/s; its speed is then increased to 2.225 rad/s at an angular acceleration of 0.675 rad/s/s.
Determine the angle through which the part rotates before reaching this final speed.
A tire placed on a balancing machine in a service station starts from rest and turns through 4.52 revolutions in 1.43 seconds before reaching its final angular speed.
Determine the angular acceleration of the tire.
What is the final angular velocity of the tire?